21742665649920
21,742,665,649,920 is an even composite number composed of six prime numbers multiplied together.
What does the number 21742665649920 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
21742665649920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 21742665649920:
28 × 33 × 5 × 193 × 372 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 19 × 19 × 19 × 37 × 37 × 67)See below for interesting mathematical facts about the number 21742665649920 from the Numbermatics database.
Names of 21742665649920
- Cardinal: 21742665649920 can be written as Twenty-one trillion, seven hundred forty-two billion, six hundred sixty-five million, six hundred forty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 2.174266564992 × 1013
Factors of 21742665649920
Divisors of 21742665649920
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 32 36 37 38 40 45 48 54 57 60 64 67 72 74 76 80 90 95 96 108 111 114 120 128 134 135 144 148 152 160 171 180 185 190 192 201 216 222 228 240 256 268 270 285 288 296 304 320 333 335 342 360 361 370 380 384 402 432 444 456 480 513 536 540 555 570 576 592 603 608 640 666 670 684 703 720 722 740 760 768 804 855 864 888 912 960 999 1005 1026 1072 1080 1083 1110 1140 1152 1184 1206 1216 1273 1280 1332 1340 1368 1369 1406 1440 1444 1480 1520 1608 1665 1710 1728 1776 1805 1809 1824 1920 1998 2010 2052 2109 2144 2160 2166 2220 2280 2304 2368 2412 2432 2479 2546 2565 2664 2680 2736 2738 2812 2880 2888 2960 3015 3040 3216 3249 3330 3420 3456 3515 3552 3610 3618 3648 3819 3840 3996 4020 4104 4107 4218 4288 4320 4332 4440 4560 4736 4824 4864 4958 4995 5092 5130 5328 5360 5415 5472 5476 5624 5760 5776 5920 6030 6080 6327 6365 6432 6498 6660 6840 6845 6859 6912 7030 7104 7220 7236 7296 7437 7638 7992 8040 8208 8214 8436 8576 8640 8664 8880 9045 9120 9472 9648 9747 9916 9990 10184 10260 10545 10656 10720 10830 10944 10952 11248 11457 11520 11552 11840 12060 12160 12321 12395 12654 12730 12864 12996 13320 13357 13680 13690 13718 14060 14208 14440 14472 14592 14874 15276 15984 16080 16245 16416 16428 16872 17152 17280 17328 17760 18090 18240 18981 19095 19296 19494 19832 19980 20368 20520 20535 20577 21090 21312 21440 21660 21888 21904 22311 22496 22914 23104 23680 24120 24187 24320 24642 24790 25308 25460 25728 25992 26011 26640 26714 27360 27380 27436 28120 28416 28880 28944 29748 30552 31635 31968 32160 32490 32832 32856 33744 34295 34371 34560 34656 35520 36180 36480 36963 37185 37962 38190 38592 38988 39664 39960 40071 40736 41040 41070 41154 42180 42624 42880 43320 43776 43808 44622 44992 45828 46208 47101 47360 48240 48374 48735 49284 49580 50616 50920 51456 51984 52022 53280 53428 54720 54760 54872 56240 57285 57760 57888 59496 61104 61605 61731 63270 63936 64320 64980 65664 65712 66785 66933 67488 68590 68742 69312 71040 72360 72561 72960 73926 74370 75924 76380 77184 77976 78033 79328 79920 80142 81472 82080 82140 82308 84360 85248 85760 86640 87616 89244 89984 91656 91723 92416 94202 94905 96480 96748 97470 98568 99160 101232 101840 102885 103968 104044 106560 106856 109440 109520 109744 111555 112480 114570 115520 115776 118992 120213 120935 122208 123210 123462 126540 127872 128640 129960 130055 131328 131424 133570 133866 134976 137180 137484 138624 141303 142080 144720 145122 147852 148740 151848 152760 154368 155952 156066 158656 159840 160284 162944 164160 164280 164616 168720 171855 173280 175232 178488 179968 183312 183446 184815 185193 188404 189810 192960 193496 194940 197136 198320 200355 202464 203680 205770 207936 208088 213120 213712 217683 218880 219040 219488 223110 224960 229140 231040 231552 234099 235505 237984 240426 241870 244416 246420 246924 253080 253783 255744 257280 259920 260110 262848 267140 267732 269952 274360 274968 275169 277248 282606 289440 290244 295704 297480 303696 305520 308655 311904 312132 317312 319680 