4404968990400
4,404,968,990,400 is an even composite number composed of seven prime numbers multiplied together.
4404968990400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 4404968990400:
26 × 3 × 52 × 113 × 61 × 89 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 11 × 11 × 61 × 89 × 127)See below for interesting mathematical facts about the number 4404968990400 from the Numbermatics database.
Names of 4404968990400
- Cardinal: 4404968990400 can be written as Four trillion, four hundred four billion, nine hundred sixty-eight million, nine hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 4.4049689904 × 1012
Factors of 4404968990400
Divisors of 4404968990400
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 61 64 66 75 80 88 89 96 100 110 120 121 122 127 132 150 160 165 176 178 183 192 200 220 240 242 244 254 264 267 275 300 305 320 330 352 356 363 366 381 400 440 445 480 484 488 508 528 534 550 600 605 610 635 660 671 704 712 726 732 762 800 825 880 890 915 960 968 976 979 1016 1056 1068 1100 1200 1210 1220 1270 1320 1331 1335 1342 1397 1424 1452 1464 1524 1525 1600 1650 1760 1780 1815 1830 1905 1936 1952 1958 2013 2032 2112 2136 2200 2225 2400 2420 2440 2540 2640 2662 2670 2684 2794 2848 2904 2928 2937 3025 3048 3050 3175 3300 3355 3520 3560 3630 3660 3810 3872 3904 3916 3993 4026 4064 4191 4272 4400 4450 4575 4800 4840 4880 4895 5080 5280 5324 5340 5368 5429 5588 5696 5808 5856 5874 6050 6096 6100 6350 6600 6655 6675 6710 6985 7120 7260 7320 7381 7620 7744 7747 7832 7986 8052 8128 8382 8544 8800 8900 9075 9150 9525 9680 9760 9790 10065 10160 10560 10648 10680 10736 10769 10858 11176 11303 11616 11712 11748 12100 12192 12200 12700 13200 13310 13350 13420 13970 14240 14520 14640 14685 14762 15240 15367 15494 15664 15972 16104 16287 16764 16775 17088 17600 17800 18150 18300 19050 19360 19520 19580 19965 20130 20320 20955 21296 21360 21472 21538 21716 22143 22352 22606 23232 23241 23496 24200 24384 24400 24475 25400 26400 26620 26700 26840 27145 27940 28480 29040 29280 29370 29524 30480 30734 30988 31328 31944 32208 32307 32574 33275 33528 33550 33909 34925 35600 36300 36600 36905 38100 38720 38735 39160 39930 40260 40640 41910 42592 42720 42944 43076 43432 44286 44704 45212 46101 46482 46992 48400 48800 48950 50325 50800 52800 53240 53400 53680 53845 54290 55880 56515 58080 58560 58740 59048 59719 60960 61468 61976 62656 63888 64416 64614 65148 66550 67056 67100 67818 69850 71200 72600 73200 73425 73810 76200 76835 77470 78320 79860 80520 81191 81435 83820 85184 85217 85440 86152 86864 88572 89408 90424 92202 92964 93984 96800 97600 97900 99825 100650 101600 104775 106480 106800 107360 107690 108580 110715 111760 113030 116160 116205 117480 118096 118459 119438 121920 122936 123952 124333 127776 128832 129228 130296 133100 134112 134200 135636 135725 139700 142400 145200 146400 146850 147620 152400 153670 154940 156640 159720 161040 161535 162382 162870 167640 169037 169545 170434 172304 173728 177144 179157 180848 184404 184525 185928 187968 193600 193675 195800 199650 201300 203200 209550 212960 213600 214720 215380 217160 221430 223520 226060 230505 232410 234960 236192 236918 238876 243573 245872 247904 248666 255552 255651 258456 260592 266200 268224 268400 269225 271272 271450 279400 282575 290400 292800 293700 295240 298595 304800 307340 309880 313280 319440 322080 323070 324764 325740 335280 338074 339090 340868 344608 347456 354288 355377 358314 361696 368808 369050 371856 372999 384175 387350 391600 399300 402600 405955 407175 419100 425920 426085 427200 430760 434320 442860 447040 452120 461010 464820 469920 472384 473836 477752 487146 491744 495808 497332 507111 511302 516912 521184 532400 536800 538450 542544 542900 553575 558800 565150 580800 581025 587400 590480 592295 597190 609600 614680 619760 621665 638880 644160 646140 649528 651480 656909 670560 676148 678180 681736 689216 689483 708576 710754 716628 723392 737616 738100 743712 745998 768350 774700 783200 798600 805200 807675 811910 814350 838200 845185 847725 852170 861520 868640 885720 895785 904240 922020 929640 937387 939840 947672 955504 974292 983488 994664 1014222 1022604 1033824 1042368 1064800 1073600 1076900 1085088 1085800 1107150 1117600 1130300 