390225745248768
390,225,745,248,768 is an even composite number composed of six prime numbers multiplied together.
What does the number 390225745248768 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
390225745248768 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 390225745248768:
29 × 33 × 11 × 13 × 29 × 26092
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 13 × 29 × 2609 × 2609)See below for interesting mathematical facts about the number 390225745248768 from the Numbermatics database.
Names of 390225745248768
- Cardinal: 390225745248768 can be written as Three hundred ninety trillion, two hundred twenty-five billion, seven hundred forty-five million, two hundred forty-eight thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 3.90225745248768 × 1014
Factors of 390225745248768
Divisors of 390225745248768
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 29 32 33 36 39 44 48 52 54 58 64 66 72 78 87 88 96 99 104 108 116 117 128 132 143 144 156 174 176 192 198 208 216 232 234 256 261 264 286 288 297 312 319 348 351 352 377 384 396 416 429 432 464 468 512 522 528 572 576 594 624 638 696 702 704 754 768 783 792 832 858 864 928 936 957 1044 1056 1131 1144 1152 1188 1248 1276 1287 1392 1404 1408 1508 1536 1566 1584 1664 1716 1728 1856 1872 1914 2088 2112 2262 2288 2304 2376 2496 2552 2574 2609 2784 2808 2816 2871 3016 3132 3168 3328 3393 3432 3456 3712 3744 3828 3861 4147 4176 4224 4524 4576 4608 4752 4992 5104 5148 5218 5568 5616 5632 5742 6032 6264 6336 6656 6786 6864 6912 7424 7488 7656 7722 7827 8294 8352 8448 8613 9048 9152 9504 9984 10179 10208 10296 10436 11136 11232 11484 12064 12441 12528 12672 13572 13728 13824 14848 14976 15312 15444 15654 16588 16704 16896 17226 18096 18304 19008 19968 20358 20416 20592 20872 22272 22464 22968 23481 24128 24882 25056 25344 27144 27456 28699 29952 30624 30888 31308 33176 33408 33917 34452 36192 36608 37323 38016 40716 40832 41184 41744 44544 44928 45936 46962 48256 49764 50112 50688 54288 54912 57398 59904 61248 61776 62616 66352 66816 67834 68904 70443 72384 73216 74646 75661 76032 81432 81664 82368 83488 86097 89856 91872 93924 96512 99528 100224 101751 108576 109824 111969 114796 122496 123552 125232 132704 133632 135668 137808 140886 144768 149292 151322 152064 162864 163328 164736 166976 172194 179712 183744 187848 193024 199056 200448 203502 217152 219648 223938 226983 229592 244992 247104 250464 258291 265408 271336 275616 281772 289536 298584 302644 305253 325728 329472 333952 344388 367488 373087 375696 398112 400896 407004 434304 447876 453966 459184 489984 494208 500928 516582 530816 542672 551232 563544 579072 597168 605288 610506 651456 658944 667904 680949 688776 734976 746174 751392 774873 796224 814008 832271 868608 895752 907932 915759 918368 983593 988416 1001856 1033164 1061632 1085344 1102464 1119261 1127088 1194336 1210576 1221012 1302912 1335808 1361898 1377552 1469952 1492348 1502784 1549746 1592448 1628016 1664542 1737216 1791504 1815864 1831518 1836736 1967186 1976832 2003712 2042847 2066328 2123264 2170688 2204928 2238522 2254176 2388672 2421152 2442024 2496813 2605824 2723796 2755104 2950779 2984696 3005568 3099492 3184896 3256032 3329084 3357783 3583008 3631728 3663036 3673472 3934372 4007424 4085694 4132656 4341376 4409856 4477044 4508352 4777344 4842304 4884048 4993626 5211648 5447592 5510208 5901558 5969392 6011136 6198984 6369792 6512064 6658168 6715566 6806881 7166016 7263456 7326072 7346944 7490439 7868744 8171388 8265312 8682752 8852337 8954088 9016704 9554688 9684608 9768096 9987252 10073349 10819523 10895184 11020416 11803116 11938784 12022272 12397968 13024128 13316336 13431132 13613762 14332032 14526912 14652144 14693888 14980878 15737488 16342776 16530624 17365504 17704674 17908176 18033408 19109376 19369216 19536192 19974504 20146698 20420643 21639046 21790368 22040832 22471317 23606232 23877568 24795936 26048256 26557011 26632672 26862264 27227524 28664064 29053824 29304288 29961756 31474976 32458569 32685552 33061248 35409348 35816352 36066816 38738432 39072384 39949008 40293396 40841286 43278092 43580736 44081664 44942634 47212464 47755136 49591872 52096512 53114022 53265344 53724528 54455048 57328128 58107648 58608576 59923512 61261929 62949952 64917138 65371104 66122496 70818696 71632704 74875691 78144768 79898016 80586792 81682572 86556184 87161472 88489453 89885268 94424928 95510272 97375707 99183744 106228044 106530688 107449056 108910096 116215296 117217152 119847024 122523858 125899904 129834276 130742208 132244992 141637392 143265408 149751382 156289536 159796032 161173584 163365144 173112368 174322944 176978906 179770536 183785787 188849856 191020544 194751414 197399549 198367488 212456088 213061376 214898112 217820192 224627073 234434304 239694048 245047716 251799808 259668552 261484416 265468359 283274784 286530816 292127121 299502764 319592064 322347168 326730288 346224736 348645888 353957812 359541072 367571574 377699712 389502828 394799098 396734976 424912176 426122752 429796224 435640384 449254146 468868608 479388096 490095432 503599616 519337104 522968832 530936718 566549568 573061632 584254242 592198647 599005528 639184128 644694336 653460576 673881219 692449472 707915624 719082144 735143148 755399424 779005656 789598196 796405077 849824352 859592448 871280768 898508292 958776192 973383983 980190864 1038674208 1045937664 1061873436 1133099136 1168508484 1184397294 1198011056 1278368256 1289388672 