232948472427648
232,948,472,427,648 is an even composite number composed of five prime numbers multiplied together.
What does the number 232948472427648 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 960 divisors.
232948472427648 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 232948472427648:
27 × 34 × 23 × 473 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 23 × 47 × 47 × 47 × 97 × 97)See below for interesting mathematical facts about the number 232948472427648 from the Numbermatics database.
Names of 232948472427648
- Cardinal: 232948472427648 can be written as Two hundred thirty-two trillion, nine hundred forty-eight billion, four hundred seventy-two million, four hundred twenty-seven thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 2.32948472427648 × 1014
Factors of 232948472427648
Divisors of 232948472427648
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 47 48 54 64 69 72 81 92 94 96 97 108 128 138 141 144 162 184 188 192 194 207 216 276 282 288 291 324 368 376 384 388 414 423 432 552 564 576 582 621 648 736 752 776 828 846 864 873 1081 1104 1128 1152 1164 1242 1269 1296 1472 1504 1552 1656 1692 1728 1746 1863 2162 2208 2209 2231 2256 2328 2484 2538 2592 2619 2944 3008 3104 3243 3312 3384 3456 3492 3726 3807 4324 4416 4418 4462 4512 4559 4656 4968 5076 5184 5238 6016 6208 6486 6624 6627 6693 6768 6984 7452 7614 7857 8648 8832 8836 8924 9024 9118 9312 9409 9729 9936 10152 10368 10476 12416 12972 13248 13254 13386 13536 13677 13968 14904 15228 15714 17296 17672 17848 18048 18236 18624 18818 19458 19872 19881 20079 20304 20952 25944 26496 26508 26772 27072 27354 27936 28227 29187 29808 30456 31428 34592 35344 35696 36472 37248 37636 38916 39744 39762 40158 40608 41031 41904 50807 51888 53016 53544 54144 54708 55872 56454 58374 59616 59643 60237 60912 62856 69184 70688 71392 72944 75272 77832 79488 79524 80316 81216 82062 83808 84681 87561 101614 103776 103823 104857 106032 107088 109416 111744 112908 116748 119232 119286 120474 121824 123093 125712 138368 141376 142784 145888 150544 152421 155664 159048 160632 162432 164124 167616 169362 175122 178929 180711 203228 207552 207646 209714 212064 214176 214273 216407 218832 225816 233496 238464 238572 240948 243648 246186 251424 254043 282752 285568 291776 301088 304842 311328 311469 314571 318096 321264 328248 335232 338724 350244 357858 361422 369279 406456 415104 415292 419428 424128 428352 428546 432814 437664 442223 451632 457263 466992 477144 481896 487296 492372 502848 508086 583552 602176 609684 622656 622938 629142 636192 642528 642819 649221 656496 677448 700488 715716 722844 738558 762129 812912 830584 838856 848256 856704 857092 865628 875328 884446 903264 914526 933984 934407 943713 954288 963792 984744 1005696 1016172 1204352 1219368 1245312 1245876 1258284 1272384 1285056 1285638 1298442 1312992 1326669 1354896 1371789 1400976 1431432 1445688 1477116 1524258 1625824 1661168 1677712 1714184 1731256 1750656 1768892 1806528 1829052 1867968 1868814 1887426 1908576 1927584 1928457 1947663 1969488 2032344 2387929 2438736 2491752 2516568 2544768 2570112 2571276 2596884 2625984 2653338 2709792 2743578 2801952 2803221 2831139 2862864 2891376 2954232 3048516 3251648 3322336 3355424 3428368 3462512 3537784 3613056 3658104 3735936 3737628 3774852 3817152 3855168 3856914 3895326 3938976 3980007 4064688 4115367 4775858 4877472 4928279 4983504 5033136 5142552 5193768 5251968 5306676 5419584 5487156 5603904 5606442 5662278 5725728 5782752 5785371 5842989 5908464 6097032 6503296 6644672 6710848 6856736 6925024 7075568 7163787 7316208 7475256 7549704 7634304 7710336 7713828 7790652 7877952 7960014 8129376 8230734 8409663 8493417 9551716 9754944 9856558 9967008 10066272 10070831 10171129 10285104 10387536 10613352 10839168 10974312 11207808 11212884 11324556 11451456 11565504 11570742 11685978 11816928 11940021 12194064 13289344 13421696 13713472 13850048 14151136 14327574 14632416 14784837 14950512 15099408 15427656 15581304 15755904 15920028 16258752 16461468 16819326 16986834 17356113 17528967 19103432 19509888 19713116 19934016 20132544 20141662 20342258 20570208 20775072 20784481 21226704 21491361 21948624 22425768 22649112 22902912 23131008 23141484 23371956 23633856 23880042 24388128 27426944 27700096 28302272 28655148 29264832 29569674 29901024 30198816 30212493 30513387 30855312 31162608 31840056 32517504 32922936 33638652 33973668 34712226 35057934 35820063 38206864 39426232 39868032 40265088 40283324 40684516 41140416 41550144 41568962 42453408 42982722 43897248 44354511 44851536 45298224 46282968 46743912 47267712 47760084 48776256 56604544 57310296 58529664 59139348 59802048 60397632 60424986 61026774 61710624 62325216 62353443 63680112 64474083 65845872 67277304 67947336 69424452 70115868 71640126 76413728 78852464 80566648 81369032 82280832 83100288 83137924 84906816 85965444 87794496 88709022 89703072 90596448 90637479 91540161 92565936 93487824 95520168 97552512 114620592 118278696 119604096 120795264 120849972 122053548 123421248 124650432 124706886 127360224 128948166 131691744 133063533 134554608 135894672 138848904 140231736 143280252 152827456 157704928 161133296 162738064 166275848 169813632 171930888 175588992 177418044 179406144 181192896 181274958 183080322 185131872 186975648 187060329 191040336 193422249 229241184 231629113 236557392 241699944 244107096 246842496 