1152525 1162050 1174800 1180960 1184590 1194380 1217865 1229360 1239520 1243330 1277760 1278255 1292280 1299056 1302960 1313818 1341120 1352296 1356360 1363472 1367663 1378966 1417152 1421508 1433256 1475232 1476200 1487424 1491996 1492975 1536700 1549400 1566400 1597200 1610400 1615350 1623820 1628700 1676400 1690370 1695450 1704340 1723040 1737280 1771440 1776885 1791570 1808480 1844040 1859280 1864995 1874774 1895344 1911008 1948584 1970727 1989328 2028444 2029775 2045208 2067648 2068449 2129600 2130425 2153800 2170176 2171600 2214300 2235200 2260600 2305050 2324100 2349600 2361920 2369180 2388760 2435730 2458720 2479040 2486660 2535555 2556510 2584560 2598112 2605920 2627636 2704592 2712720 2726944 2735326 2757932 2812161 2843016 2866512 2950464 2952400 2961475 2983992 2985950 3073400 3098800 3108325 3194400 3220800 3230700 3247640 3257400 3284545 3352800 3380740 3390900 3408680 3446080 3447415 3542880 3553770 3583140 3616960 3688080 3718560 3729990 3749548 3790688 3822016 3897168 3941454 3978656 4056888 4059550 4090416 4102989 4136898 4225925 4260850 4307600 4343200 4428600 4478925 4521200 4610100 4648200 4686935 4699200 4738360 4777520 4871460 4917440 4973320 5071110 5113020 5169120 5196224 5211840 5255272 5409184 5425440 5453888 5470652 5515864 5624322 5686032 5733024 5904800 5922950 5967984 5971900 6089325 6146800 6197600 6216650 6388800 6391275 6461400 6495280 6514800 6569090 6705600 6761480 6781800 6817360 6838315 6894830 7085760 7107540 7166280 7225999 7376160 7437120 7459980 7499096 7581376 7584313 7794336 7882908 7957312 8113776 8119100 8180832 8205978 8273796 8451850 8521700 8615200 8686400 8857200 8884425 8957850 9042400 9220200 9296400 9324975 9373870 9476720 9555040 9742920 9853635 9946640 10142220 10226040 10311257 10338240 10342245 10510544 10818368 10850880 10941304 11031728 11248644 11372064 11466048 11809600 11845900 11935968 11943800 12178650 12293600 12395200 12433300 12677775 12782550 12922800 12990560 13029600 13138180 13522960 13563600 13634720 13676630 13789660 14060805 14215080 14332560 14451998 14752320 14919960 14998192 15044293 15168626 15588672 15765816 16227552 16238200 16361664 16411956 16422725 16547592 16903700 17043400 17230400 17237075 17714400 17768850 17915700 18084800 18440400 18592800 18649950 18747740 18953440 19110080 19485840 19707270 19893280 20284440 20452080 20514945 20622514 20684490 21021088 21677997 21882608 22063456 22497288 22744128 22752939 23434675 23691800 23871936 23887600 24357300 24587200 24866600 25355550 25565100 25845600 25981120 26059200 26276360 27045920 27127200 27269440 27353260 27579320 28121610 28430160 28665120 28903996 29839920 29996384 30088586 30337252 30933771 31531632 32455104 32476400 32823912 32845450 33095184 33807400 34086800 34191575 34474150 35428800 35537700 35831400 36129995 36880800 37185600 37299900 37495480 37906880 37921565 38971680 39414540 39786560 40568880 40904160 41029890 41245028 41368980 42042176 43355994 43765216 44126912 44994576 45132879 45505878 46869350 47383600 47775200 48714600 49268175 49733200 50711100 51130200 51556285 51691200 51711225 52552720 54091840 54254400 54706520 55158640 56243220 56860320 57330240 57807992 59679840 59992768 60177172 60674504 61867542 63063264 64952800 65647824 65690900 66190368 67614800 68173600 68383150 68948300 70304025 71075400 71662800 72259990 73761600 74599800 74990960 75221465 75843130 77943360 78829080 81137760 81808320 82059780 82490056 82737960 83427443 86711988 87530432 89989152 90265758 91011756 93738700 94767200 95550400 97429200 98536350 99466400 101422200 102260400 102574725 103112570 103422450 105105440 108389985 109413040 110317280 112486440 113720640 113764695 115615984 119359680 120354344 121349008 123735084 126126528 129905600 131295648 131381800 132380736 135229600 136347200 136766300 137896600 140608050 142150800 143325600 144519980 149199600 149981920 150442930 151686260 154668855 157658160 162275520 164119560 164980112 165475920 166854886 173423976 179978304 180531516 180649975 182023512 187477400 189534400 189607825 194858400 197072700 198932800 202844400 204520800 205149450 206225140 206844900 210210880 216779970 218826080 220634560 224972880 225664395 227529390 231231968 240708688 242698016 