138830932800
138,830,932,800 is an even composite number composed of seven prime numbers multiplied together.
138830932800 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 138830932800:
26 × 33 × 52 × 7 × 19 × 73 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 19 × 73 × 331)See below for interesting mathematical facts about the number 138830932800 from the Numbermatics database.
Names of 138830932800
- Cardinal: 138830932800 can be written as One hundred thirty-eight billion, eight hundred thirty million, nine hundred thirty-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.388309328 × 1011
Factors of 138830932800
Divisors of 138830932800
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 27 28 30 32 35 36 38 40 42 45 48 50 54 56 57 60 63 64 70 72 73 75 76 80 84 90 95 96 100 105 108 112 114 120 126 133 135 140 144 146 150 152 160 168 171 175 180 189 190 192 200 210 216 219 224 225 228 240 252 266 270 280 285 288 292 300 304 315 320 331 336 342 350 360 365 378 380 399 400 420 432 438 448 450 456 475 480 504 511 513 525 532 540 560 570 576 584 600 608 630 657 662 665 672 675 684 700 720 730 756 760 798 800 840 855 864 876 900 912 945 950 960 993 1008 1022 1026 1050 1064 1080 1095 1120 1140 1168 1197 1200 1216 1260 1314 1324 1330 1344 1350 1368 1387 1400 1425 1440 1460 1512 1520 1533 1575 1596 1600 1655 1680 1710 1728 1752 1800 1824 1825 1890 1900 1971 1986 1995 2016 2044 2052 2100 2128 2160 2190 2240 2280 2317 2336 2394 2400 2520 2555 2565 2628 2648 2660 2700 2736 2774 2800 2850 2880 2920 2979 3024 3040 3066 3150 3192 3285 3310 3325 3360 3420 3504 3591 3600 3648 3650 3780 3800 3942 3972 3990 4032 4088 4104 4161 4200 4256 4275 4320 4380 4560 4599 4634 4672 4725 4788 4800 4965 5040 5110 5130 5256 5296 5320 5400 5472 5475 5548 5600 5700 5840 5958 5985 6048 6080 6132 6289 6300 6384 6570 6620 6650 6720 6840 6935 6951 7008 7182 7200 7300 7560 7600 7665 7884 7944 7980 8176 8208 8275 8322 8400 8512 8550 8640 8760 8937 9120 9198 9268 9450 9576 9709 9855 9930 9975 10080 10220 10260 10512 10592 10640 10800 10944 10950 11096 11200 11400 11585 11680 11916 11970 12096 12264 12483 12578 12600 12768 12775 12825 13140 13240 13300 13680 13797 13870 13902 14016 14364 14400 14600 14895 15120 15200 15330 15768 15888 15960 16352 16416 16425 16550 16644 16800 17100 17520 17874 17955 18240 18396 18536 18867 18900 19152 19418 19710 19860 19950 20160 20440 20520 20805 20853 21024 21184 21280 21600 21900 22192 22800 22995 23170 23360 23832 23940 24163 24528 24825 24966 25156 25200 25536 25550 25650 26280 26480 26600 27360 27594 27740 27804 28728 29127 29200 29790 29925 30240 30400 30660 31445 31536 31776 31920 32704 32832 32850 33100 33288 33600 34200 34675 34755 35040 35748 35910 36792 37072 37449 37734 37800 38304 38325 38836 39420 39720 39900 40880 41040 41610 41706 42048 42560 43200 43800 44023 44384 44685 45600 45990 46340 47664 47880 48326 48545 49056 49275 49650 49932 50312 50400 51100 51300 52560 52960 53200 54720 55188 55480 55608 56601 57456 57925 58254 58400 59580 59850 60480 61320 62415 62559 62890 63072 63552 63840 65700 66200 66576 68400 68985 69350 69510 70080 71496 71820 72489 73584 74144 74475 74898 75468 75600 76608 76650 77672 78840 79440 79800 81760 82080 83220 83412 87381 87600 88046 88768 89370 89775 91200 91980 92680 94335 95328 95760 96652 97090 98112 98550 99300 99864 100624 100800 102200 102600 104025 104265 105120 105920 106400 110376 110960 111216 113202 114912 114975 115850 116508 116800 119160 119700 120815 122640 124830 125118 125780 126144 127680 131400 132069 132400 133152 136800 137970 138700 139020 142992 143640 144978 145635 147168 148288 148950 149796 150936 151200 153300 155344 157225 157680 158880 159600 163520 164160 166440 166824 169141 169803 173775 174762 175200 176092 178740 179550 183960 185360 187245 188670 190656 191520 193304 194180 197100 198600 