213147916800

Names of 213147916800

• Cardinal: 213147916800 can be written as Two hundred thirteen billion, one hundred forty-seven million, nine hundred sixteen thousand, eight hundred.

Scientific notation

• Scientific notation: 2.131479168 × 10¹¹

Factors of 213147916800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 548

Divisors of 213147916800

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 50 52 56 60 64 65 70 75 78 80 84 91 96 100 104 105 112 120 128 130 140 150 156 160 168 175 181 182 192 195 200 208 210 224 240 256 260 273 280 300 312 320 325 336 337 350 362 364 384 390 400 416 420 448 455 480 512 520 525 543 546 560 600 624 640 650 672 674 700 724 728 768 780 800 832 840 896 905 910 960 975 1011 1040 1050 1086 1092 1120 1200 1248 1267 1280 1300 1344 1348 1365 1400 1448 1456 1536 1560 1600 1664 1680 1685 1792 1810 1820 1920 1950 2022 2080 2100 2172 2184 2240 2275 2353 2359 2400 2496 2534 2560 2600 2688 2696 2715 2730 2800 2896 2912 3120 3200 3328 3360 3370 3584 3620 3640 3801 3840 3900 4044 4160 4200 4344 4368 4381 4480 4525 4550 4706 4718 4800 4992 5055 5068 5200 5376 5392 5430 5460 5600 5792 5824 6240 6335 6400 6656 6720 6740 6825 7059 7077 7240 7280 7602 7680 7800 8088 8320 8400 8425 8688 8736 8762 8960 9050 9100 9412 9436 9600 9984 10110 10136 10400 10752 10784 10860 10920 11200 11584 11648 11765 11795 12480 12670 12800 13143 13440 13480 13575 13650 14118 14154 14480 14560 15204 15600 16176 16471 16640 16800 16850 17376 17472 17524 17920 18100 18200 18824 18872 19005 19200 19968 20220 20272 20800 21568 21720 21840 21905 22400 23168 23296 23530 23590 24960 25275 25340 26286 26880 26960 27150 27300 28236 28308 28960 29120 30408 30667 31200 31675 32352 32942 33280 33600 33700 34752 34944 35048 35295 35385 36200 36400 37648 37744 38010 38400 40440 40544 41600 43136 43440 43680 43810 44800 46336 46592 47060 47180 49413 49920 50550 50680 52572 53760 53920 54300 54600 56472 56616 57920 58240 58825 58975 60816 60997 61334 62400 63350 64704 65715 65884 67200 67400 69504 69888 70096 70590 70770 72400 72800 75296 75488 76020 80880 81088 82355 83200 86272 86880 87360 87620 89600 92001 92672 94120 94360 95025 98826 99840 101100 101360 105144 107840 108600 109200 109525 112944 113232 115840 116480 117650 117950 121632 121994 122668 124800 126700 129408 131430 131768 134400 134800 139008 139776 140192 141180 141540 144800 145600 150592 150976 152040 153335 161760 162176 164710 166400 172544 173760 174720 175240 176475 176925 182991 184002 188240 188720 190050 197652 202200 202720 210288 215680 217200 218400 219050 225888 226464 231680 232960 235300 235900 243264 243988 245336 247065 249600 253400 258816 262860 263536 268800 269600 278016 280384 282360 283080 289600 291200 301184 301952 304080 304985 306670 323520 324352 328575 329420 347520 349440 350480 352950 353850 365982 368004 376480 377440 380100 395304 404400 405440 411775 420576 426979 431360 434400 436800 438100 451776 452928 460005 463360 470600 471800 486528 487976 490672 494130 499200 506800 517632 525720 527072 539200 560768 564720 566160 579200 582400 602368 603904 608160 609970 613340 647040 648704 657150 658840 695040 698880 700960 705900 707700 731964 736008 752960 754880 760200 766675 790608 792961 808800 810880 823550 841152 853958 862720 868800 873600 876200 903552 905856 914955 920010 941200 943600 973056 975952 981344 988260 1013600 1051440 1054144 1078400 1121536 1129440 1132320 1158400 1164800 1204736 1207808 1216320 1219940 1226680 1235325 1280937 1294080 1314300 1317680 1390080 1401920 1411800 1415400 1463928 1472016 1505920 1509760 1520400 1524925 1533350 1581216 1585922 1617600 1621760 1647100 1682304 1707916 1737600 1747200 1752400 1807104 1811712 1829910 1840020 1882400 1887200 1946112 1951904 1962688 1976520 2027200 2102880 2108288 2134895 2156800 2243072 2258880 2264640 2300025 2316800 2378883 2432640 2439880 2453360 2470650 2561874 2588160 2628600 2635360 2803840 2823600 2830800 2927856 2944032 3011840 3019520 3040800 3049850 3066700 3162432 3171844 3235200 3243520 3294200 3364608 3415832 3475200 3494400 3504800 3614208 3623424 3659820 3680040 3764800 3774400 3903808 3925376 3953040 3964805 4054400 4205760 4216576 4269790 