72713997017199648
72,713,997,017,199,648 is an even composite number composed of seven prime numbers multiplied together.
What does the number 72713997017199648 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
72713997017199648 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 72713997017199648:
25 × 35 × 112 × 67 × 131 × 457 × 19267
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 67 × 131 × 457 × 19267)See below for interesting mathematical facts about the number 72713997017199648 from the Numbermatics database.
Names of 72713997017199648
- Cardinal: 72713997017199648 can be written as Seventy-two quadrillion, seven hundred thirteen trillion, nine hundred ninety-seven billion, seventeen million, one hundred ninety-nine thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 7.2713997017199648 × 1016
Factors of 72713997017199648
Divisors of 72713997017199648
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 67 72 81 88 96 99 108 121 131 132 134 144 162 176 198 201 216 242 243 262 264 268 288 297 324 352 363 393 396 402 432 457 484 486 524 528 536 594 603 648 726 737 786 792 804 864 891 914 968 972 1048 1056 1072 1089 1179 1188 1206 1296 1371 1441 1452 1474 1572 1584 1608 1782 1809 1828 1936 1944 2096 2144 2178 2211 2358 2376 2412 2592 2673 2742 2882 2904 2948 3144 3168 3216 3267 3537 3564 3618 3656 3872 3888 4113 4192 4323 4356 4422 4716 4752 4824 5027 5346 5427 5484 5764 5808 5896 6288 6432 6534 6633 7074 7128 7236 7312 7776 8107 8226 8646 8712 8777 8844 9432 9504 9648 9801 10054 10611 10692 10854 10968 11528 11616 11792 12339 12576 12969 13068 13266 14148 14256 14472 14624 15081 15851 16214 16281 16452 17292 17424 17554 17688 18864 19267 19296 19602 19899 20108 21222 21384 21708 21936 23056 23584 24321 24678 25938 26136 26331 26532 28296 28512 28944 29403 30162 30619 31702 31833 32428 32562 32904 34584 34848 35108 35376 37017 37728 38534 38907 39204 39798 40216 42444 42768 43416 43872 45243 46112 47553 48642 49356 51876 52272 52662 53064 55297 56592 57801 57888 58806 59697 59867 60324 61238 63404 63666 64856 65124 65808 69168 70216 70752 72963 74034 77068 77814 78408 78993 79596 80432 84888 85536 86832 90486 91857 95106 96547 97284 98712 103752 104544 105324 106128 110594 111051 113184 115602 116721 117612 119394 119734 120648 122476 126808 127332 129712 130248 131616 135729 138336 140432 142659 145926 148068 154136 155628 156816 157986 159192 160864 165891 169776 173403 173664 179091 179601 180972 183714 190212 193094 194568 197424 207504 210648 211937 212256 218889 221188 222102 231204 233442 235224 236979 238788 239468 241296 244952 253616 254664 259424 260496 271458 275571 280864 285318 289641 291852 296136 308272 311256 313632 315972 318384 331782 336809 339552 346806 350163 358182 359202 361944 367428 380424 386188 389136 394848 407187 415008 421296 423874 427977 437778 442376 444204 462408 466884 470448 473958 477576 478936 482592 489904 497673 507232 509328 520209 520992 538803 542916 551142 570636 579282 583704 592272 616544 622512 631944 635811 636768 656667 658537 663564 673618 693612 700326 710937 716364 718404 723888 734856 760848 772376 778272 814374 826713 842592 847748 855954 868923 875556 884752 888408 924816 933768 940896 947916 955152 957872 979808 995346 1010427 1018656 1040418 1062017 1077606 1085832 1102284 1141272 1158564 1167408 1184544 1221561 1245024 1263888 1271622 1283931 1290889 1313334 1317074 1327128 1347236 1387224 1400652 1421874 1432728 1436808 1447776 1469712 1493019 1521696 1544752 1560627 1616409 1628748 1653426 1695496 1711908 1737846 1751112 1769504 1776816 1849632 1867536 1895832 1907433 1910304 1915744 1970001 1975611 1990692 2020854 2080836 2124034 2132811 2155212 2171664 2204568 2282544 2317128 2331307 2334816 2443122 2480139 2523977 2527776 2543244 2567862 2581778 2606769 2626668 2634148 2654256 2694472 2774448 2801304 2843748 2865456 2873616 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150673854969 151824037068 152256388548 153418651056 154563303526 155743176072 157250733156 163695052312 164371478148 166097878416 169901646624 171546254352 172595982438 175211073081 178576420704 184156933851 186860113218 188286526296 191139352452 197899988616 200898473292 202432049424 203008518064 207657568096 209667644208 214146867099 215890896672 219161970864 228384582822 230127976584 231844955289 233614764108 235876099734 245542578468 249146817624 251048701728 254852469936 258893973657 263866651488 267864631056 279136712338 280290169827 285529156132 286709028678 296849982924 301347709938 303648074136 304512777096 306837302112 309126607052 