249300864 249413772 254720448 257896332 263383488 266127066 269109216 271789344 271912437 274620483 277697808 280463472 286560504 305654912 315409856 322266592 325476128 332551696 343861776 354836088 358812288 362385792 362549916 366160644 370263744 373951296 374120658 382080672 386844498 399190599 458482368 463258226 473114784 478043063 483399888 488214192 498827544 509440896 515792664 526766976 532254132 538218432 543578688 543824874 549240966 555395616 560926944 561180987 573121008 630819712 644533184 650952256 665103392 687723552 694887339 709672176 725099832 732321288 740527488 747902592 748241316 764161344 773688996 798381198 815737311 823861449 916964736 926516452 946229568 956086126 966799776 976428384 976870607 997655088 1031585328 1064508264 1076436864 1087157376 1087649748 1098481932 1110791232 1121853888 1122361974 1146242016 1289066368 1301904512 1330206784 1375447104 1389774678 1419344352 1434129189 1450199664 1464642576 1496482632 1528322688 1547377992 1596762396 1631474622 1647722898 1683542961 1853032904 1892459136 1912172252 1933599552 1952856768 1953741214 1995310176 2063170656 2084662017 2129016528 2175299496 2196963864 2221582464 2243707776 2244723948 2292484032 2660413568 2750894208 2779549356 2838688704 2868258378 2900399328 2929285152 2930611821 2992965264 3094755984 3193524792 3262949244 3295445796 3367085922 3706065808 3824344504 3867199104 3905713536 3907482428 3990620352 4126341312 4169324034 4258033056 4302387567 4350598992 4393927728 4489447896 4584968064 5559098712 5677377408 5736516756 5800798656 5858570304 5861223642 5985930528 6189511968 6253986051 6387049584 6525898488 6590891592 6734171844 7412131616 7648689008 7814964856 7981240704 8252682624 8338648068 8516066112 8604775134 8701197984 8787855456 8791835463 8978895792 11118197424 11473033512 11601597312 11717140608 11722447284 11971861056 12379023936 12507972102 12774099168 12907162701 13051796976 13181783184 13468343688 14824263232 15297378016 15629929712 16677296136 17032132224 17209550268 17402395968 17575710912 17583670926 17957791584 18761958153 22236394848 22468023961 22946067024 23444894568 23943722112 24758047872 25015944204 25548198336 25814325402 26103593952 26363566368 26375506389 26936687376 29648526464 30594756032 31259859424 33354592272 34419100536 34804791936 35151421824 35167341852 35915583168 37523916306 38721488103 44472789696 44936047922 45892134048 46889789136 50031888408 51096396672 51628650804 52207187904 52727132736 52751012778 53873374752 61189512064 62519718848 66709184544 67404071883 68838201072 70334683704 71831166336 75047832612 77442976206 79126519167 88945579392 89872095844 91784268096 93779578272 100063776816 103257301608 104414375808 105454265472 105502025556 107746749504 125039437696 133418369088 134808143766 137676402144 140669367408 150095665224 154885952412 158253038334 179744191688 183568536192 187559156544 200127553632 202212215649 206514603216 211004051112 215493499008 266836738176 269616287532 275352804288 281338734816 300191330448 309771904824 316506076668 359488383376 375118313088 400255107264 404424431298 413029206432 422008102224 539232575064 550705608576 562677469632 600382660896 606636646947 619543809648 633012153336 718976766752 800510214528 808848862596 826058412864 844016204448 1078465150128 1125354939264 1200765321792 1213273293894 1239087619296 1266024306672 1437953533504 1617697725192 1652116825728 1688032408896 1819909940841 2156930300256 2401530643584 2426546587788 2478175238592 2532048613344 2875907067008 3235395450384 3376064817792 3639819881682 4313860600512 4853093175576 4956350477184 5064097226688 6470790900768 7279639763364 8627721201024 9706186351152 10128194453376 12941581801536 14559279526728 19412372702304 25883163603072 29118559053456 38824745404608 58237118106912 77649490809216 116474236213824 232948472427648
- Sum of all divisors σ(n): 746816315731200
- Sum of proper divisors (its aliquot sum) s(n): 513867843303552
- 232948472427648 is an abundant number, because the sum of its proper divisors (513867843303552) is greater than itself. Its abundance is 280919370875904
Bases of 232948472427648
- Binary: 1101001111011101100010101111001100110100100000002
- Hexadecimal: 0xD3DD8AF33480
- Base-36: 2AKN1TXK00
Squares and roots of 232948472427648
- 232948472427648 squared (2329484724276482) is 54264990806374680490594811904
- 232948472427648 cubed (2329484724276483) is 12640946714645344468136791166606100809121792
-
The
square root of 232948472427648 is 15262649.5873962853 -
The
cube root of 232948472427648 is 61529.9585176065
Scales and comparisons
How big is 232948472427648?- 232,948,472,427,648 seconds is equal to 7,407,040 years, 45 weeks, 7 hours, 40 minutes, 48 seconds.
-
To count from 1 to 232,948,472,427,648 would take you about eighteen million, five hundred seventeen thousand, six hundred two 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 232948472427648 cubic inches would be around 5127.5 feet tall.
Recreational maths with 232948472427648
- 232948472427648 backwards is 846724274849232
- 232948472427648 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 232948472427648's digits is 72
- More coming soon!
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The information we have on file for 232948472427648 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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