4313600 4517760 4529280 4574775 4600050 4757766 4865280 4879760 4906720 4941300 5123748 5257200 5270720 5550727 5607680 5647200 5661600 5855712 5888064 6023680 6039040 6081600 6099700 6133400 6324864 6343688 6404685 6470400 6588400 6729216 6831664 6950400 7009600 7319640 7360080 7529600 7548800 7807616 7850752 7906080 7929610 8108800 8411520 8433152 8539580 9035520 9058560 9149550 9200100 9515532 9730560 9759520 9813440 9882600 10247496 10514400 10541440 10674475 11101454 11215360 11294400 11323200 11711424 11776128 11894415 12163200 12199400 12266800 12649728 12687376 12809370 12940800 13176800 13663328 14019200 14639280 14720160 15059200 15097600 15615232 15701504 15812160 15859220 16217600 16652181 16823040 17079160 18071040 18117120 18299100 18400200 19031064 19519040 19626880 19765200 19824025 20494992 21028800 21082880 21348950 22202908 22588800 22646400 23422848 23552256 23788830 24326400 24398800 24533600 25299456 25374752 25618740 26353600 27326656 27753635 28038400 29278560 29440320 30118400 30195200 31230464 31624320 31718440 32023425 33304362 33646080 34158320 36598200 36800400 38062128 39038080 39253760 39530400 39648050 40989984 42057600 42165760 42697900 44405816 45177600 45292800 46845696 47104512 47577660 48652800 48797600 49067200 50749504 51237480 52707200 54653312 55507270 56076800 58557120 58880640 59472075 63248640 63436880 64046850 66608724 68316640 73196400 73600800 76124256 78076160 78507520 79060800 79296100 81979968 83260905 84115200 85395800 88811632 90355200 90585600 93691392 95155320 97595200 98134400 101499008 102474960 105414400 109306624 111014540 117114240 117761280 118944150 126497280 126873760 128093700 133217448 136633280 138768175 146392800 147201600 152248512 156152320 158121600 158592200 163959936 166521810 168230400 170791600 177623264 190310640 195190400 196268800 202998016 204949920 210828800 218613248 222029080 234228480 235522560 237888300 253747520 256187400 266434896 273266560 277536350 292785600 294403200 304497024 316243200 317184400 327919872 333043620 341583200 355246528 380621280 390380800 392537600 405996032 409899840 416304525 444058160 468456960 475776600 507495040 512374800 532869792 546533120 555072700 585571200 588806400 608994048 632486400 634368800 655839744 666087240 683166400 710493056 761242560 780761600 819799680 832609050 888116320 951553200 1014990080 1024749600 1065739584 1093066240 1110145400 1171142400 1177612800 1217988096 1268737600 1332174480 1366332800 1420986112 1522485120 1639599360 1665218100 1776232640 1903106400 2029980160 2049499200 2131479168 2220290800 2342284800 2537475200 2664348960 2732665600 2841972224 3044970240 3279198720 3330436200 3552465280 3806212800 4098998400 4262958336 4440581600 5074950400 5328697920 5465331200 6089940480 6660872400 7104930560 7612425600 8197996800 8525916672 8881163200 10149900800 10657395840 13321744800 14209861120 15224851200 16395993600 17762326400 21314791680 26643489600 30449702400 35524652800 42629583360 53286979200 71049305600 106573958400 213147916800
• Sum of all divisors σ(n): 873983894784
• Sum of proper divisors (its aliquot sum) s(n): 660835977984
• 213147916800 is an abundant number, because the sum of its proper divisors (660835977984) is greater than itself. Its abundance is 447688061184

Bases of 213147916800

• Binary: 11000110100000100110110001101000000000₂
• Hexadecimal: 0x31A09B1A00
• Base-36: 2PX2RL6O

Squares and roots of 213147916800

• 213147916800 squared (213147916800²) is 45432034436179722240000
• 213147916800 cubed (213147916800³) is 9683743496057570345858629632000000
• The square root of 213147916800 is 461679.4524342619
• The cube root of 213147916800 is 5973.4747300359

Scales and comparisons

• 213,147,916,800 seconds is equal to 6,777 years, 23 weeks, 18 hours, 40 minutes.
• To count from 1 to 213,147,916,800 would take you about thirteen thousand, five hundred fifty-four 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 213147916800 cubic inches would be around 497.8 feet tall.

Recreational maths with 213147916800

• 213147916800 backwards is 008619741312
• 213147916800 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 213147916800's digits is 42
• More coming soon!