320568 325888 328320 328560 329232 334665 337440 343710 346560 350464 356976 360639 362805 366624 366892 369630 370386 376808 379620 385920 386992 389880 390165 394272 396640 400710 404928 407360 411540 415872 416176 423909 426240 427424 435366 438080 438976 446220 449920 458280 458615 459553 462080 463104 468198 471010 475968 480852 483740 488832 492840 493848 494209 506160 507566 519840 520220 525696 534280 535464 539904 548720 549936 550338 565212 578880 580488 591408 594960 601065 607392 611040 617310 623808 624264 634624 639360 641136 653049 656640 657120 658464 669330 674880 687420 693120 702297 706515 713952 721278 725610 733248 733784 739260 740772 753616 759240 761349 771840 773984 779760 780330 788544 793280 801420 809856 814720 823080 825507 831744 832352 847818 854848 870732 876160 877952 892440 894919 899840 916560 917230 919106 925965 936396 942020 951936 961704 967480 977664 985680 987696 988418 1012320 1015132 1039680 1040440 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35760963240 36057488640 36727475760 37747683420 38145027456 39175974144 40264195648 40564674720 42383363840 45297220104 47681284320 48969967680 50330244560 54086232960 56621525130 57217541184 58763961216 60228990720 60396293472 63575045760 64903479552 65293290240 67945830156 71521926480 73454951520 75495366840 76290054912 80528391296 81129349440 84932287695 90594440208 95362568640 97939935360 100660489120 108172465920 113243050260 114435082368 117527922432 120792586944 127150091520 135891660312 143043852960 146909903040 150990733680 161056782592 162258698880 169864575390 181188880416 190725137280 195879870720 201320978240 226486100520 228870164736 241585173888 271783320624 286087705920 293819806080 301981467360 324517397760 339729150780 362377760832 381450274560 402641956480 452972201040 483170347776 543566641248 572175411840 587639612160 603962934720 679458301560 724755521664 805283912960 905944402080 1087133282496 1144350823680 1207925869440 1358916603120 1449511043328 1811888804160 2174266564992 2415851738880 2717833206240 3623777608320 4348533129984 5435666412480 7247555216640 10871332824960 21742665649920
- Sum of all divisors σ(n): 84952021593600
- Sum of proper divisors (its aliquot sum) s(n): 63209355943680
- 21742665649920 is an abundant number, because the sum of its proper divisors (63209355943680) is greater than itself. Its abundance is 41466690293760
Bases of 21742665649920
- Binary: 1001111000110010110111101110011001111000000002
- Hexadecimal: 0x13C65BDCCF00
- Base-36: 7PGFXQYO0
Squares and roots of 21742665649920
- 21742665649920 squared (217426656499202) is 472743509564211095996006400
- 21742665649920 cubed (217426656499203) is 10278704066624399585496084002780479488000
-
The
square root of 21742665649920 is 4662903.1353782163 -
The
cube root of 21742665649920 is 27910.7128817247
Scales and comparisons
How big is 21742665649920?- 21,742,665,649,920 seconds is equal to 691,349 years, 26 weeks, 4 days, 19 hours, 12 minutes.
-
To count from 1 to 21,742,665,649,920 would take you about one million, seven hundred twenty-eight thousand, three hundred seventy-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 21742665649920 cubic inches would be around 2325.9 feet tall.
Recreational maths with 21742665649920
- 21742665649920 backwards is 02994656624712
- The number of decimal digits it has is: 14
- The sum of 21742665649920's digits is 63
- More coming soon!
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"Number 21742665649920 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 21742665649920 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/21742665649920/
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The information we have on file for 21742665649920 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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