311486352144 314501466312 327390104624 328742956296 332195756832 342576874233 343092508704 345191964876 350422146162 368313867702 373720226436 376573052592 382278704904 395799977232 401796946584 404864098848 406017036128 418705068507 419335288416 428293734198 438323941728 452021564907 456769165644 460255953168 463689910578 467229528216 471752199468 491085156936 498293635248 509704939872 517787947314 525633219243 535729262112 552470801553 558273424676 560580339654 571058312264 573418057356 593699965848 602695419876 607296148272 609025554192 618253214104 622972704288 629002932624 642440601297 654780209248 657485912592 685153748466 690383929752 695534865867 700844292324 736627735404 747440452872 753146105184 764557409808 791599954464 803593893168 837410137014 850098169393 856587468396 904043129814 913538331288 920511906336 927379821156 934459056432 943504398936 982170313872 996587270496 1027730622699 1035575894628 1051266438486 1104941603106 1116546849352 1121160679308 1142116624528 1146836114712 1187399931696 1205390839752 1214592296544 1218051108384 1236506428208 1256115205521 1258005865248 1284881202594 1314971825184 1370307496932 1380767859504 1391069731734 1401688584648 1473255470808 1494880905744 1529114819616 1576899657729 1607187786336 1657412404659 1674820274028 1700196338786 1713174936792 1808086259628 1827076662576 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67830221098134 68857951720833 69383584940076 74808638906584 75117765513636 79555795423632 81609424261728 84159718769907 90440294797512 91810602294444 92511446586768 98662139779104 100157020684848 112212958359876 120587059730016 122414136392592 135660442196268 137715903441666 138767169880152 149617277813168 150235531027272 159111590847264 168319437539814 180880589595024 183621204588888 185022893173536 200314041369696 206573855162499 224425916719752 244828272785184 252479156309721 271320884392536 275431806883332 277534339760304 299234555626336 300471062054544 336638875079628 361761179190048 367242409177776 413147710324998 448851833439504 504958312619442 542641768785072 550863613766664 555068679520608 600942124109088 673277750159256 734484818355552 757437468929163 826295420649996 897703666879008 1009916625238884 1085283537570144 1101727227533328 1346555500318512 1514874937858326 1652590841299992 2019833250477768 2203454455066656 2272312406787489 2693111000637024 3029749875716652 3305181682599984 4039666500955536 4544624813574978 6059499751433304 6610363365199968 8079333001911072 9089249627149956 12118999502866608 18178499254299912 24237999005733216 36356998508599824 72713997017199648
- Sum of all divisors σ(n): 241589766259505664
- Sum of proper divisors (its aliquot sum) s(n): 168875769242306016
- 72713997017199648 is an abundant number, because the sum of its proper divisors (168875769242306016) is greater than itself. Its abundance is 96161772225106368
Bases of 72713997017199648
- Binary: 1000000100101010011111110101110100110100010110100001000002
- Hexadecimal: 0x10254FEBA68B420
- Base-36: JVYYL2S9U00
Squares and roots of 72713997017199648
- 72713997017199648 squared (727139970171996482) is 5287325362217319306441939891323904
- 72713997017199648 cubed (727139970171996483) is 384462560617234204488271689506312180052217402785792
-
The
square root of 72713997017199648 is 269655330.0366963783 -
The
cube root of 72713997017199648 is 417387.4046202845
Scales and comparisons
How big is 72713997017199648?- 72,713,997,017,199,648 seconds is equal to 2,312,080,185 years, 51 weeks, 2 days, 1 hour, 40 minutes, 48 seconds.
-
To count from 1 to 72,713,997,017,199,648 would take you about six billion, nine hundred thirty-six million, two hundred forty thousand, five hundred fifty-seven 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 72713997017199648 cubic inches would be around 34782.3 feet tall.
Recreational maths with 72713997017199648
- 72713997017199648 backwards is 84699171079931727
- The number of decimal digits it has is: 17
- The sum of 72713997017199648's digits is 90
- More coming soon!
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Cite this page
MLA style:
"Number 72713997017199648 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 72713997017199648 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/72713997017199648/
Chicago style:
Numbermatics. 2024. "Number 72713997017199648 - Facts about the integer". https://numbermatics.com/n/72713997017199648/
The information we have on file for 72713997017199648 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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