137519770304
137,519,770,304 is an even composite number composed of six prime numbers multiplied together.
What does the number 137519770304 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 224 divisors.
137519770304 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 137519770304:
26 × 7 × 23 × 61 × 331 × 661
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 23 × 61 × 331 × 661)See below for interesting mathematical facts about the number 137519770304 from the Numbermatics database.
Names of 137519770304
- Cardinal: 137519770304 can be written as One hundred thirty-seven billion, five hundred nineteen million, seven hundred seventy thousand, three hundred four.
Scientific notation
- Scientific notation: 1.37519770304 × 1011
Factors of 137519770304
Divisors of 137519770304
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 4 7 8 14 16 23 28 32 46 56 61 64 92 112 122 161 184 224 244 322 331 368 427 448 488 644 661 662 736 854 976 1288 1322 1324 1403 1472 1708 1952 2317 2576 2644 2648 2806 3416 3904 4627 4634 5152 5288 5296 5612 6832 7613 9254 9268 9821 10304 10576 10592 11224 13664 15203 15226 18508 18536 19642 20191 21152 21184 22448 27328 30406 30452 37016 37072 39284 40321 40382 42304 44896 53291 60812 60904 74032 74144 78568 80642 80764 89792 106421 106582 121624 121808 141337 148064 148288 157136 161284 161528 212842 213164 218791 243248 243616 282247 282674 296128 314272 322568 323056 425684 426328 437582 464393 486496 487232 564494 565348 628544 645136 646112 851368 852656 875164 927383 928786 972992 1128988 1130696 1290272 1292224 1531537 1702736 1705312 1750328 1854766 1857572 2257976 2261392 2580544 3063074 3250751 3405472 3410624 3500656 3709532 3715144 4515952 4522784 5032193 6126148 6491681 6501502 6810944 7001312 7419064 7430288 9031904 9045568 10064386 12252296 12983362 13003004 13346251 14002624 14838128 14860576 18063808 20128772 24504592 25966724 26006008 26692502 29676256 29721152 35225351 40257544 49009184 51933448 52012016 53385004 59352512 70450702 80515088 93423757 98018368 103866896 104024032 106770008 140901404 161030176 186847514 207733792 208048064 213540016 281802808 306963773 322060352 373695028 415467584 427080032 563605616 613927546 747390056 854160064 1127211232 1227855092 1494780112 2148746411 2254422464 2455710184 2989560224 4297492822 4911420368 5979120448 8594985644 9822840736 17189971288 19645681472 34379942576 68759885152 137519770304
- Sum of all divisors σ(n): 332271209472
- Sum of proper divisors (its aliquot sum) s(n): 194751439168
- 137519770304 is an abundant number, because the sum of its proper divisors (194751439168) is greater than itself. Its abundance is 57231668864
Bases of 137519770304
- Binary: 100000000001001101000100101010110000002
- Hexadecimal: 0x2004D12AC0
- Base-36: 1R6BPXVK
Squares and roots of 137519770304
- 137519770304 squared (1375197703042) is 18911687224464920252416
- 137519770304 cubed (1375197703043) is 2600730883169507122417926021054464
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The
square root of 137519770304 is 370836.5816690689 -
The
cube root of 137519770304 is 5161.6479410835
Scales and comparisons
How big is 137519770304?- 137,519,770,304 seconds is equal to 4,372 years, 36 weeks, 4 days, 11 minutes, 44 seconds.
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To count from 1 to 137,519,770,304 would take you about eight thousand, seven hundred forty-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 137519770304 cubic inches would be around 430.1 feet tall.
Recreational maths with 137519770304
- 137519770304 backwards is 403077915731
- The number of decimal digits it has is: 12
- The sum of 137519770304's digits is 47
- More coming soon!
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