137393440338
137,393,440,338 is an even composite number composed of seven prime numbers multiplied together.
137393440338 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 137393440338:
2 × 3 × 73 × 112 × 19 × 71 × 409
(2 × 3 × 7 × 7 × 7 × 11 × 11 × 19 × 71 × 409)See below for interesting mathematical facts about the number 137393440338 from the Numbermatics database.
Names of 137393440338
- Cardinal: 137393440338 can be written as One hundred thirty-seven billion, three hundred ninety-three million, four hundred forty thousand, three hundred thirty-eight.
Scientific notation
- Scientific notation: 1.37393440338 × 1011
Factors of 137393440338
Divisors of 137393440338
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 6 7 11 14 19 21 22 33 38 42 49 57 66 71 77 98 114 121 133 142 147 154 209 213 231 242 266 294 343 363 399 409 418 426 462 497 539 627 686 726 781 798 818 847 931 994 1029 1078 1227 1254 1349 1463 1491 1562 1617 1694 1862 2058 2299 2343 2454 2541 2698 2793 2863 2926 2982 3234 3479 3773 4047 4389 4499 4598 4686 5082 5467 5586 5726 5929 6517 6897 6958 7546 7771 8094 8589 8591 8778 8998 9443 10241 10437 10934 11319 11858 13034 13497 13794 14839 15542 16093 16401 17178 17182 17787 18886 19551 20041 20482 20874 22638 23313 24353 25773 26994 28329 29039 29678 30723 31493 32186 32802 35574 38269 39102 40082 41503 44517 46626 48279 48706 49489 51546 54397 56658 58078 60123 60137 61446 62986 66101 71687 73059 76538 83006 85481 87117 89034 94479 96558 98978 103873 108794 112651 114807 120246 120274 124509 132202 140287 143374 146118 148467 163191 163229 170962 174234 180411 188958 198303 203273 207746 215061 220451 225302 229614 249018 256443 267883 280574 296934 311619 319429 326382 326458 337953 346423 360822 380779 396606 406546 420861 420959 430122 440902 462707 489687 512886 535766 551741 598367 609819 623238 638858 661353 675906 692846 727111 761558 788557 803649 841722 841918 925414 940291 958287 979374 1039269 1103482 1142337 1142603 1196734 1219638 1262877 1322706 1388121 1422911 1454222 1543157 1577114 1607298 1655223 1795101 1880582 1916574 2078538 2181333 2236003 2284674 2285206 2365671 2424961 2525754 2665453 2776242 2820873 2845822 2946713 3086314 3310446 3427809 3513719 3590202 3862187 4188569 4268733 4362666 4472006 4629471 4731342 4849922 5089777 5330906 5641746 5893426 6069151 6582037 6708009 6855618 7027438 7274883 7724374 7996359 7998221 8377138 8537466 8840139 9258942 9960377 10179554 10541157 11586561 12138302 12565707 13164074 13416018 14549766 15269331 15652021 15992718 15996442 16974727 17680278 18207453 19746111 19920754 21082314 23173122 23994663 24596033 25131414 27035309 29319983 29881131 30538662 31304042 33949454 36414906 39492222 42484057 46074259 46956063 47989326 49192066 50924181 54070618 55987547 58639966 59762262 66760661 73788099 81105927 84968114 87959949 92148518 93912126 101848362 109564147 111975094 127452171 133521322 138222777 147576198 162211854 167962641 172172231 175919898 189247163 200281983 219128294 254904342 276445554 297388399 322519813 328692441 335925282 344344462 378494326 400563966 467324627 516516693 567741489 594776798 645039626 657384882 892165197 934649254 967559439 1033033386 1135482978 1205205617 1401973881 1784330394 1935118878 2081718793 2410411234 2803947762 3271272389 3615616851 4163437586 6245156379 6542544778 7231233702 9813817167 12490312758 19627634334 22898906723 45797813446 68696720169 137393440338
- Sum of all divisors σ(n): 376911360000
- Sum of proper divisors (its aliquot sum) s(n): 239517919662
- 137393440338 is an abundant number, because the sum of its proper divisors (239517919662) is greater than itself. Its abundance is 102124479324
Bases of 137393440338
- Binary: 11111111111010100100110000110010100102
- Hexadecimal: 0x1FFD498652
- Base-36: 1R48I91U
Squares and roots of 137393440338
- 137393440338 squared (1373934403382) is 18876957447911565554244
- 137393440338 cubed (1373934403383) is 2593570126882602424677198916694472
-
The
square root of 137393440338 is 370666.2114868309 -
The
cube root of 137393440338 is 5160.0669063947
Scales and comparisons
How big is 137393440338?- 137,393,440,338 seconds is equal to 4,368 years, 35 weeks, 4 days, 20 hours, 32 minutes, 18 seconds.
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To count from 1 to 137,393,440,338 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 137393440338 cubic inches would be around 430 feet tall.
Recreational maths with 137393440338
- 137393440338 backwards is 833044393731
- The number of decimal digits it has is: 12
- The sum of 137393440338's digits is 48
- More coming soon!
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