72146941825728
72,146,941,825,728 is an even composite number composed of six prime numbers multiplied together.
72146941825728 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred thirty-four divisors.
Prime factorization of 72146941825728:
26 × 3 × 72 × 112 × 192 × 4192
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 11 × 19 × 19 × 419 × 419)See below for interesting mathematical facts about the number 72146941825728 from the Numbermatics database.
Names of 72146941825728
- Cardinal: 72146941825728 can be written as Seventy-two trillion, one hundred forty-six billion, nine hundred forty-one million, eight hundred twenty-five thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 7.2146941825728 × 1013
Factors of 72146941825728
Divisors of 72146941825728
- Number of divisors d(n): 1134
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 32 33 38 42 44 48 49 56 57 64 66 76 77 84 88 96 98 112 114 121 132 133 147 152 154 168 176 192 196 209 224 228 231 242 264 266 294 304 308 336 352 361 363 392 399 418 419 448 456 462 484 528 532 539 588 608 616 627 672 704 722 726 784 798 836 838 847 912 924 931 968 1056 1064 1078 1083 1176 1216 1232 1254 1257 1344 1444 1452 1463 1568 1596 1617 1672 1676 1694 1824 1848 1862 1936 2112 2128 2156 2166 2299 2352 2464 2508 2514 2527 2541 2793 2888 2904 2926 2933 3136 3192 3234 3344 3352 3388 3648 3696 3724 3872 3971 4256 4312 4332 4389 4598 4609 4704 4928 5016 5028 5054 5082 5586 5776 5808 5852 5866 5929 6384 6468 6688 6704 6776 6897 7392 7448 7581 7744 7942 7961 8512 8624 8664 8778 8799 9196 9218 9408 10032 10056 10108 10164 10241 11172 11552 11616 11704 11732 11858 11913 12768 12936 13376 13408 13552 13794 13827 14784 14896 15162 15884 15922 16093 17248 17328 17556 17598 17689 17787 18392 18436 20064 20112 20216 20328 20482 20531 22344 23104 23232 23408 23464 23716 23826 23883 25536 25872 26816 27104 27588 27654 27797 29792 30324 30723 31768 31844 32186 32263 34496 34656 35112 35196 35378 35574 36784 36872 40128 40224 40432 40656 40964 41062 43681 44688 46816 46928 47432 47652 47766 48279 50699 51744 53067 54208 55176 55308 55594 55727 59584 60648 61446 61593 63536 63688 64372 64526 69312 70224 70392 70756 71148 73568 73744 80448 80864 81312 81928 82124 83391 87362 87571 89376 93632 93856 94864 95304 95532 96558 96789 101398 103488 106134 110352 110616 111188 111454 112651 121296 122892 123186 127072 127376 128744 129052 131043 140448 140784 141512 142296 147136 147488 151259 152097 161728 162624 163856 164248 166782 167181 174724 175142 175561 178752 187712 189728 190608 191064 193116 193578 194579 202796 212268 220704 221232 222376 222908 225302 225841 242592 245784 246372 254144 254752 257488 258104 262086 262713 280896 281568 283024 284592 294976 302518 304194 305767 327712 328496 333564 334362 337953 349448 350284 351122 354893 379456 381216 382128 386232 387156 389158 390089 405592 424536 441408 442464 444752 445816 450604 451682 453777 485184 491568 492744 509504 514976 516208 524172 525426 526683 563136 566048 569184 583737 605036 608388 611534 612997 655424 656992 667128 668724 675906 677523 698896 700568 702244 709786 762432 764256 772464 774312 778316 780178 811184 849072 884928 889504 891632 901208 903364 907554 917301 963281 983136 985488 1029952 1032416 1048344 1050852 1053366 1058813 1064679 1132096 1138368 1167474 1170267 1210072 1216776 1223068 1225994 1228927 1313984 1334256 1337448 1351812 1355046 1397792 1401136 1404488 1419572 1528512 1544928 1548624 1556632 1560356 1622368 1663849 1698144 1779008 1783264 1802416 1806728 1815108 1834602 1838991 1926562 1931171 1966272 1970976 2064832 2096688 2101704 2106732 2117626 2129358 2140369 2334948 2340534 2420144 2433552 2446136 2451988 2457854 2484251 2668512 2674896 2703624 2710092 2795584 2802272 2808976 2839144 2889843 3089856 3097248 3113264 3120712 3176439 3244736 3327698 3335659 3396288 3566528 3604832 3613456 3630216 3669204 3677982 3686781 3853124 3862342 3941952 4193376 4203408 