199728 201248 204400 205200 208050 208530 210240 212800 217467 220115 220752 221920 222432 223425 226404 229824 229950 231700 233016 238320 239400 241630 242725 245280 249660 250236 251560 262143 262800 264138 264800 266304 273600 275940 277400 278040 283005 285984 287280 289956 291270 294336 297900 299592 301872 302400 306600 310688 312075 312795 314450 315360 317760 319200 332880 333648 338282 339606 344925 347550 349524 350400 352184 357480 359100 362445 367920 370720 374490 377340 383040 386608 388360 394200 396207 397200 399456 402496 408800 410400 416100 417060 434934 436905 440230 441504 443840 444864 446850 452808 459097 459900 463400 466032 471675 476640 478800 483260 485450 490560 499320 500472 503120 507423 521325 524286 525600 528276 529600 551880 554800 556080 566010 571968 574560 579912 582540 595800 599184 603744 604075 613200 621376 624150 625590 628900 630720 638400 652401 660345 665760 667296 676564 679212 689850 695100 699048 704368 714960 718200 724890 728175 735840 741440 748980 754680 773216 776720 788400 792414 794400 798912 817600 820800 832200 834120 845705 849015 869868 873810 880460 883008 893700 905616 918194 919800 926800 932064 936225 943350 953280 957600 966520 970900 998640 1000944 1006240 1014846 1042650 1048572 1051200 1056552 1087335 1100575 1103760 1109600 1112160 1132020 1149120 1159824 1165080 1188621 1191600 1198368 1207488 1208150 1226400 1248300 1251180 1257800 1304802 1310715 1320690 1331520 1334592 1353128 1358424 1377291 1379700 1390200 1398096 1408736 1415025 1429920 1436400 1449780 1456350 1471680 1497960 1509360 1522269 1546432 1553440 1563975 1576800 1584828 1588800 1664400 1668240 1691410 1698030 1739736 1747620 1760920 1787400 1811232 1812225 1836388 1839600 1853600 1864128 1872450 1886700 1915200 1933040 1941800 1981035 1997280 2001888 2012480 2029692 2085300 2097144 2113104 2174670 2184525 2201150 2207520 2219200 2224320 2264040 2295485 2319648 2330160 2377242 2383200 2396736 2416300 2452800 2496600 2502360 2515600 2537115 2609604 2621430 2641380 2706256 2716848 2754582 2759400 2780400 2796192 2817472 2830050 2859840 2872800 2899560 2912700 2995920 3018720 3044538 3106880 3127950 3153600 3169656 3213679 3262005 3301725 3328800 3336480 3382820 3396060 3479472 3495240 3521840 3574800 3622464 3624450 3672776 3679200 3707200 3744900 3773400 3866080 3883600 3962070 3994560 4003776 4059384 4131873 4170600 4194288 4226208 4228525 4245075 4349340 4369050 4402300 4415040 4528080 4566807 4590970 4639296 4660320 4754484 4766400 4832600 4993200 5004720 5031200 5074230 5219208 5242860 5282760 5412512 5433696 5436675 5509164 5518800 5560800 5592384 5660100 5745600 5799120 5825400 5943105 5991840 6037440 6089076 6255900 6339312 6427358 6524010 6553575 6603450 6657600 6672960 6765640 6792120 6886455 6958944 6990480 7043680 7149600 7248900 7345552 7358400 7489800 7546800 7611345 7732160 7767200 7924140 8118768 8263746 8341200 8388576 8452416 8457050 8490150 8698680 8738100 8804600 9056160 9133614 9181940 9320640 9508968 9641037 9665200 9905175 9986400 10009440 10062400 10148460 10438416 10485720 10565520 10825024 10867392 10873350 11018328 11037600 11121600 11320200 11477425 11598240 11650800 11886210 11983680 12178152 12395619 12511800 12678624 12685575 12854716 13048020 13107150 13206900 13531280 13584240 13772910 13917888 13980960 14087360 14299200 14497800 14691104 14979600 15093600 15222690 15534400 15848280 16068395 16237536 16310025 16527492 16682400 16777152 16914100 16980300 17397360 17476200 17609200 18112320 18267228 18363880 19017936 19282074 19330400 19810350 19972800 20018880 20296920 20659365 20876832 20971440 21131040 21746700 22036656 22075200 22640400 22834035 22954850 23196480 23301600 23772420 24356304 24791238 25023600 25357248 25371150 25709432 26096040 26214300 26413800 27062560 27168480 27545820 27961920 28923111 28995600 