137893257216000
137,893,257,216,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137893257216000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 4896 divisors.
137893257216000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, eight hundred ninety-six divisors.
Prime factorization of 137893257216000:
216 × 32 × 53 × 112 × 13 × 29 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 13 × 29 × 41)See below for interesting mathematical facts about the number 137893257216000 from the Numbermatics database.
Names of 137893257216000
- Cardinal: 137893257216000 can be written as One hundred thirty-seven trillion, eight hundred ninety-three billion, two hundred fifty-seven million, two hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.37893257216 × 1014
Factors of 137893257216000
Divisors of 137893257216000
- Number of divisors d(n): 4896
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 29 30 32 33 36 39 40 41 44 45 48 50 52 55 58 60 64 65 66 72 75 78 80 82 87 88 90 96 99 100 104 110 116 117 120 121 123 125 128 130 132 143 144 145 150 156 160 164 165 174 176 180 192 195 198 200 205 208 220 225 232 234 240 242 246 250 256 260 261 264 275 286 288 290 300 312 319 320 325 328 330 348 352 360 363 369 375 377 384 390 396 400 410 416 429 435 440 450 451 464 468 480 484 492 495 500 512 520 522 528 533 550 572 576 580 585 600 605 615 624 638 640 650 656 660 696 704 715 720 725 726 738 750 754 768 780 792 800 820 825 832 858 870 880 900 902 928 936 957 960 968 975 984 990 1000 1024 1025 1040 1044 1056 1066 1089 1100 1125 1131 1144 1152 1160 1170 1189 1200 1210 1230 1248 1276 1280 1287 1300 1305 1312 1320 1353 1375 1392 1408 1430 1440 1450 1452 1476 1500 1508 1536 1560 1573 1584 1595 1599 1600 1625 1640 1650 1664 1716 1740 1760 1800 1804 1815 1845 1856 1872 1885 1914 1920 1936 1950 1968 1980 2000 2048 2050 2080 2088 2112 2132 2145 2175 2178 2200 2250 2255 2262 2288 2304 2320 2340 2378 2400 2420 2460 2475 2496 2552 2560 2574 2600 2610 2624 2640 2665 2706 2750 2784 2816 2860 2871 2880 2900 2904 2925 2952 3000 3016 3025 3072 3075 3120 3146 3168 3190 3198 3200 3250 3280 3300 3328 3393 3432 3480 3509 3520 3567 3575 3600 3608 3625 3630 3690 3712 3744 3770 3828 3840 3872 3900 3936 3960 4000 4059 4096 4100 4125 4147 4160 4176 4224 4264 4290 4350 4356 4400 4500 4510 4524 4576 4608 4640 4680 4719 4756 4785 4797 4800 4840 4875 4920 4950 4961 4992 5104 5120 5125 5148 5200 5220 5248 5280 5330 5412 5445 5500 5568 5632 5655 5720 5742 5760 5800 5808 5850 5863 5904 5945 6000 6032 6050 6144 6150 6240 6292 6336 6380 6396 6400 6435 6500 6525 6560 6600 6656 6765 6786 6864 6960 7018 7040 7134 7150 7200 7216 7250 7260 7380 7424 7488 7540 7656 7680 7744 7800 7865 7872 7920 7975 7995 8000 8118 8192 8200 8250 8294 8320 8352 8448 8528 8580 8700 8712 8800 9000 9020 9048 9075 9152 9216 9225 9280 9360 9425 9438 9512 9570 9594 9600 9680 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766073651200 783484416000 792489984000 835716710400 840812544000 861832857600 883931136000 919288381440 950987980800 957592064000 964288512000 1044645888000 1060717363200 1077291072000 1103146057728 1121083392000 1139613696000 1149110476800 1178574848000 1188734976000 1253575065600 1325896704000 1378932572160 1392861184000 1436388096000 1532147302400 1566968832000 1584979968000 1681625088000 1723665715200 1767862272000 1838576762880 1915184128000 2089291776000 2121434726400 2154582144000 2298220953600 2377469952000 2507150131200 2651793408000 2757865144320 2872776192000 3064294604800 3133937664000 3363250176000 3447331430400 3535724544000 3830368256000 4178583552000 4309164288000 4596441907200 4754939904000 5303586816000 5515730288640 5745552384000 6267875328000 6894662860800 7660736512000 8618328576000 9192883814400 10607173632000 11491104768000 12535750656000 13789325721600 15321473024000 17236657152000 22982209536000 27578651443200 34473314304000 45964419072000 68946628608000 137893257216000
- Sum of all divisors σ(n): 623626821286560
- Sum of proper divisors (its aliquot sum) s(n): 485733564070560
- 137893257216000 is an abundant number, because the sum of its proper divisors (485733564070560) is greater than itself. Its abundance is 347840306854560
Bases of 137893257216000
- Binary: 111110101101001110001101001110100000000000000002
- Hexadecimal: 0x7D69C69D0000
- Base-36: 1CVNAD1Q80
Squares and roots of 137893257216000
- 137893257216000 squared (1378932572160002) is 19014550385637936070656000000
- 137893257216000 cubed (1378932572160003) is 2621978287173363910838332157853696000000000
-
The
square root of 137893257216000 is 11742795.9709772697 -
The
cube root of 137893257216000 is 51663.1651914611
Scales and comparisons
How big is 137893257216000?- 137,893,257,216,000 seconds is equal to 4,384,579 years, 2 weeks, 3 days, 8 hours.
-
To count from 1 to 137,893,257,216,000 would take you about ten million, nine hundred sixty-one thousand, four hundred forty-seven 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 137893257216000 cubic inches would be around 4305.3 feet tall.
Recreational maths with 137893257216000
- 137893257216000 backwards is 000612752398731
- The number of decimal digits it has is: 15
- The sum of 137893257216000's digits is 54
- More coming soon!
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The information we have on file for 137893257216000 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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