428900769234944

Names of 428900769234944

• Cardinal: 428900769234944 can be written as Four hundred twenty-eight trillion, nine hundred billion, seven hundred sixty-nine million, two hundred thirty-four thousand, nine hundred forty-four.

Scientific notation

• Scientific notation: 4.28900769234944 × 10¹⁴

Factors of 428900769234944

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 326

Divisors of 428900769234944

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 4 8 16 19 32 38 41 64 67 76 82 128 134 152 164 197 256 268 304 328 361 394 512 536 608 656 722 779 788 1024 1072 1216 1273 1312 1444 1558 1576 2048 2144 2432 2546 2624 2747 2888 3116 3152 3743 4096 4288 4489 4864 5092 5248 5494 5776 6232 6304 7486 8077 8192 8576 8978 9728 10184 10496 10988 11552 12464 12608 13199 14801 14972 16154 16384 17152 17956 19456 20368 20992 21976 23104 24187 24928 25216 26398 29602 29944 32308 32768 34304 35912 38912 40736 41984 43952 46208 48374 49856 50432 52193 52796 59204 59888 64616 68608 71117 71824 77824 81472 83968 85291 87904 92416 96748 99712 100864 104386 105592 118408 119776 129232 137216 142234 143648 153463 155648 162944 167936 170582 175808 184049 184832 193496 199424 201728 208772 211184 236816 239552 250781 258464 274432 284468 287296 306926 311296 325888 335872 341164 351616 368098 369664 386992 398848 403456 417544 422368 473632 479104 501562 516928 541159 548864 568936 574592 613852 622592 651776 671744 682328 703232 736196 739328 773984 797696 806912 835088 844736 884333 947264 958208 991667 1003124 1033856 1082318 1097728 1137872 1149184 1227704 1303552 1343488 1364656 1406464 1472392 1478656 1547968 1595392 1613824 1620529 1670176 1689472 1768666 1894528 1916416 1983334 2006248 2067712 2164636 2195456 2275744 2298368 2455408 2607104 2729312 2812928 2915797 2944784 2957312 3095936 3190784 3227648 3241058 3340352 3378944 3496931 3537332 3789056 3832832 3966668 4012496 4135424 4329272 4551488 4596736 4764839 4910816 5214208 5458624 5625856 5831594 5889568 5914624 6191872 6381568 6455296 6482116 6680704 6757888 6993862 7074664 7578112 7665664 7933336 8024992 8270848 8658544 9102976 9193472 9529678 9821632 10282021 10428416 10917248 11251712 11663188 11779136 11829248 12383744 12763136 12964232 13361408 13515776 13987724 14149328 15156224 15331328 15866672 16049984 16541696 16802327 17317088 18205952 18386944 19059356 19643264 20564042 20856832 21834496 22503424 23326376 23558272 24767488 25526272 25928464 26722816 27031552 27975448 28298656 30312448 30662656 31733344 32099968 33083392 33604654 34634176 36257653 36411904 36773888 38118712 39286528 41128084 41713664 43668992 45006848 46652752 47116544 49534976 51856928 53445632 54063104 55950896 56597312 60624896 61325312 63466688 64199936 66166784 66441689 67209308 69268352 72515306 72823808 73547776 76237424 78573056 82256168 87337984 90013696 93305504 94233088 99069952 103713856 106891264 108126208 111901792 113194624 121249792 122650624 126933376 128399872 132333568 132883378 134418616 138536704 145030612 145647616 147095552 152474848 157146112 164512336 174675968 186611008 188466176 195358399 198139904 207427712 213782528 216252416 223803584 226389248 242499584 253866752 256799744 264667136 265766756 268837232 277073408 290061224 291295232 304949696 314292224 319244213 329024672 349351936 373222016 376932352 390716798 396279808 414855424 427565056 432504832 447607168 452778496 484999168 507733504 513599488 531533512 537674464 554146816 580122448 582590464 609899392 628584448 638488426 658049344 688895407 698703872 746444032 753864704 781433596 792559616 829710848 855130112 895214336 905556992 1015467008 1027198976 1063067024 1075348928 1108293632 1160244896 1165180928 1219798784 1257168896 1276976852 1316098688 1377790814 1397407744 1492888064 1507729408 1562867192 1659421696 1710260224 1790428672 1811113984 2030934016 2054397952 2126134048 2150697856 2216587264 2320489792 2330361856 2439597568 2514337792 2553953704 2632197376 2755581628 2794815488 2985776128 3015458816 3125734384 3318843392 3580857344 3622227968 4061868032 4108795904 4252268096 4301395712 4433174528 4640979584 4879195136 5028675584 5107907408 5264394752 5511163256 5971552256 6030917632 6251468768 6637686784 7161714688 7244455936 8123736064 8217591808 8504536192 8602791424 8866349056 9281959168 9758390272 10215814816 10528789504 11022326512 11943104512 12502937536 13089012733 13275373568 14323429376 14488911872 16247472128 17009072384 17205582848 17732698112 18563918336 19516780544 20431629632 21057579008 22044653024 23886209024 25005875072 26178025466 26550747136 28646858752 28977823744 32494944256 34018144768 34411165696 37127836672 39033561088 40863259264 42115158016 44089306048 47772418048 50011750144 52356050932 53101494272 57293717504 68036289536 68822331392 74255673344 78067122176 81726518528 84230316032 88178612096 95544836096 100023500288 104712101864 114587435008 136072579072 137644662784 148511346688 156134244352 163453037056 168460632064 176357224192 200047000576 209424203728 272145158144 275289325568 297022693376 326906074112 336921264128 352714448384 400094001152 418848407456 544290316288 550578651136 594045386752 653812148224 705428896768 800188002304 837696814912 1088580632576 1188090773504 1307624296448 1410857793536 1600376004608 1675393629824 2177161265152 2615248592896 2821715587072 3200752009216 3350787259648 5230497185792 5643431174144 6401504018432 6701574519296 10460994371584 11286862348288 13403149038592 22573724696576 26806298077184 53612596154368 107225192308736 214450384617472 428900769234944
• Sum of all divisors σ(n): 946219270786020
• Sum of proper divisors (its aliquot sum) s(n): 517318501551076
• 428900769234944 is an abundant number, because the sum of its proper divisors (517318501551076) is greater than itself. Its abundance is 88417732316132

Bases of 428900769234944

• Binary: 1100001100001010100111101111111101000000000000000₂
• Hexadecimal: 0x186153DFE8000
• Base-36: 4816AK4268

Squares and roots of 428900769234944

• 428900769234944 squared (428900769234944²) is 183955869850326685599070683136
• 428900769234944 cubed (428900769234944³) is 78898814084088358240777794503773794162704384
• The square root of 428900769234944 is 20709919.5854292009
• The cube root of 428900769234944 is 75414.0518219447

Scales and comparisons

• 428,900,769,234,944 seconds is equal to 13,637,717 years, 40 weeks, 5 days, 13 hours, 15 minutes, 44 seconds.
• To count from 1 to 428,900,769,234,944 would take you about thirty-four million, ninety-four thousand, two hundred ninety-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 428900769234944 cubic inches would be around 6284.5 feet tall.

Recreational maths with 428900769234944

• 428900769234944 backwards is 449432967009824
• The number of decimal digits it has is: 15
• The sum of 428900769234944's digits is 71
• More coming soon!