125728675072
125,728,675,072 is an even composite number composed of seven prime numbers multiplied together.
125728675072 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 125728675072:
28 × 73 × 11 × 13 × 17 × 19 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 11 × 13 × 17 × 19 × 31)See below for interesting mathematical facts about the number 125728675072 from the Numbermatics database.
Names of 125728675072
- Cardinal: 125728675072 can be written as One hundred twenty-five billion, seven hundred twenty-eight million, six hundred seventy-five thousand and seventy-two.
Scientific notation
- Scientific notation: 1.25728675072 × 1011
Factors of 125728675072
Divisors of 125728675072
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 17 19 22 26 28 31 32 34 38 44 49 52 56 62 64 68 76 77 88 91 98 104 112 119 124 128 133 136 143 152 154 176 182 187 196 208 209 217 221 224 238 247 248 256 266 272 286 304 308 323 341 343 352 364 374 392 403 416 418 434 442 448 476 494 496 527 532 539 544 572 589 608 616 637 646 682 686 704 728 748 784 806 832 833 836 868 884 896 931 952 988 992 1001 1054 1064 1078 1088 1144 1178 1216 1232 1274 1292 1309 1364 1372 1408 1456 1463 1496 1519 1547 1568 1612 1664 1666 1672 1729 1736 1768 1792 1862 1904 1976 1984 2002 2108 2128 2156 2176 2261 2288 2356 2387 2431 2432 2464 2548 2584 2618 2717 2728 2744 2816 2821 2912 2926 2992 3038 3094 3136 3224 3328 3332 3344 3458 3472 3536 3553 3689 3724 3773 3808 3952 3968 4004 4123 4199 4216 4256 4312 4352 4433 4459 4522 4576 4712 4774 4862 4864 4928 5096 5168 5236 5434 5456 5488 5642 5797 5824 5831 5852 5984 6076 6188 6272 6448 6479 6517 6664 6688 6851 6916 6944 7007 7072 7106 7378 7448 7546 7616 7657 7904 7936 8008 8246 8398 8432 8512 8624 8866 8918 9044 9152 9163 9424 9548 9724 9856 10013 10192 10241 10336 10472 10633 10829 10868 10912 10976 11284 11594 11648 11662 11704 11968 12103 12152 12376 12544 12896 12958 13034 13328 13376 13702 13832 13888 14014 14144 14212 14756 14896 15092 15232 15314 15808 15827 16016 16492 16709 16796 16864 17017 17024 17248 17732 17836 18088 18304 18326 18848 19019 19096 19448 19712 19747 20026 20384 20482 20672 20944 21266 21658 21736 21824 21952 22568 23188 23296 23324 23408 23936 24206 24304 24752 24871 25792 25823 25916 26068 26656 26752 27404 27664 27776 28028 28288 28424 28861 29393 29512 29792 30184 30464 30628 31031 31616 31654 32032 32984 33418 33592 33728 34034 34048 34496 35464 35672 36176 36608 36652 37696 38038 38192 38896 39494 40052 40579 40768 40964 41344 41888 42532 43316 43472 43648 43904 45136 45353 46189 46376 46648 46816 47872 47957 48412 48608 49049 49504 49742 51584 51646 51832 52136 53312 53504 53599 54808 55328 55552 56056 56576 56848 57722 58786 59024 59584 60368 61256 62062 63232 63308 64064 64141 65968 66836 67184 67456 68068 68992 70091 70928 71344 71687 72352 73304 75361 75392 75803 76076 76384 77792 78988 80104 81158 81536 81928 82688 83776 84227 84721 85064 86632 86944 87296 87808 90272 90706 92378 92752 93296 93632 95914 96824 97216 98098 99008 99484 103168 103292 103664 104272 106624 107198 109616 110143 110656 110789 112112 113696 115444 116963 117572 118048 119119 119168 120736 122512 124124 126616 128128 128282 130169 131936 133133 133672 134368 134912 136136 137984 138229 140182 141856 142688 143374 144704 146608 150722 150784 151606 152152 152768 155584 157976 160208 162316 163072 163856 167552 168454 169442 170128 173264 173888 174097 180544 180761 181412 184756 185504 186592 187264 191828 193648 194432 196196 198016 198968 202027 205751 206584 207328 208544 213248 214396 217217 219232 220286 221312 221578 224224 227392 230888 233926 235144 236096 238238 238336 241472 245024 248248 253232 256256 256564 260338 263872 266266 267344 268736 272272 276458 280364 283712 284053 285376 286748 289408 293216 301444 303212 304304 305536 311168 315952 317471 320416 323323 324632 327712 335104 335699 336908 338884 340256 346528 347776 348194 361088 361522 362824 369512 371008 373184 374528 375193 383656 387296 388864 392392 396032 397936 404054 411502 413168 414656 417088 428792 434434 438464 440572 442624 443156 448448 454784 461776 467852 470288 472192 476476 482944 490048 490637 496496 506464 513128 520676 527527 527744 532532 534688 537472 544544 552916 560728 567424 568106 570752 573496 578816 586432 589589 602888 606424 608608 611072 622336 631904 634942 640832 646646 649264 655424 671398 673816 677768 680512 693056 695552 696388 722176 723044 725648 739024 742016 746368 750386 767312 771001 774592 784784 795872 808108 823004 826336 829312 833833 834176 857584 868868 876928 881144 886312 896896 909568 911183 923552 931931 935704 940576 944384 952952 965888 980096 981274 992992 1012928 1026256 1041352 1055054 1055488 1065064 1069376 1074944 1089088 1105832 1121456 1134848 1136212 1141504 1146992 1172864 1179178 1205776 1212848 1217216 1218679 1263808 1269884 1281664 1293292 1298528 1310848 1342796 1347632 1355536 1361024 1386112 1392776 1431859 1440257 1446088 1451296 1478048 1484032 1492736 1500772 1520519 1534624 1542002 1549184 1569568 1591744 1616216 1646008 1652672 1658624 1667666 1668352 1715168 