247470168 250282329 257781425 262591296 262763600 270459200 273532600 275793200 281216100 284301600 286651200 289039960 298399200 299963840 300885860 303372520 309337710 315316320 328239120 329960224 330951840 333709772 346847952 361063032 361299950 364047024 374954800 376107325 379215650 389716800 394145400 405688800 409041600 410298900 412450280 413689800 417137215 433559940 437652160 449945760 451328790 455058780 462463936 481417376 485396032 494940336 500564658 515562850 525527200 541949925 547065200 551586400 562432200 568603200 568823475 578079920 596798400 601771720 606745040 618675420 630632640 656478240 659920448 661903680 667419544 693695904 722126064 722599900 728094048 749909600 752214650 758431300 773344275 788290800 811377600 820597800 824900560 827379600 834274430 867119880 899891520 902657580 910117560 917701873 962834752 989880672 1001129316 1031125700 1051054400 1083899850 1094130400 1103172800 1124864400 1128321975 1137646950 1156159840 1203543440 1213490080 1237350840 1251411645 1312956480 1334839088 1387391808 1444252128 1445199800 1456188096 1499819200 1504429300 1516862600 1546688550 1576581600 1641195600 1649801120 1654759200 1668548860 1734239760 1805315160 1820235120 1835403746 1979761344 2002258632 2062251400 2085686075 2167799700 2188260800 2249728800 2256643950 2275293900 2312319680 2407086880 2426980160 2474701680 2502823290 2669678176 2753105619 2888504256 2890399600 3008858600 3033725200 3093377100 3153163200 3282391200 3299602240 3309518400 3337097720 3468479520 3610630320 3640470240 3670807492 4004517264 4124502800 4171372150 4335599400 4499457600 4513287900 4550587800 4588509365 4814173760 4949403360 5005646580 5339356352 5506211238 5780799200 6017717200 6067450400 6186754200 6257058225 6564782400 6674195440 6936959040 7221260640 7280940480 7341614984 8009034528 8249005600 8342744300 8671198800 9026575800 9101175600 9177018730 9898806720 10011293160 11012422476 11561598400 12035434400 12134900800 12373508400 12514116450 13348390880 13765528095 14442521280 14683229968 16018069056 16498011200 16685488600 17342397600 18053151600 18202351200 18354037460 20022586320 22024844952 22942546825 24070868800 24747016800 25028232900 26696781760 27531056190 29366459936 33370977200 34684795200 36106303200 36404702400 36708074920 40045172640 44049689904 45885093650 49494033600 50056465800 55062112380 58732919872 66741954400 68827640475 72212606400 73416149840 80090345280 88099379808 91770187300 100112931600 110124224760 133483908800 137655280950 146832299680 176198759616 183540374600 200225863200 220248449520 275310561900 293664599360 367080749200 400451726400 440496899040 550621123800 734161498400 880993798080 1101242247600 1468322996800 2202484495200 4404968990400
- Sum of all divisors σ(n): 16466854625280
- Sum of proper divisors (its aliquot sum) s(n): 12061885634880
- 4404968990400 is an abundant number, because the sum of its proper divisors (12061885634880) is greater than itself. Its abundance is 7656916644480
Bases of 4404968990400
- Binary: 10000000001100111001001110010100110110000002
- Hexadecimal: 0x4019C9CA6C0
- Base-36: 1K7M4SXXC
Squares and roots of 4404968990400
- 4404968990400 squared (44049689904002) is 19403751806385595292160000
- 4404968990400 cubed (44049689904003) is 85472925004546531967209028235264000000
-
The
square root of 4404968990400 is 2098801.7987413675 -
The
cube root of 4404968990400 is 16392.5915755463
Scales and comparisons
How big is 4404968990400?- 4,404,968,990,400 seconds is equal to 140,064 years, 20 weeks, 1 day, 9 hours, 20 minutes.
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To count from 1 to 4,404,968,990,400 would take you about three hundred fifty thousand, one hundred sixty years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 4404968990400 cubic inches would be around 1366 feet tall.
Recreational maths with 4404968990400
- 4404968990400 backwards is 0040998694044
- The number of decimal digits it has is: 13
- The sum of 4404968990400's digits is 57
- More coming soon!
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The information we have on file for 4404968990400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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