104107442400
104,107,442,400 is an even composite number composed of seven prime numbers multiplied together.
104107442400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 104107442400:
25 × 33 × 52 × 13 × 17 × 113 × 193
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 17 × 113 × 193)See below for interesting mathematical facts about the number 104107442400 from the Numbermatics database.
Names of 104107442400
- Cardinal: 104107442400 can be written as One hundred four billion, one hundred seven million, four hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.041074424 × 1011
Factors of 104107442400
Divisors of 104107442400
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 27 30 32 34 36 39 40 45 48 50 51 52 54 60 65 68 72 75 78 80 85 90 96 100 102 104 108 113 117 120 130 135 136 144 150 153 156 160 170 180 193 195 200 204 208 216 221 225 226 234 240 255 260 270 272 288 300 306 312 325 339 340 351 360 386 390 400 408 416 425 432 442 450 452 459 468 480 510 520 540 544 565 579 585 600 612 624 650 663 675 678 680 702 720 765 772 780 800 816 850 864 884 900 904 918 936 965 975 1017 1020 1040 1080 1105 1130 1158 1170 1200 1224 1248 1275 1300 1326 1350 1356 1360 1404 1440 1469 1530 1544 1560 1632 1695 1700 1737 1755 1768 1800 1808 1836 1872 1921 1930 1950 1989 2034 2040 2080 2160 2210 2260 2295 2316 2340 2400 2448 2509 2550 2600 2652 2700 2712 2720 2808 2825 2895 2925 2938 3051 3060 3088 3120 3281 3315 3390 3400 3474 3510 3536 3600 3616 3672 3744 3825 3842 3860 3900 3978 4068 4080 4320 4407 4420 4520 4590 4632 4680 4825 4896 5018 5085 5100 5200 5211 5304 5400 5424 5525 5616 5650 5763 5790 5850 5876 5967 6102 6120 6176 6240 6562 6630 6780 6800 6948 7020 7072 7200 7344 7345 7527 7650 7684 7720 7800 7956 8136 8160 8475 8685 8775 8814 8840 9040 9180 9264 9360 9605 9650 9843 9945 10036 10170 10200 10400 10422 10608 10800 10848 11050 11232 11300 11475 11526 11580 11700 11752 11934 12204 12240 12545 13124 13221 13260 13560 13600 13896 14040 14475 14688 14690 15054 15255 15300 15368 15440 15600 15912 16272 16405 16575 16950 17289 17370 17550 17628 17680 18080 18360 18528 18720 19210 19300 19686 19890 20072 20340 20400 20844 21216 21600 21809 22035 22100 22581 22600 22950 23052 23160 23400 23504 23868 24408 24480 24973 25090 25425 26055 26248 26442 26520 27120 27792 28080 28815 28950 29380 29529 29835 30108 30510 30600 30736 30880 31200 31824 32544 32810 33150 33900 34578 34740 35100 35256 35360 36720 36725 37635 38420 38600 39372 39663 39780 40144 40680 40800 41688 42653 43425 43618 44070 44200 45162 45200 45900 46104 46320 46800 47008 47736 48025 48816 49215 49725 49946 50180 50850 51867 52110 52496 52884 53040 54240 55584 56160 57630 57900 58760 59058 59670 60216 61020 61200 61472 62725 63648 65427 65620 66105 66300 67743 67800 69156 69480 70200 70512 73440 73450 74919 75270 76275 76840 77200 78744 79326 79560 80288 81360 82025 83376 85306 86445 86850 87236 88140 88400 88587 90324 90400 91800 92208 92640 93600 95472 96050 97632 98430 99450 99892 100360 101700 103734 104220 104992 105768 106080 109045 110175 112905 115260 115800 117520 118116 119340 120432 122040 122400 124865 125450 127959 130275 130854 131240 132210 132600 135486 135600 138312 138960 140400 141024 144075 146900 147645 149175 149838 150540 152550 153680 154400 157488 158652 159120 162720 164050 166752 170612 172890 173700 174472 176280 176800 177174 180648 183600 184416 188175 190944 192100 196281 196860 198315 198900 199784 200720 203400 207468 208440 211536 213265 218090 220350 224757 225810 230520 231600 235040 236232 238680 240864 244080 246075 249730 250900 255918 259335 260550 261708 262480 264420 265200 270972 271200 276624 277920 280800 283517 288150 293800 295290 298350 299676 301080 305100 307360 314976 317304 318240 327135 328100 330525 338715 341224 345780 347400 348944 352560 354348 361296 367200 370753 374595 376350 383877 384200 392562 393720 396630 397800 399568 401440 406800 414936 416880 423072 426530 432225 436180 440700 442935 449514 451620 461040 463200 472464 477360 488160 492150 499460 501800 511836 518670 521100 523416 524960 528840 530400 541944 545225 553248 564525 567034 576300 587600 588843 590580 596700 599352 602160 610200 624325 634608 639795 654270 656200 661050 674271 677430 682448 691560 694800 697888 705120 708696 722592 738225 741506 749190 752700 767754 768400 785124 787440 793260 795600 799136 813600 829872 833760 850551 853060 864450 872360 881400 885870 899028 903240 922080 944928 954720 981405 984300 991575 998920 1003600 1023672 1037340 1042200 1046832 1057680 1066325 1083888 1090450 1112259 1123785 1129050 1134068 1151631 1152600 1175200 1177686 1181160 1193400 1198704 1204320 1220400 1248650 1269216 1279590 1296675 1308540 1312400 1322100 1348542 1354860 1364896 1383120 1389600 1417392 1417585 1476450 1483012 1498380 1505400 1535508 1536800 1570248 1574880 1586520 1591200 1635675 1659744 1693575 1701102 1706120 1728900 1744720 1762800 1771740 1798056 1806480 1853765 1872975 1919385 1962810 1968600 1983150 1997840 2007200 2047344 2074680 2084400 