137104327013830171875
137,104,327,013,830,171,875 is an odd composite number composed of five prime numbers multiplied together.
What does the number 137104327013830171875 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1960 divisors.
137104327013830171875 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred sixty divisors.
Prime factorization of 137104327013830171875:
34 × 56 × 116 × 67 × 973
(3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 11 × 11 × 67 × 97 × 97 × 97)See below for interesting mathematical facts about the number 137104327013830171875 from the Numbermatics database.
Names of 137104327013830171875
- Cardinal: 137104327013830171875 can be written as One hundred thirty-seven quintillion, one hundred four quadrillion, three hundred twenty-seven trillion, thirteen billion, eight hundred thirty million, one hundred seventy-one thousand, eight hundred seventy-five.
Scientific notation
- Scientific notation: 1.37104327013830171875 × 1020
Factors of 137104327013830171875
Divisors of 137104327013830171875
- Number of divisors d(n): 1960
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Complete list of divisors:
1 3 5 9 11 15 25 27 33 45 55 67 75 81 97 99 121 125 135 165 201 225 275 291 297 335 363 375 405 485 495 603 605 625 675 737 825 873 891 1005 1067 1089 1125 1331 1375 1455 1485 1675 1809 1815 1875 2025 2211 2425 2475 2619 3015 3025 3125 3201 3267 3375 3685 3993 4125 4365 4455 5025 5335 5427 5445 5625 6499 6633 6655 6875 7275 7425 7857 8107 8375 9045 9075 9375 9409 9603 9801 10125 11055 11737 11979 12125 12375 13095 14641 15075 15125 15625 16005 16335 16875 18425 19497 19899 19965 20625 21825 22275 24321 25125 26675 27135 27225 28125 28227 28809 32495 33165 33275 34375 35211 35937 36375 37125 39285 40535 41875 43923 45225 45375 46875 47045 48015 49005 50625 55275 58491 58685 59697 59895 60625 61875 65475 71489 72963 73205 75375 75625 80025 81675 84375 84681 86427 89177 92125 97485 99495 99825 103125 103499 105633 107811 109125 111375 121605 125625 129107 131769 133375 135675 136125 140625 141135 144045 161051 162475 165825 166375 171875 175473 176055 179685 181875 185625 196425 202675 209375 214467 218889 219615 226125 226875 235225 240075 245025 253125 254043 267531 276375 292455 293425 298485 299475 303125 309375 310497 316899 327375 357445 364815 366025 376875 378125 387321 395307 400125 408375 421875 423405 432135 445885 460625 483153 487425 497475 499125 515625 517495 526419 528165 539055 545625 556875 608025 628125 630403 643401 645535 656667 658845 666875 678375 680625 705675 720225 762129 786379 802593 805255 812375 829125 831875 877365 880275 898425 909375 912673 928125 931491 950697 980947 982125 1013375 1046875 1072335 1094445 1098075 1130625 1134375 1138489 1161963 1176125 1185921 1200375 1225125 1265625 1270215 1337655 1381875 1420177 1449459 1462275 1467125 1492425 1497375 1515625 1546875 1552485 1584495 1636875 1771561 1787225 1824075 1830125 1884375 1890625 1891209 1930203 1936605 1976535 2000625 2041875 2117025 2160675 2229425 2303125 2359137 2407779 2415765 2437125 2487375 2495625 2587475 2632095 2640825 2695275 2728125 2738019 2784375 2794473 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1586359899265625 1619068350796875 1624940172015765 1678657202495625 1713268691206875 1812949778695275 1818962879122125 1872882002784375 1879093883390625 1917838087171875 2093995067030625 2215827507294225 2261514672393075 2289078003403125 2296670301921875 2336275488009375 2344024328765625 2480403926075625 2708233620026275 2797762004159375 2855447818678125 2914323031434375 2924892309628377 3021582964492125 3031604798536875 3121470004640625 3274133182419825 3382368990103125 3489991778384375 3693045845490375 3769191120655125 3815130005671875 3893792480015625 3988489513129605 4120340406125625 4134006543459375 4219243791778125 4759079697796875 4857205052390625 4874820516047295 5035971607486875 5052674664228125 5139806073620625 5456888637366375 