4213464 4235252 4258716 4280738 4290979 4669896 4681068 4840288 4867104 4892272 4903976 4915708 4968502 4991547 5337024 5349792 5407248 5420184 5604544 5617952 5678288 5779686 5793513 6194496 6226528 6241424 6352878 6421107 6655396 6671318 6742967 7209664 7226912 7260432 7338408 7355964 7373562 7411691 7452753 7706248 7724684 8386752 8406816 8426928 8470504 8517432 8561476 8581958 8602489 9339792 9362136 9680576 9734208 9784544 9807952 9831416 9937004 9983094 10006977 10699584 10814496 10840368 11235904 11356576 11559372 11587026 11646943 12453056 12482848 12705756 12842214 12872937 13310792 13342636 13485934 13518197 14453824 14520864 14676816 14711928 14747124 14823382 14905506 15412496 15449368 16813632 16853856 16941008 17034864 17122952 17163916 17204978 18302339 18679584 18724272 19569088 19615904 19662832 19874008 19966188 20013954 20228901 21242881 21628992 21680736 22235073 22713152 23118744 23174052 23293886 23349613 24965696 25411512 25684428 25745874 25807467 26621584 26685272 26971868 27036394 29041728 29353632 29423856 29494248 29646764 29811012 30824992 30898736 33707712 33882016 34069728 34245904 34327832 34409956 34940829 36604678 36692249 37359168 37448544 39231808 39325664 39748016 39932376 40027908 40457802 40554591 42485762 43361472 44470146 46237488 46348104 46587772 46699226 47200769 50823024 51368856 51491748 51614934 53243168 53370544 53943736 54072788 54907017 58707264 58847712 58988496 59293528 59622024 61649984 61797472 63377521 63728643 67764032 68139456 68491808 68655664 68819912 69881658 70048839 73209356 73384498 74897088 78651328 79496032 79864752 80055816 80915604 81109182 81528601 84971524 88940292 92474976 92696208 93175544 93398452 94401538 94627379 101646048 102737712 102983496 103229868 106486336 106741088 107887472 108145576 109814034 110076747 117695424 117976992 118587056 119244048 123594944 126755042 127457286 128116373 136983616 137311328 137639824 139763316 140097678 141602307 146418712 146768996 148700167 158992064 159729504 160111632 161831208 162218364 163057202 163447291 169943048 177880584 184949952 185392416 186351088 186796904 188803076 189254758 190132563 203292096 205475424 205966992 206459736 213482176 215774944 216291152 219628068 220153494 235953984 237174112 238488096 244585803 253510084 254914572 256232746 256845743 274622656 275279648 279526632 280195356 283204614 283882137 292837424 293537992 297400334 319459008 320223264 323662416 324436728 326114404 326894582 339886096 355761168 370784832 372702176 373593808 377606152 378509516 380265126 384349119 403614739 410950848 411933984 412919472 431549888 432582304 439256136 440306988 443642647 446100501 474348224 476976192 489171606 490341873 507020168 509829144 512465492 513691486 550559296 559053264 560390712 566409228 567764274 585674848 587075984 594800668 640446528 647324832 648873456 652228808 653789164 679772192 697152731 711522336 745404352 747187616 755212304 757019032 760530252 768698238 770537229 807229478 823867968 825838944 865164608 878512272 880613976 887285294 892201002 896814611 978343212 980683746 1014040336 1019658288 1024930984 1027382972 1040901169 1118106528 1120781424 1132818456 1135528548 1171349696 1174151968 1189601336 1210844217 1294649664 1297746912 1304457616 1307578328 1330927941 1359544384 1394305462 1423044672 1494375232 1510424608 1514038064 1521060504 1537396476 1541074458 1614458956 1651677888 1757024544 1761227952 1774570588 1784402004 1793629222 1797920201 1956686424 1961367492 2028080672 2039316576 2049861968 2054765944 2081802338 2091458193 2236213056 2241562848 2265636912 2271057096 2348303936 2379202672 2421688434 2595493824 2608915232 2615156656 2661855882 2690443833 2788610924 2825303173 3020849216 3028076128 3042121008 3074792952 3082148916 3105498529 3122703507 3228917912 3514049088 3522455904 3549141176 3568804008 3587258444 3595840402 3913372848 3922734984 4056161344 4078633152 4099723936 4109531888 4163604676 4182916386 4483125696 4531273824 4542114192 