1737736 1753856 1762288 1772624 1793792 1822366 1847104 1863862 1871408 1881152 1905904 1960192 1962548 1985984 1988371 2025856 2052512 2082704 2110108 2130128 2138752 2178176 2211664 2222297 2242912 2263261 2272424 2293984 2345728 2349893 2358356 2411552 2425696 2434432 2437358 2527616 2539768 2563328 2586584 2597056 2621696 2626351 2685592 2695264 2711072 2722048 2772224 2785552 2863718 2880514 2892176 2902592 2956096 3001544 3041038 3069248 3084004 3098368 3139136 3183488 3232432 3292016 3305344 3335332 3430336 3434459 3475472 3524576 3545248 3644732 3692689 3694208 3727724 3742816 3762304 3811808 3925096 3971968 3976742 4051712 4105024 4127123 4165408 4220216 4260256 4277504 4356352 4423328 4444594 4485824 4526522 4544848 4587968 4699786 4716712 4823104 4851392 4868864 4874716 5055232 5079536 5173168 5194112 5252702 5371184 5390528 5397007 5422144 5571104 5727436 5761028 5784352 5805184 5912192 6003088 6082076 6138496 6168008 6278272 6366976 6378281 6464864 6584032 6610688 6670664 6860672 6868918 6950944 7049152 7090496 7289464 7385378 7388416 7455448 7485632 7524608 7623616 7850192 7943936 7953484 8210048 8254246 8330816 8440432 8520512 8846656 8889188 8971648 9053044 9089696 9175936 9399572 9433424 9646208 9702784 9749432 10023013 10159072 10346336 10388224 10505404 10742368 10781056 10794014 10844288 11142208 11454872 11522056 11568704 11610368 11824384 12006176 12164152 12276992 12336016 12556544 12756562 12929728 13168064 13341328 13721344 13737836 13901888 14098304 14180992 14578928 14770756 14910896 14971264 15247232 15700384 15842827 15906968 16420096 16508492 16661632 16880864 17041024 17693312 17778376 17943296 18106088 18179392 18351872 18799144 18866848 19292416 19405568 19498864 20046026 20318144 20692672 21010808 21484736 21562112 21588028 21688576 22284416 22909744 23044112 23137408 24012352 24328304 24672032 25513124 25848823 25859456 26336128 26682656 27475672 27803776 28196608 28361984 28889861 29157856 29541512 29821792 29942528 30494464 31400768 31685654 31813936 33016984 33323264 33761728 34082048 35386624 35556752 36212176 36358784 37598288 37733696 37779049 38997728 40092052 40636288 41385344 42021616 42969472 43176056 44568832 44647967 45819488 46088224 46274816 48024704 48656608 49344064 51026248 51697646 51718912 52672256 53365312 54951344 55607552 57779722 58315712 59083024 59643584 62801536 63371308 63627872 66033968 67523456 70161091 71113504 72424352 72717568 75196576 75467392 75558098 77995456 80184104 81272576 82770688 84043232 85938944 86352112 89295934 91638976 92176448 96049408 97313216 98688128 102052496 103395292 106730624 109902688 115559444 116631424 118166048 119287168 125603072 126742616 127255744 132067936 135046912 140322182 142227008 144848704 150393152 150934784 151116196 155990912 160368208 168086464 172704224 178591868 183277952 184352896 194626432 197376256 204104992 206790584 213461248 219805376 231118888 233262848 236332096 238574336 253485232 254511488 264135872 280644364 284454016 289697408 300786304 302232392 311981824 320736416 336172928 345408448 357183736 366555904 368705792 389252864 408209984 413581168 439610752 462237776 472664192 491127637 506970464 509022976 528271744 561288728 568908032 579394816 601572608 604464784 641472832 672345856 690816896 714367472 816419968 827162336 879221504 924475552 945328384 982255274 1013940928 1056543488 1122577456 1208929568 1282945664 1381633792 1428734944 1632839936 1654324672 1848951104 1964510548 2027881856 2245154912 2417859136 2565891328 2857469888 3308649344 3697902208 3929021096 4055763712 4490309824 4835718272 5714939776 6617298688 7395804416 7858042192 8980619648 9671436544 11429879552 15716084384 17961239296 31432168768 62864337536 125728675072
- Sum of all divisors σ(n): 395587584000
- Sum of proper divisors (its aliquot sum) s(n): 269858908928
- 125728675072 is an abundant number, because the sum of its proper divisors (269858908928) is greater than itself. Its abundance is 144130233856
Bases of 125728675072
- Binary: 11101010001100000001101010101000000002
- Hexadecimal: 0x1D46035500
- Base-36: 1LRBLUKG
Squares and roots of 125728675072
- 125728675072 squared (1257286750722) is 15807699735360554205184
- 125728675072 cubed (1257286750723) is 1987481143662887508429422353973248
-
The
square root of 125728675072 is 354582.3953215951 -
The
cube root of 125728675072 is 5009.6968496909
Scales and comparisons
How big is 125728675072?- 125,728,675,072 seconds is equal to 3,997 years, 40 weeks, 4 days, 23 hours, 57 minutes, 52 seconds.
-
To count from 1 to 125,728,675,072 would take you about seven thousand, nine hundred ninety-five 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 125728675072 cubic inches would be around 417.5 feet tall.
Recreational maths with 125728675072
- 125728675072 backwards is 270576827521
- 125728675072 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 125728675072's digits is 52
- More coming soon!
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The information we have on file for 125728675072 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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