137973388224
137,973,388,224 is an even composite number composed of six prime numbers multiplied together.
137973388224 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 137973388224:
26 × 3 × 7 × 419 × 491 × 499
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 419 × 491 × 499)See below for interesting mathematical facts about the number 137973388224 from the Numbermatics database.
Names of 137973388224
- Cardinal: 137973388224 can be written as One hundred thirty-seven billion, nine hundred seventy-three million, three hundred eighty-eight thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 1.37973388224 × 1011
Factors of 137973388224
Divisors of 137973388224
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 419 448 491 499 672 838 982 998 1257 1344 1473 1497 1676 1964 1996 2514 2933 2946 2994 3352 3437 3493 3928 3992 5028 5866 5892 5988 6704 6874 6986 7856 7984 8799 10056 10311 10479 11732 11784 11976 13408 13748 13972 15712 15968 17598 20112 20622 20958 23464 23568 23952 26816 27496 27944 31424 31936 35196 40224 41244 41916 46928 47136 47904 54992 55888 70392 80448 82488 83832 93856 94272 95808 109984 111776 140784 164976 167664 187712 205729 209081 219968 223552 245009 281568 329952 335328 411458 418162 490018 563136 617187 627243 659904 670656 735027 822916 836324 980036 1234374 1254486 1440103 1463567 1470054 1645832 1672648 1715063 1960072 2468748 2508972 2880206 2927134 2940108 3291664 3345296 3430126 3920144 4320309 4390701 4937496 5017944 5145189 5760412 5854268 5880216 6583328 6690592 6860252 7840288 8640618 8781402 9874992 10035888 10290378 11520824 11708536 11760432 13166656 13381184 13720504 15680576 17281236 17562804 19749984 20071776 20580756 23041648 23417072 23520864 27441008 34562472 35125608 39499968 40143552 41161512 46083296 46834144 47041728 54882016 69124944 70251216 82323024 92166592 93668288 102658771 109764032 138249888 140502432 164646048 205317542 276499776 281004864 307976313 329292096 410635084 615952626 718611397 821270168 1231905252 1437222794 1642540336 2155834191 2463810504 2874445588 3285080672 4311668382 4927621008 5748891176 6570161344 8623336764 9855242016 11497782352 17246673528 19710484032 22995564704 34493347056 45991129408 68986694112 137973388224
- Sum of all divisors σ(n): 419892480000
- Sum of proper divisors (its aliquot sum) s(n): 281919091776
- 137973388224 is an abundant number, because the sum of its proper divisors (281919091776) is greater than itself. Its abundance is 143945703552
Bases of 137973388224
- Binary: 100000000111111101101011010011110000002
- Hexadecimal: 0x201FDAD3C0
- Base-36: 1RDTSJPC
Squares and roots of 137973388224
- 137973388224 squared (1379733882242) is 19036655858010621874176
- 137973388224 cubed (1379733882243) is 2626551909183983352161351728103424
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The
square root of 137973388224 is 371447.6924467295 -
The
cube root of 137973388224 is 5167.3170563127
Scales and comparisons
How big is 137973388224?- 137,973,388,224 seconds is equal to 4,387 years, 6 weeks, 4 days, 5 hours, 10 minutes, 24 seconds.
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To count from 1 to 137,973,388,224 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 137973388224 cubic inches would be around 430.6 feet tall.
Recreational maths with 137973388224
- 137973388224 backwards is 422883379731
- The number of decimal digits it has is: 12
- The sum of 137973388224's digits is 57
- More coming soon!
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