1306921152 1347762438 1384898944 1415831248 1438164288 1470286296 1510798848 1558011312 1579196392 1592810154 1699648704 1719184896 1742561536 1776595941 1797016584 1917552384 1946767966 1960381728 2021643657 2077348416 2123746872 2171395039 2266198272 2337016968 2368794588 2389215231 2396022112 2566194137 2578777344 2613842304 2695524876 2769797888 2831662496 2876328576 2920151949 2940572592 3116022624 3158392784 3185620308 3399297408 3485123072 3553191882 3594033168 3835104768 3893535932 3920763456 4043287314 4154696832 4247493744 4342790078 4532396544 4674033936 4737589176 4778430462 4792044224 5132388274 5157554688 5227684608 5329787823 5391049752 5539595776 5663324992 5752657152 5840303898 5881145184 6232045248 6316785568 6371240616 6514185117 6798594816 7106383764 7188066336 7698582411 7787071864 7841526912 8086574628 8309393664 8494987488 8685580156 8760455847 9348067872 9475178352 9556860924 9584088448 10264776548 10455369216 10659575646 10782099504 11326649984 11505314304 11680607796 11762290368 12464090496 12633571136 12742481232 13028370234 13597189632 14212767528 14376132672 15397164822 15574143728 15683053824 16173149256 16618787328 16989974976 17371160312 17520911694 18696135744 18950356704 19113721848 19168176896 19542555351 20529553096 21319151292 21564199008 22653299968 23095747233 23361215592 23524580736 24928180992 25267142272 25484962464 26056740468 26281367541 28228135507 28425535056 28752265344 30794329644 31148287456 31366107648 32346298512 33979949952 34742320624 35041823388 37392271488 37900713408 38227443696 38336353792 39085110702 41059106192 42638302584 43128398016 45306599936 46191494466 46722431184 47049161472 49856361984 50534284544 50969924928 52113480936 52562735082 56456271014 56851070112 57504530688 58627666053 61588659288 62296574912 64692597024 67959899904 69287241699 69484641248 70083646776 74784542976 75801426816 76454887392 78170221404 82118212384 84684406521 85276605168 86256796032 92382988932 93444862368 94098322944 101068569088 101939849856 104226961872 105125470164 112912542028 113702140224 115009061376 117255332106 123177318576 124593149824 129385194048 135919799808 138574483398 138969282496 140167293552 149569085952 151602853632 152909774784 156340442808 164236424768 169368813042 170553210336 172513592064 184765977864 186889724736 203879699712 208453923744 210250940328 225825084056 227404280448 234510664212 246354637152 249186299648 254053219563 258770388096 277148966796 277938564992 280334587104 303205707264 305819549568 312680885616 328472849536 338737626084 341106420672 345027184128 369531955728 373779449472 407759399424 416907847488 420501880656 451650168112 454808560896 469021328424 492709274304 498372599296 508106439126 517540776192 554297933592 555877129984 560669174208 611639099136 625361771232 656945699072 677475252168 682212841344 739063911456 747558898944 762159658689 833815694976 841003761312 903300336224 909617121792 938042656848 985418548608 1016212878252 1035081552384 1108595867184 1111754259968 1121338348416 1223278198272 1250723542464 1313891398144 1354950504336 1364425682688 1478127822912 1495117797888 1524319317378 1667631389952 1682007522624 1806600672448 1876085313696 1970837097216 2032425756504 2217191734368 2242676696832 2501447084928 2709901008672 2728851365376 2956255645824 3048638634756 3335262779904 3364015045248 3613201344896 3752170627392 3941674194432 4064851513008 4434383468736 4485353393664 5002894169856 5419802017344 5912511291648 6097277269512 6728030090496 7226402689792 7504341254784 8129703026016 8868766937472 10005788339712 10839604034688 11825022583296 12194554539024 13456060180992 14452805379584 15008682509568 16259406052032 17737533874944 21679208069376 24389109078048 30017365019136 32518812104064 35475067749888 43358416138752 48778218156096 65037624208128 97556436312192 130075248416256 195112872624384 390225745248768
- Sum of all divisors σ(n): 1404367633468800
- Sum of proper divisors (its aliquot sum) s(n): 1014141888220032
- 390225745248768 is an abundant number, because the sum of its proper divisors (1014141888220032) is greater than itself. Its abundance is 623916142971264
Bases of 390225745248768
- Binary: 10110001011101000100000101110110110000010000000002
- Hexadecimal: 0x162E882ED8200
- Base-36: 3UBN8DE2O0
Squares and roots of 390225745248768
- 390225745248768 squared (3902257452487682) is 152276132254956381326205517824
- 390225745248768 cubed (3902257452487683) is 59422067192790312714323625285738673138040832
-
The
square root of 390225745248768 is 19754132.3587943999 -
The
cube root of 390225745248768 is 73075.5298352613
Scales and comparisons
How big is 390225745248768?- 390,225,745,248,768 seconds is equal to 12,407,971 years, 33 weeks, 6 days, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 390,225,745,248,768 would take you about thirty-one million, nineteen thousand, nine hundred twenty-nine 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 390225745248768 cubic inches would be around 6089.6 feet tall.
Recreational maths with 390225745248768
- 390225745248768 backwards is 867842547522093
- 390225745248768 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 390225745248768's digits is 72
- More coming soon!
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The information we have on file for 390225745248768 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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