4758405344 4843376868 4880069117 5217830464 5230313312 5323711764 5380887666 5393760603 5577221848 5650606346 6056152256 6084242016 6149585904 6164297832 6210997058 6245407014 6457835824 7044911808 7098282352 7137608016 7174516888 7191680804 7668680041 7826745696 7845469968 8199447872 8219063776 8327209352 8365832772 8475909519 9062547648 9084228384 9316495587 9516810688 9686753736 9760138234 10460626624 10647423528 10761775332 10787521206 11154443696 11301212692 12168484032 12299171808 12328595664 12421994116 12490814028 12915671648 14196564704 14275216032 14349033776 14383361608 14640207351 15337360082 15653491392 15690939936 16438127552 16654418704 16731665544 16951819038 18168456768 18632991174 19373507472 19520276468 19777122211 21294847056 21523550664 21575042412 22308887392 22602425384 23006040123 24598343616 24657191328 24843988232 24981628056 25831343296 28393129408 28550432064 28698067552 28766723216 29280414702 30674720164 31381879872 33308837408 33463331088 33903638076 34160483819 37265982348 38747014944 39040552936 39554244422 42589694112 43047101328 43150084824 44617774784 45204850768 46012080246 49314382656 49687976464 49963256112 53680760287 57396135104 57533446432 58560829404 59331366633 61349440328 66617674816 66926662176 67807276152 68320967638 74531964696 77494029888 78081105872 79108488844 85179388224 86094202656 86300169648 90409701536 92024160492 99375952928 99926512224 102481451457 107361520574 115066892864 117121658808 118662733266 122698880656 133853324352 135614552304 136641935276 149063929392 156162211744 158216977688 161042280861 172188405312 172600339296 180819403072 184048320984 198751905856 199853024448 204962902914 214723041148 234243317616 237325466532 245397761312 271229104608 273283870552 298127858784 312324423488 316433955376 322084561722 345200678592 368096641968 375765322009 409925805828 429446082296 468486635232 474650933064 490795522624 542458209216 546567741104 596255717568 632867910752 644169123444 736193283936 751530644018 819851611656 858892164592 936973270464 949301866128 1093135482208 1127295966027 1265735821504 1288338246888 1472386567872 1503061288036 1639703223312 1717784329184 1898603732256 2186270964416 2254591932054 2576676493776 3006122576072 3279406446624 3435568658368 3797207464512 4509183864108 5153352987552 6012245152144 6558812893248 9018367728216 10306705975104 12024490304288 18036735456432 24048980608576 36073470912864 72146941825728
- Sum of all divisors σ(n): 258214701827628
- Sum of proper divisors (its aliquot sum) s(n): 186067760001900
- 72146941825728 is an abundant number, because the sum of its proper divisors (186067760001900) is greater than itself. Its abundance is 113920818176172
Bases of 72146941825728
- Binary: 100000110011110000001001101011011010010110000002
- Hexadecimal: 0x419E04D6D2C0
- Base-36: PKNUIDTXC
Squares and roots of 72146941825728
- 72146941825728 squared (721469418257282) is 5205181214804980277922729984
- 72146941825728 cubed (721469418257283) is 375537906296907112755941557643158928228352
-
The
square root of 72146941825728 is 8493935.5910983927 -
The
cube root of 72146941825728 is 41629.9582776751
Scales and comparisons
How big is 72146941825728?- 72,146,941,825,728 seconds is equal to 2,294,049 years, 30 weeks, 2 days, 21 hours, 48 minutes, 48 seconds.
-
To count from 1 to 72,146,941,825,728 would take you about five million, seven hundred thirty-five thousand, one hundred twenty-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 72146941825728 cubic inches would be around 3469.2 feet tall.
Recreational maths with 72146941825728
- 72146941825728 backwards is 82752814964127
- 72146941825728 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 72146941825728's digits is 66
- More coming soon!
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The information we have on file for 72146941825728 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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