137984105952
137,984,105,952 is an even composite number composed of seven prime numbers multiplied together.
137984105952 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 137984105952:
25 × 32 × 7 × 112 × 31 × 71 × 257
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 11 × 31 × 71 × 257)See below for interesting mathematical facts about the number 137984105952 from the Numbermatics database.
Names of 137984105952
- Cardinal: 137984105952 can be written as One hundred thirty-seven billion, nine hundred eighty-four million, one hundred five thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 1.37984105952 × 1011
Factors of 137984105952
Divisors of 137984105952
- Number of divisors d(n): 864
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 31 32 33 36 42 44 48 56 62 63 66 71 72 77 84 88 93 96 99 112 121 124 126 132 142 144 154 168 176 186 198 213 217 224 231 242 248 252 257 264 279 284 288 308 336 341 352 363 372 396 426 434 462 484 496 497 504 514 528 558 568 616 639 651 672 682 693 726 744 771 781 792 847 852 868 924 968 992 994 1008 1023 1028 1056 1089 1116 1136 1232 1278 1302 1364 1386 1452 1488 1491 1542 1562 1584 1694 1704 1736 1799 1848 1936 1953 1988 2016 2046 2056 2178 2201 2232 2272 2313 2343 2387 2464 2541 2556 2604 2728 2772 2827 2904 2976 2982 3069 3084 3124 3168 3388 3408 3472 3598 3696 3751 3872 3906 3976 4092 4112 4356 4402 4464 4473 4626 4686 4774 5082 5112 5208 5397 5456 5467 5544 5654 5808 5964 6138 6168 6248 6603 6776 6816 6944 7029 7161 7196 7392 7502 7623 7812 7952 7967 8184 8224 8481 8591 8712 8804 8928 8946 9252 9372 9548 10164 10224 10416 10794 10912 10934 11088 11253 11308 11616 11928 12276 12336 12496 13206 13552 14058 14322 14392 15004 15246 15407 15624 15904 15934 16191 16368 16401 16962 17182 17424 17608 17892 18247 18504 18744 19096 19789 19809 20328 20448 20832 21483 21588 21868 22176 22506 22616 23856 23901 24211 24552 24672 24992 25443 25773 26257 26412 27104 28116 28644 28784 30008 30492 30814 31097 31248 31868 32382 32736 32802 33759 33924 34364 34848 35216 35784 36494 37008 37488 38192 39578 39618 40656 42966 43176 43736 45012 45232 46221 47712 47802 48422 49104 49203 50886 51546 52514 52824 54741 55769 56232 57288 57568 59367 60016 60137 60984 61628 62194 62496 63736 64764 65604 67518 67848 68728 70432 71568 71703 72633 72988 74016 74976 76384 77319 78771 79156 79236 81312 85932 86352 87472 87637 90024 90464 92442 93291 95604 96844 98208 98406 101772 103092 105028 105648 109482 111538 112464 114576 118734 120032 120274 121968 123256 124388 127472 127729 129528 131208 135036 135696 137456 138663 143136 143406 145266 145976 154638 157542 158312 158472 164223 167307 169477 171864 172704 174944 175274 178101 180048 180411 184884 186582 191208 193688 196812 200717 203544 206184 210056 211296 217679 217899 218964 223076 224928 229152 236313 237468 240548 243936 246512 248776 254944 255458 259056 262416 262911 266321 270072 271392 274912 277326 279873 286812 290532 291952 309276 315084 316624 316944 328446 334614 338954 343728 350548 356202 360096 360822 369768 373164 382416 383187 387376 393624 401434 407088 412368 420112 435358 435798 437928 446152 472626 474936 481096 493024 497552 501921 508431 510916 518112 524832 525822 532642 540144 541233 554652 559746 565657 573624 581064 583904 602151 613459 618552 630168 633248 633888 653037 656892 669228 677908 687456 701096 712404 721644 739536 746328 764832 766374 774752 787248 788733 798963 802868 814176 824736 840224 870716 871596 875856 892304 945252 949872 962192 964007 995104 1003842 1016862 1021832 1051644 1065284 1080288 1082466 1109304 1119492 1131314 1147248 1149561 1162128 1204302 1226918 1237104 1260336 1306074 1313784 1338456 1355816 1402192 1405019 1424808 1443288 1479072 1492656 1525293 1532748 1574496 1577466 1597926 1605736 1696971 1741432 1743192 1751712 1784608 1806453 1840377 1864247 1890504 1899744 1924384 1928014 1959111 2007684 2033724 2043664 2103288 2130568 2164932 2207887 2218608 2238984 2262628 2294496 2299122 2324256 2396889 2408604 2453836 2474208 2520672 2612148 2627568 