29382208 29715525 29959200 30187200 30445380 31696560 32136790 32475072 32620050 33054984 33364800 33828200 33960600 34432275 34794720 34952400 35218400 36534456 36727760 38035872 38056725 38564148 38660800 39620700 40593840 41318730 41753664 41942880 42262080 43493400 44073312 45280800 45668070 45909700 46603200 47544840 48205185 48712608 49582476 50047200 50742300 51418864 52192080 52428600 52827600 54125120 54336960 55091640 57846222 57991200 59431050 59918400 60890760 61978095 63393120 64273580 65240100 66109968 67656400 67921200 68864550 69589440 69904800 70436800 73068912 73455520 76071744 76113450 77128296 79241400 80341975 81187680 82637460 83885760 86769333 86986800 88146624 90561600 91336140 91819400 95089680 96410370 97425216 99164952 100094400 101484600 102837728 103296825 104384160 104857200 105655200 110183280 114170175 115692444 115982400 118862100 121781520 123956190 126786240 128547160 130480200 132219936 135312800 135842400 137729100 139809600 144615555 146137824 146911040 152226900 154256592 158482800 160683950 162375360 165274920 173538666 173973600 182672280 183638800 190179360 192820740 198329904 202969200 205675456 206593650 208768320 209714400 211310400 220366560 228340350 231384888 237724200 241025925 243563040 247912380 257094320 260960400 264439872 270625600 271684800 275458200 289231110 292275648 304453800 308513184 309890475 316965600 321367900 330549840 347077332 347947200 365344560 367277600 380358720 385641480 396659808 405938400 413187300 419428800 433846665 440733120 456680700 462769776 475448400 482051850 487126080 495824760 514188640 521920800 550916400 578462220 608907600 617026368 619780950 633931200 642735800 661099680 694154664 723077775 730689120 734555200 771282960 793319616 811876800 826374600 867693330 913361400 925539552 950896800 964103700 991649520 1028377280 1043841600 1101832800 1156924440 1217815200 1239561900 1285471600 1322199360 1388309328 1446155550 1461378240 1542565920 1652749200 1735386660 1826722800 1851079104 1901793600 1928207400 1983299040 2169233325 2203665600 2313848880 2435630400 2479123800 2570943200 2776618656 2892311100 3085131840 3305498400 3470773320 3653445600 3856414800 3966598080 4338466650 4627697760 4958247600 5141886400 5553237312 5784622200 6610996800 6941546640 7306891200 7712829600 8676933300 9255395520 9916495200 11569244400 13883093280 15425659200 17353866600 19832990400 23138488800 27766186560 34707733200 46276977600 69415466400 138830932800
- Sum of all divisors σ(n): 619034982400
- Sum of proper divisors (its aliquot sum) s(n): 480204049600
- 138830932800 is an abundant number, because the sum of its proper divisors (480204049600) is greater than itself. Its abundance is 341373116800
Bases of 138830932800
- Binary: 100000010100101111011111101011010000002
- Hexadecimal: 0x2052F7EB40
- Base-36: 1RS0CPC0
Squares and roots of 138830932800
- 138830932800 squared (1388309328002) is 19274027902118115840000
- 138830932800 cubed (1388309328003) is 2675831272464285117845655552000000
-
The
square root of 138830932800 is 372600.2318839859 -
The
cube root of 138830932800 is 5178.0004108657
Scales and comparisons
How big is 138830932800?- 138,830,932,800 seconds is equal to 4,414 years, 20 weeks, 3 days, 12 hours.
-
To count from 1 to 138,830,932,800 would take you about eight thousand, eight hundred twenty-eight 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 138830932800 cubic inches would be around 431.5 feet tall.
Recreational maths with 138830932800
- 138830932800 backwards is 008239038831
- 138830932800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138830932800's digits is 45
- More coming soon!
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The information we have on file for 138830932800 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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