5637281650171875 6155076409150625 6281985201091875 6647482521882675 6867234010209375 6890010905765625 7032072986296875 7441211778226875 8124700860078825 8393286012478125 8566343456034375 8774676928885131 9064748893476375 9094814395610625 9364410013921875 10469975335153125 11079137536471125 11307573361965375 11445390017015625 11681377440046875 12402019630378125 13541168100131375 13988810020796875 14277239093390625 14571615157171875 14624461548141885 15107914822460625 15158023992684375 16370665912099125 16911844950515625 17449958891921875 18465229227451875 18845955603275625 19942447565648025 20601702030628125 20670032717296875 21096218958890625 24374102580236475 25179858037434375 25263373321140625 25699030368103125 27284443186831875 30775382045753125 31409926005459375 33237412609413375 34336170051046875 37206058891134375 40623504300394125 41966430062390625 42831717280171875 43873384644425655 45323744467381875 45474071978053125 52349876675765625 55395687682355625 56537866809826875 62010098151890625 67705840500656875 73122307740709425 75539574112303125 75790119963421875 81853329560495625 92326146137259375 94229778016378125 99712237828240125 103008510153140625 121870512901182375 125899290187171875 128495151840515625 136422215934159375 153876910228765625 157049630027296875 166187063047066875 186030294455671875 203117521501970625 219366923222128275 226618722336909375 227370359890265625 276978438411778125 282689334049134375 338529202503284375 365611538703547125 377697870561515625 409266647802478125 461630730686296875 471148890081890625 498561189141200625 609352564505911875 682111079670796875 830935315235334375 1015587607509853125 1096834616110641375 1133093611684546875 1384892192058890625 1413446670245671875 1692646012516421875 1828057693517735625 2046333239012390625 2492805945706003125 3046762822529559375 4154676576176671875 5077938037549265625 5484173080553206875 9140288467588678125 12464029728530015625 15233814112647796875 27420865402766034375 45701442337943390625 137104327013830171875
- Sum of all divisors σ(n): 288790721648198388080
- Sum of proper divisors (its aliquot sum) s(n): 151686394634368216205
- 137104327013830171875 is an abundant number, because the sum of its proper divisors (151686394634368216205) is greater than itself. Its abundance is 14582067620538044330
Bases of 137104327013830171875
- Binary: 11101101110101101000110101100000010010111000101011100011100111000112
- Hexadecimal: 0x76EB46B025C571CE3
- Base-36: SXNK3PM7H8V6R
Squares and roots of 137104327013830171875
- 137104327013830171875 squared (1371043270138301718752) is 18797596485915281814623679904092041015625
- 137104327013830171875 cubed (1371043270138301718753) is 2577231815678953682446422755699271211022238552440643310546875
-
The
square root of 137104327013830171875 is 11709155691.7580599687 -
The
cube root of 137104327013830171875 is 5156444.9679833031
Scales and comparisons
How big is 137104327013830171875?- 137,104,327,013,830,171,875 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,104,327,013,830,171,875 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 137104327013830171875 cubic inches would be around 429703.7 feet tall.
Recreational maths with 137104327013830171875
- 137104327013830171875 backwards is 578171038310723401731
- The number of decimal digits it has is: 21
- The sum of 137104327013830171875's digits is 72
- More coming soon!
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"Number 137104327013830171875 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 137104327013830171875 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/137104327013830171875/
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Numbermatics. 2024. "Number 137104327013830171875 - Facts about the integer". https://numbermatics.com/n/137104327013830171875/
The information we have on file for 137104327013830171875 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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