2676912 2711632 2804384 2810038 2849616 2886576 2892021 2985312 3050586 3065496 3154932 3195852 3211472 3393942 3482864 3486384 3612906 3680754 3728494 3781008 3856028 3918222 3959599 4015368 4067448 4087328 4206576 4215057 4261136 4329864 4415774 4437216 4477968 4525256 4598244 4793778 4817208 4907672 5090913 5224296 5255136 5353824 5423264 5521131 5592741 5620076 5699232 5773152 5784042 6101172 6130992 6222227 6309864 6391704 6422944 6623661 6748049 6787884 6965728 6972768 7225812 7361508 7456988 7562016 7712056 7836444 7919198 8030736 8134896 8413152 8430114 8522272 8659728 8676063 8831548 8955936 9050512 9196488 9587556 9634416 9815344 10181826 10448592 11042262 11185482 11240152 11568084 11878797 12202344 12261984 12444454 12619728 12645171 12783408 13247322 13496098 13575768 14451624 14723016 14913976 15424112 15455209 15672888 15838396 16061472 16269792 16778223 16860228 17319456 17352126 17663096 18101024 18392976 18666681 19175112 19268832 19630688 19870983 20244147 20363652 20897184 22084524 22370964 22480304 23136168 23757594 24404688 24888908 25239456 25290342 25566816 26494644 26992196 27151536 28903248 29446032 29827952 30848224 30910418 31345776 31676792 33556446 33720456 34704252 35326192 35636391 36785952 37333362 38350224 39741966 40488294 40727304 43555589 44169048 44741928 44960608 46272336 46365627 47515188 48809376 49777816 50580684 52989288 53984392 54303072 56000043 57806496 58892064 59655904 60732441 61820836 62691552 63353584 67112892 67440912 68444497 69408504 70652384 71272782 74666724 76700448 79483932 80976588 81454608 87111178 88338096 89483856 92544672 92731254 95030376 99555632 101161368 105978576 107968784 112000086 121464882 123641672 126707168 130666767 134225784 134881824 136888994 138817008 139096881 142545564 149333448 158967864 161953176 162909216 174222356 176676192 178967712 185462508 190060752 199111264 202322736 205333491 211957152 215937568 224000172 242929764 247283344 261333534 268451568 273777988 277634016 278193762 285091128 298666896 317935728 323906352 348444712 370925016 380121504 392000301 404645472 410666982 448000344 479111479 485859528 494566688 522667068 536903136 547555976 556387524 570182256 597333792 616000473 635871456 647812704 696889424 741850032 784000602 821333964 896000688 958222958 971719056 1045334136 1095111952 1112775048 1140364512 1232000946 1393778848 1437334437 1483700064 1568001204 1642667928 1792001376 1916445916 1943438112 2090668272 2190223904 2225550096 2464001892 2874668874 3136002408 3285335856 3832891832 4181336544 4312003311 4451100192 4928003784 5749337748 6272004816 6570671712 7665783664 8624006622 9856007568 11498675496 12544009632 15331567328 17248013244 19712015136 22997350992 34496026488 45994701984 68992052976 137984105952
- Sum of all divisors σ(n): 517997555712
- Sum of proper divisors (its aliquot sum) s(n): 380013449760
- 137984105952 is an abundant number, because the sum of its proper divisors (380013449760) is greater than itself. Its abundance is 242029343808
Bases of 137984105952
- Binary: 100000001000000111111001011101111000002
- Hexadecimal: 0x20207E5DE0
- Base-36: 1RE069K0
Squares and roots of 137984105952
- 137984105952 squared (1379841059522) is 19039613495372761826304
- 137984105952 cubed (1379841059523) is 2627164045830644229575592156561408
-
The
square root of 137984105952 is 371462.1191346433 -
The
cube root of 137984105952 is 5167.4508513521
Scales and comparisons
How big is 137984105952?- 137,984,105,952 seconds is equal to 4,387 years, 24 weeks, 2 days, 6 hours, 19 minutes, 12 seconds.
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To count from 1 to 137,984,105,952 would take you about eight thousand, seven hundred seventy-four 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 137984105952 cubic inches would be around 430.6 feet tall.
Recreational maths with 137984105952
- 137984105952 backwards is 259501489731
- The number of decimal digits it has is: 12
- The sum of 137984105952's digits is 54
- More coming soon!
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