137931221120
137,931,221,120 is an even composite number composed of five prime numbers multiplied together.
137931221120 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 137931221120:
27 × 5 × 73 × 11 × 2392
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 11 × 239 × 239)See below for interesting mathematical facts about the number 137931221120 from the Numbermatics database.
Names of 137931221120
- Cardinal: 137931221120 can be written as One hundred thirty-seven billion, nine hundred thirty-one million, two hundred twenty-one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3793122112 × 1011
Factors of 137931221120
Divisors of 137931221120
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 49 55 56 64 70 77 80 88 98 110 112 128 140 154 160 176 196 220 224 239 245 280 308 320 343 352 385 392 440 448 478 490 539 560 616 640 686 704 770 784 880 896 956 980 1078 1120 1195 1232 1372 1408 1540 1568 1673 1715 1760 1912 1960 2156 2240 2390 2464 2629 2695 2744 3080 3136 3346 3430 3520 3773 3824 3920 4312 4480 4780 4928 5258 5390 5488 6160 6272 6692 6860 7040 7546 7648 7840 8365 8624 9560 9856 10516 10780 10976 11711 12320 13145 13384 13720 15092 15296 15680 16730 17248 18403 18865 19120 21032 21560 21952 23422 24640 26290 26768 27440 30184 30592 31360 33460 34496 36806 37730 38240 42064 43120 43904 46844 49280 52580 53536 54880 57121 58555 60368 66920 68992 73612 75460 76480 81977 84128 86240 92015 93688 105160 107072 109760 114242 117110 120736 128821 133840 147224 150920 152960 163954 168256 172480 184030 187376 210320 214144 219520 228484 234220 241472 257642 267680 285605 294448 301840 327908 336512 344960 368060 374752 399847 409885 420640 456968 468440 482944 515284 535360 571210 588896 603680 628331 644105 655816 736120 749504 799694 819770 841280 901747 913936 936880 1030568 1070720 1142420 1177792 1207360 1256662 1288210 1311632 1472240 1499008 1599388 1639540 1682560 1803494 1827872 1873760 1999235 2061136 2284840 2355584 2414720 2513324 2576420 2623264 2798929 2944480 3141655 3198776 3279080 3606988 3655744 3747520 3998470 4122272 4398317 4508735 4569680 5026648 5152840 5246528 5597858 5888960 6283310 6397552 6558160 7213976 7311488 7495040 7996940 8244544 8796634 9017470 9139360 10053296 10305680 10493056 11195716 11777920 12566620 12795104 13116320 13994645 14427952 15993880 16489088 17593268 18034940 18278720 19592503 20106592 20611360 21991585 22391432 25133240 25590208 26232640 27989290 28855904 30788219 31987760 35186536 36069880 36557440 39185006 40213184 41222720 43983170 44782864 50266480 51180416 52465280 55978580 57711808 61576438 63975520 70373072 72139760 78370012 80426368 82445440 87966340 89565728 97962515 100532960 111957160 115423616 123152876 127951040 140746144 144279520 153941095 156740024 175932680 179131456 195925030 201065920 215517533 223914320 246305752 255902080 281492288 288559040 307882190 313480048 351865360 358262912 391850060 402131840 431035066 447828640 492611504 562984576 577118080 615764380 626960096 703730720 783700120 862070132 895657280 985223008 1077587665 1231528760 1253920192 1407461440 1567400240 1724140264 1791314560 1970446016 2155175330 2463057520 2507840384 2814922880 3134800480 3448280528 3940892032 4310350660 4926115040 6269600960 6896561056 8620701320 9852230080 12539201920 13793122112 17241402640 19704460160 27586244224 34482805280 68965610560 137931221120
- Sum of all divisors σ(n): 421259184000
- Sum of proper divisors (its aliquot sum) s(n): 283327962880
- 137931221120 is an abundant number, because the sum of its proper divisors (283327962880) is greater than itself. Its abundance is 145396741760
Bases of 137931221120
- Binary: 100000000111010101011101101000100000002
- Hexadecimal: 0x201D576880
- Base-36: 1RD4ORCW
Squares and roots of 137931221120
- 137931221120 squared (1379312211202) is 19025021759654334054400
- 137931221120 cubed (1379312211203) is 2624144483143693445223792508928000
-
The
square root of 137931221120 is 371390.9276220945 -
The
cube root of 137931221120 is 5166.7905948953
Scales and comparisons
How big is 137931221120?- 137,931,221,120 seconds is equal to 4,385 years, 40 weeks, 6 days, 4 hours, 5 minutes, 20 seconds.
-
To count from 1 to 137,931,221,120 would take you about eight thousand, seven hundred seventy-one 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 137931221120 cubic inches would be around 430.6 feet tall.
Recreational maths with 137931221120
- 137931221120 backwards is 021122139731
- 137931221120 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137931221120's digits is 32
- More coming soon!
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