137327468960
137,327,468,960 is an even composite number composed of five prime numbers multiplied together.
137327468960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 137327468960:
25 × 5 × 113 × 233 × 53
(2 × 2 × 2 × 2 × 2 × 5 × 11 × 11 × 11 × 23 × 23 × 23 × 53)See below for interesting mathematical facts about the number 137327468960 from the Numbermatics database.
Names of 137327468960
- Cardinal: 137327468960 can be written as One hundred thirty-seven billion, three hundred twenty-seven million, four hundred sixty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3732746896 × 1011
Factors of 137327468960
Divisors of 137327468960
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 53 55 80 88 92 106 110 115 121 160 176 184 212 220 230 242 253 265 352 368 424 440 460 484 506 529 530 583 605 736 848 880 920 968 1012 1058 1060 1166 1210 1219 1265 1331 1696 1760 1840 1936 2024 2116 2120 2332 2420 2438 2530 2645 2662 2783 2915 3680 3872 4048 4232 4240 4664 4840 4876 5060 5290 5324 5566 5819 5830 6095 6413 6655 8096 8464 8480 9328 9680 9752 10120 10580 10648 11132 11638 11660 12167 12190 12826 13310 13409 13915 16928 18656 19360 19504 20240 21160 21296 22264 23276 23320 24334 24380 25652 26620 26818 27830 28037 29095 30613 32065 39008 40480 42320 42592 44528 46552 46640 48668 48760 51304 53240 53636 55660 56074 58190 60835 61226 64009 64130 67045 70543 84640 89056 93104 93280 97336 97520 102608 106480 107272 111320 112148 116380 121670 122452 128018 128260 133837 134090 140185 141086 147499 153065 186208 194672 195040 205216 212960 214544 222640 224296 232760 243340 244904 256036 256520 267674 268180 280370 282172 294998 306130 308407 320045 352715 389344 429088 445280 448592 465520 486680 489808 512072 513040 535348 536360 560740 564344 589996 612260 616814 640090 644851 669185 704099 705430 737495 897184 931040 973360 979616 1024144 1026080 1070696 1072720 1121480 1128688 1179992 1224520 1233628 1280180 1289702 1338370 1408198 1410860 1472207 1474990 1542035 1622489 1946720 2048288 2141392 2145440 2242960 2257376 2359984 2449040 2467256 2560360 2579404 2676740 2816396 2821720 2944414 2949980 3084070 3224255 3244978 3392477 3520495 4282784 4485920 4719968 4898080 4934512 5120720 5158808 5353480 5632792 5643440 5888828 5899960 6168140 6448510 6489956 6784954 7040990 7093361 7361035 8112445 9869024 10241440 10317616 10706960 11265584 11286880 11777656 11799920 12336280 12897020 12979912 13569908 14081980 14186722 14722070 16194277 16224890 16962385 20635232 21413920 22531168 23555312 23599840 24672560 25794040 25959824 27139816 28163960 28373444 29444140 32388554 32449780 33924770 35466805 37317247 47110624 49345120 51588080 51919648 54279632 56327920 56746888 58888280 64777108 64899560 67849540 70933610 74634494 78026971 80971385 103176160 108559264 112655840 113493776 117776560 129554216 129799120 135699080 141867220 149268988 156053942 161942770 186586235 226987552 235553120 259108432 259598240 271398160 283734440 298537976 312107884 323885540 373172470 390134855 518216864 542796320 567468880 597075952 624215768 647771080 746344940 780269710 858296681 1134937760 1194151904 1248431536 1295542160 1492689880 1560539420 1716593362 2496863072 2591084320 2985379760 3121078840 3433186724 4291483405 5970759520 6242157680 6866373448 8582966810 12484315360 13732746896 17165933620 27465493792 34331867240 68663734480 137327468960
- Sum of all divisors σ(n): 380113896960
- Sum of proper divisors (its aliquot sum) s(n): 242786428000
- 137327468960 is an abundant number, because the sum of its proper divisors (242786428000) is greater than itself. Its abundance is 105458959040
Bases of 137327468960
- Binary: 11111111110010101101011100001101000002
- Hexadecimal: 0x1FF95AE1A0
- Base-36: 1R35897K
Squares and roots of 137327468960
- 137327468960 squared (1373274689602) is 18858833730959763481600
- 137327468960 cubed (1373274689603) is 2589835903810177910528365531136000
-
The
square root of 137327468960 is 370577.2105243387 -
The
cube root of 137327468960 is 5159.2408814565
Scales and comparisons
How big is 137327468960?- 137,327,468,960 seconds is equal to 4,366 years, 30 weeks, 4 days, 7 hours, 9 minutes, 20 seconds.
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To count from 1 to 137,327,468,960 would take you about eight thousand, seven hundred thirty-three 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 137327468960 cubic inches would be around 429.9 feet tall.
Recreational maths with 137327468960
- 137327468960 backwards is 069864723731
- The number of decimal digits it has is: 12
- The sum of 137327468960's digits is 56
- More coming soon!
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