137321134213120
137,321,134,213,120 is an even composite number composed of eight prime numbers multiplied together.
137321134213120 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 137321134213120:
211 × 5 × 112 × 13 × 19 × 37 × 67 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 11 × 13 × 19 × 37 × 67 × 181)See below for interesting mathematical facts about the number 137321134213120 from the Numbermatics database.
Names of 137321134213120
- Cardinal: 137321134213120 can be written as One hundred thirty-seven trillion, three hundred twenty-one billion, one hundred thirty-four million, two hundred thirteen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3732113421312 × 1014
Factors of 137321134213120
Divisors of 137321134213120
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 19 20 22 26 32 37 38 40 44 52 55 64 65 67 74 76 80 88 95 104 110 121 128 130 134 143 148 152 160 176 181 185 190 208 209 220 242 247 256 260 268 286 296 304 320 335 352 362 370 380 407 416 418 440 481 484 494 512 520 536 572 592 605 608 640 670 703 704 715 724 737 740 760 814 832 836 871 880 905 962 968 988 1024 1040 1045 1072 1144 1184 1210 1216 1235 1273 1280 1340 1406 1408 1430 1448 1474 1480 1520 1573 1628 1664 1672 1742 1760 1810 1924 1936 1976 1991 2035 2048 2080 2090 2144 2288 2299 2353 2368 2405 2420 2432 2470 2479 2546 2560 2680 2717 2812 2816 2860 2896 2948 2960 3040 3146 3256 3328 3344 3439 3484 3515 3520 3620 3685 3848 3872 3952 3982 4070 4160 4180 4288 4355 4477 4576 4598 4706 4736 4810 4840 4864 4940 4958 5092 5120 5291 5360 5434 5624 5632 5720 5792 5896 5920 6080 6292 6365 6512 6656 6688 6697 6878 6968 7030 7040 7240 7370 7696 7733 7744 7865 7904 7964 8107 8140 8320 8360 8576 8710 8954 9139 9152 9196 9412 9472 9581 9620 9680 9728 9880 9916 9955 10184 10240 10582 10720 10868 11248 11264 11440 11495 11584 11765 11792 11840 12127 12160 12395 12584 12730 13024 13312 13376 13394 13585 13756 13936 14003 14060 14080 14480 14740 15392 15466 15488 15730 15808 15928 16214 16280 16549 16640 16720 17152 17195 17420 17908 18278 18304 18392 18824 18944 19162 19240 19360 19456 19760 19832 19910 20368 21164 21440 21736 21901 22385 22496 22528 22880 22990 23168 23530 23584 23680 24254 24320 24790 25168 25460 25883 26048 26455 26624 26752 26788 27170 27269 27512 27872 28006 28120 28160 28960 29480 29887 30784 30932 30976 31460 31616 31856 32227 32428 32560 33098 33280 33440 33485 34304 34390 34840 35816 36556 36608 36784 37648 37829 37888 38324 38480 38665 38720 38912 39520 39664 39820 40535 40736 42328 42880 43472 43802 44707 44770 44992 45695 45760 45980 46336 47060 47101 47168 47360 47905 48508 48640 49580 50336 50920 51766 52096 52910 53504 53576 54340 54538 55024 55744 56012 56240 56320 57920 58201 58960 59774 60635 61568 61864 61952 62920 63232 63712 64454 64856 65120 66196 66560 66880 66970 68608 68780 69680 70015 71632 73112 73216 73568 73667 75296 75658 75776 76648 76960 77330 77440 79040 79328 79640 81070 81472 82745 84656 85063 85760 86944 87061 87604 89414 89540 89984 91390 91520 91960 92672 94120 94202 94336 94720 95810 97016 97280 99160 100529 100672 101840 103532 104192 105391 105820 107008 107152 108680 109076 109505 110048 111488 112024 112480 112640 115840 116402 117920 119548 121270 123136 123728 123904 125840 126464 127243 127424 128908 129415 129712 130240 132392 133120 133397 133760 133940 136345 137216 137560 139360 140030 143264 146224 146432 147136 147334 149435 150592 151316 153296 153920 154033 154660 154880 157651 158080 158656 159280 161135 162140 162944 165490 169312 170126 171520 173888 174122 175208 178828 179080 179968 182039 182780 183040 183920 185344 188240 188404 188672 189145 189440 191620 194032 194560 198320 201058 201344 203680 207064 208384 210782 211640 214016 214304 217360 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379340149760 390116858560 409913833472 429128544416 451714257280 463922750720 480143825920 512392291840 528158208512 536410680520 555956008960 567442703360 624186973696 657038919680 660197760640 722742811648 742276401152 758680299520 780233717120 858257088832 903428514560 927845501440 960287651840 1024784583680 1056316417024 1072821361040 1134885406720 1248373947392 1320395521280 1445485623296 1560467434240 1716514177664 1806857029120 1855691002880 2049569167360 2112632834048 2145642722080 2496747894784 2640791042560 3120934868480 3433028355328 3613714058240 3711382005760 4291285444160 5281582085120 6241869736960 6866056710656 7227428116480 8582570888320 10563164170240 12483739473920 13732113421312 17165141776640 27464226842624 34330283553280 68660567106560 137321134213120
- Sum of all divisors σ(n): 430307312198400
- Sum of proper divisors (its aliquot sum) s(n): 292986177985280
- 137321134213120 is an abundant number, because the sum of its proper divisors (292986177985280) is greater than itself. Its abundance is 155665043772160
Bases of 137321134213120
- Binary: 111110011100100100100010110110011001000000000002
- Hexadecimal: 0x7CE4916CC800
- Base-36: 1COCGHS7WG
Squares and roots of 137321134213120
- 137321134213120 squared (1373211342131202) is 18857093901577716201580134400
- 137321134213120 cubed (1373211342131203) is 2589477522527960230235399524561167843328000
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The
square root of 137321134213120 is 11718410.0548291107 -
The
cube root of 137321134213120 is 51591.6155042897
Scales and comparisons
How big is 137321134213120?- 137,321,134,213,120 seconds is equal to 4,366,387 years, 15 weeks, 6 days, 7 hours, 38 minutes, 40 seconds.
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To count from 1 to 137,321,134,213,120 would take you about ten million, nine hundred fifteen thousand, nine hundred sixty-eight 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 137321134213120 cubic inches would be around 4299.3 feet tall.
Recreational maths with 137321134213120
- 137321134213120 backwards is 021312431123731
- The number of decimal digits it has is: 15
- The sum of 137321134213120's digits is 34
- More coming soon!
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The information we have on file for 137321134213120 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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