2093664 2115360 2132650 2167776 2180900 2214675 2224518 2247570 2258100 2268136 2303262 2305200 2355372 2362320 2386800 2397408 2440800 2497300 2551653 2559180 2593350 2617080 2624800 2644200 2697084 2709720 2766240 2834784 2835170 2944215 2952900 2966024 2996760 3010800 3071016 3140496 3173040 3198975 3271350 3336777 3371355 3387150 3402204 3412240 3457800 3489440 3525600 3543480 3596112 3612960 3707530 3745950 3838770 3925620 3937200 3966300 3995680 4094688 4149360 4168800 4252755 4265300 4361800 4429350 4449036 4495140 4516200 4536272 4606524 4610400 4710744 4724640 4773600 4819789 4907025 4994600 5103306 5118360 5186700 5234160 5288400 5394168 5419440 5561295 5618925 5670340 5758155 5888430 5905800 5932048 5993520 6021600 6142032 6280992 6346080 6397950 6542700 6673554 6742710 6774300 6804408 6824480 6915600 7086960 7087925 7192224 7415060 7491900 7654959 7677540 7851240 7874400 7932600 8298720 8505510 8530600 8723600 8858700 8898072 8990280 9032400 9072544 9213048 9268825 9421488 9596925 9639578 9814050 9989200 10010331 10206612 10236720 10373400 10468320 10576800 10788336 10838880 11122590 11237850 11340680 11516310 11776860 11811600 11864096 11987040 12284064 12758265 12795900 13085400 13347108 13485420 13548600 13608816 13831200 14173920 14175850 14459367 14721075 14830120 14983800 15309918 15355080 15702480 15865200 16683885 16856775 17011020 17061200 17447200 17717400 17796144 17980560 18064800 18426096 18537650 18842976 19193850 19279156 19628100 19978400 20020662 20413224 20473440 20746800 21263775 21576672 22245180 22475700 22681360 23032620 23553720 23623200 24098945 25516530 25591800 26170800 26694216 26970840 27097200 27217632 27806475 28351700 28790775 28918734 29442150 29660240 29967600 30619836 30710160 31404960 31730400 33367770 33713550 34022040 34122400 35434800 35592288 35961120 36852192 37075300 38274795 38387700 38558312 39256200 40041324 40826448 41493600 42527550 43378101 44490360 44951400 45362720 46065240 47107440 48197890 50051655 51033060 51183600 52341600 53388432 53941680 54194400 55612950 56703400 57581550 57837468 58884300 59320480 59935200 61239672 61420320 63791325 66735540 67427100 68044080 70869600 72296835 74150600 76549590 76775400 77116624 78512400 80082648 81652896 83419425 85055100 86756202 88980720 89902800 92130480 94214880 96395780 100103310 102066120 102367200 106776864 107883360 111225900 113406800 115163100 115674936 117768600 120494725 122479344 127582650 130134303 133471080 134854200 136088160 144593670 148301200 153099180 153550800 154233248 157024800 160165296 166838850 170110200 173512404 177961440 179805600 184260960 191373975 192791560 200206620 204132240 216890505 222451800 226813600 230326200 231349872 235537200 240989450 244958688 250258275 255165300 260268606 266942160 269708400 289187340 296602400 306198360 307101600 320330592 333677700 340220400 347024808 361484175 382747950 385583120 400413240 408264480 433781010 444903600 460652400 462699744 471074400 481978900 500516550 510330600 520537212 533884320 539416800 578374680 612396720 650671515 667355400 680440800 694049616 722968350 765495900 771166240 800826480 867562020 889807200 921304800 963957800 1001033100 1020661200 1041074424 1084452525 1156749360 1224793440 1301343030 1334710800 1388099232 1445936700 1530991800 1601652960 1735124040 1927915600 2002066200 2041322400 2082148848 2168905050 2313498720 2602686060 2669421600 2891873400 3061983600 3253357575 3470248080 3855831200 4004132400 4164297696 4337810100 5205372120 5783746800 6123967200 6506715150 6940496160 8008264800 8675620200 10410744240 11567493600 13013430300 17351240400 20821488480 26026860600 34702480800 52053721200 104107442400
- Sum of all divisors σ(n): 435380883840
- Sum of proper divisors (its aliquot sum) s(n): 331273441440
- 104107442400 is an abundant number, because the sum of its proper divisors (331273441440) is greater than itself. Its abundance is 227165999040
Bases of 104107442400
- Binary: 11000001111010100100110000000111000002
- Hexadecimal: 0x183D4980E0
- Base-36: 1BTQVSO0
Squares and roots of 104107442400
- 104107442400 squared (1041074424002) is 10838359563069317760000
- 104107442400 cubed (1041074424003) is 1128353893922728165906497024000000
-
The
square root of 104107442400 is 322656.8492996855 -
The
cube root of 104107442400 is 4704.2882606565
Scales and comparisons
How big is 104107442400?- 104,107,442,400 seconds is equal to 3,310 years, 15 weeks, 2 days, 6 hours.
-
To count from 1 to 104,107,442,400 would take you about six thousand, six hundred twenty 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 104107442400 cubic inches would be around 392 feet tall.
Recreational maths with 104107442400
- 104107442400 backwards is 004244701401
- 104107442400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 104107442400's digits is 27
- More coming soon!
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The information we have on file for 104107442400 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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