137397663648
137,397,663,648 is an even composite number composed of six prime numbers multiplied together.
What does the number 137397663648 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 432 divisors.
137397663648 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 137397663648:
25 × 32 × 72 × 41 × 73 × 3253
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 41 × 73 × 3253)See below for interesting mathematical facts about the number 137397663648 from the Numbermatics database.
Names of 137397663648
- Cardinal: 137397663648 can be written as One hundred thirty-seven billion, three hundred ninety-seven million, six hundred sixty-three thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 1.37397663648 × 1011
Factors of 137397663648
Divisors of 137397663648
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 49 56 63 72 73 82 84 96 98 112 123 126 144 146 147 164 168 196 219 224 246 252 287 288 292 294 328 336 369 392 438 441 492 504 511 574 584 588 656 657 672 738 784 861 876 882 984 1008 1022 1148 1168 1176 1312 1314 1476 1533 1568 1722 1752 1764 1968 2009 2016 2044 2296 2336 2352 2583 2628 2952 2993 3066 3253 3444 3504 3528 3577 3936 4018 4088 4592 4599 4704 5166 5256 5904 5986 6027 6132 6506 6888 7008 7056 7154 8036 8176 8979 9184 9198 9759 10332 10512 10731 11808 11972 12054 12264 13012 13776 14112 14308 16072 16352 17958 18081 18396 19518 20664 20951 21024 21462 22771 23944 24108 24528 26024 26937 27552 28616 29277 32144 32193 35916 36162 36792 39036 41328 41902 42924 45542 47888 48216 49056 52048 53874 57232 58554 62853 64288 64386 68313 71832 72324 73584 78072 82656 83804 85848 91084 95776 96432 104096 107748 114464 117108 125706 128772 133373 136626 143664 144648 146657 147168 156144 159397 167608 171696 182168 188559 192864 204939 215496 234216 237469 251412 257544 266746 273252 287328 289296 293314 312288 318794 335216 343392 364336 377118 400119 409878 430992 439971 468432 474938 478191 502824 515088 533492 546504 578592 586628 637588 670432 712407 728672 754236 800238 819756 861984 879942 933611 936864 949876 956382 1005648 1030176 1066984 1093008 1173256 1200357 1275176 1319913 1424814 1434573 1508472 1600476 1639512 1662283 1759884 1867222 1899752 1912764 2011296 2133968 2137221 2186016 2346512 2400714 2550352 2639826 2800833 2849628 2869146 3016944 3200952 3279024 3324566 3519768 3734444 3799504 3825528 4267936 4274442 4693024 4801428 4986849 5100704 5279652 5601666 5699256 5738292 6033888 6401904 6535277 6558048 6649132 7039536 7468888 7599008 7651056 8402499 8548884 9602856 9736229 9973698 10559304 11203332 11398512 11476584 11635981 12803808 13070554 13298264 14079072 14937776 14960547 15302112 16804998 17097768 19205712 19472458 19605831 19947396 21118608 22406664 22797024 22953168 23271962 26141108 26596528 29208687 29875552 29921094 33609996 34195536 34907943 38411424 38944916 39211662 39894792 42237216 44813328 45906336 46543924 52282216 53193056 58417374 58817493 59842188 67219992 68153603 68391072 69815886 77889832 78423324 79789584 87626061 89626656 93087848 104564432 104723829 116834748 117634986 119684376 134439984 136307206 139631772 155779664 156846648 159579168 175252122 186175696 204460809 209128864 209447658 233669496 235269972 239368752 268879968 272614412 279263544 311559328 313693296 350504244 372351392 408921618 418895316 467338992 470539944 477075221 478737504 545228824 558527088 613382427 627386592 701008488 817843236 837790632 934677984 941079888 954150442 1090457648 1117054176 1226764854 1402016976 1431225663 1635686472 1675581264 1882159776 1908300884 2180915296 2453529708 2804033952 2862451326 3271372944 3351162528 3816601768 4293676989 4907059416 5724902652 6542745888 7633203536 8587353978 9814118832 11449805304 15266407072 17174707956 19628237664 22899610608 34349415912 45799221216 68698831824 137397663648
- Sum of all divisors σ(n): 472125346056
- Sum of proper divisors (its aliquot sum) s(n): 334727682408
- 137397663648 is an abundant number, because the sum of its proper divisors (334727682408) is greater than itself. Its abundance is 197330018760
Bases of 137397663648
- Binary: 11111111111011000100111110111101000002
- Hexadecimal: 0x1FFD89F7A0
- Base-36: 1R4B0RS0
Squares and roots of 137397663648
- 137397663648 squared (1373976636482) is 18878117975928940667904
- 137397663648 cubed (1373976636483) is 2593809303963947150237622261153792
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The
square root of 137397663648 is 370671.9083610195 -
The
cube root of 137397663648 is 5160.1197772809
Scales and comparisons
How big is 137397663648?- 137,397,663,648 seconds is equal to 4,368 years, 42 weeks, 4 days, 17 hours, 40 minutes, 48 seconds.
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To count from 1 to 137,397,663,648 would take you about eight thousand, seven hundred thirty-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 137397663648 cubic inches would be around 430 feet tall.
Recreational maths with 137397663648
- 137397663648 backwards is 846366793731
- 137397663648 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137397663648's digits is 63
- More coming soon!
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