137361466760312398464
137,361,466,760,312,398,464 is an even composite number composed of five prime numbers multiplied together.
137361466760312398464 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 137361466760312398464:
27 × 32 × 7 × 161267 × 105625528153
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 161267 × 105625528153)See below for interesting mathematical facts about the number 137361466760312398464 from the Numbermatics database.
Names of 137361466760312398464
- Cardinal: 137361466760312398464 can be written as One hundred thirty-seven quintillion, three hundred sixty-one quadrillion, four hundred sixty-six trillion, seven hundred sixty billion, three hundred twelve million, three hundred ninety-eight thousand, four hundred sixty-four.
Scientific notation
- Scientific notation: 1.37361466760312398464 × 1020
Factors of 137361466760312398464
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 105625689432
Divisors of 137361466760312398464
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 161267 322534 483801 645068 967602 1128869 1290136 1451403 1935204 2257738 2580272 2902806 3386607 3870408 4515476 5160544 5805612 6773214 7740816 9030952 10159821 10321088 11611224 13546428 15481632 18061904 20319642 20642176 23222448 27092856 30963264 36123808 40639284 46444896 54185712 61926528 72247616 81278568 92889792 108371424 144495232 162557136 185779584 216742848 325114272 433485696 650228544 1300457088 105625528153 211251056306 316876584459 422502112612 633753168918 739378697071 845004225224 950629753377 1267506337836 1478757394142 1690008450448 1901259506754 2218136091213 2535012675672 2957514788284 3380016900896 3802519013508 4436272182426 5070025351344 5915029576568 6654408273639 6760033801792 7605038027016 8872544364852 10140050702688 11830059153136 13308816547278 13520067603584 15210076054032 17745088729704 20280101405376 23660118306272 26617633094556 30420152108064 35490177459408 40560202810752 47320236612544 53235266189112 60840304216128 70980354918816 94640473225088 106470532378224 121680608432256 141960709837632 212941064756448 283921419675264 425882129512896 851764259025792 17033912048649851 34067824097299702 51101736145949553 68135648194599404 102203472291899106 119237384340548957 136271296389198808 153305208437848659 204406944583798212 238474768681097914 272542592778397616 306610416875697318 357712153021646871 408813889167596424 476949537362195828 545085185556795232 613220833751394636 715424306043293742 817627778335192848 953899074724391656 1073136459064940613 1090170371113590464 1226441667502789272 1430848612086587484 1635255556670385696 1907798149448783312 2146272918129881226 2180340742227180928 2452883335005578544 2861697224173174968 3270511113340771392 3815596298897566624 4292545836259762452 4905766670011157088 5723394448346349936 6541022226681542784 7631192597795133248 8585091672519524904 9811533340022314176 11446788896692699872 15262385195590266496 17170183345039049808 19623066680044628352 22893577793385399744 34340366690078099616 45787155586770799488 68680733380156199232 137361466760312398464
- Sum of all divisors σ(n): 451742148723477493440
- Sum of proper divisors (its aliquot sum) s(n): 314380681963165094976
- 137361466760312398464 is an abundant number, because the sum of its proper divisors (314380681963165094976) is greater than itself. Its abundance is 177019215202852696512
Bases of 137361466760312398464
- Binary: 11101110010010001011111011000111111000010110000110000100010100000002
- Hexadecimal: 0x77245F63F0B0C2280
- Base-36: SZLW056YL95S0
Squares and roots of 137361466760312398464
- 137361466760312398464 squared (1373614667603123984642) is 18868172550544407920057319706080309559296
- 137361466760312398464 cubed (1373614667603123984643) is 2591759856629444496538111293499458752887884173167928587321344
-
The
square root of 137361466760312398464 is 11720130833.7540497981 -
The
cube root of 137361466760312398464 is 5159666.5995590315
Scales and comparisons
How big is 137361466760312398464?- 137,361,466,760,312,398,464 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,361,466,760,312,398,464 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 137361466760312398464 cubic inches would be around 429972.2 feet tall.
Recreational maths with 137361466760312398464
- 137361466760312398464 backwards is 464893213067664163731
- The number of decimal digits it has is: 21
- The sum of 137361466760312398464's digits is 90
- More coming soon!
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