428796890966400
428,796,890,966,400 is an even composite number composed of six prime numbers multiplied together.
428796890966400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 428796890966400:
27 × 3 × 52 × 112 × 163 × 2264683
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 11 × 163 × 2264683)See below for interesting mathematical facts about the number 428796890966400 from the Numbermatics database.
Names of 428796890966400
- Cardinal: 428796890966400 can be written as Four hundred twenty-eight trillion, seven hundred ninety-six billion, eight hundred ninety million, nine hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 4.287968909664 × 1014
Factors of 428796890966400
Divisors of 428796890966400
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 100 110 120 121 128 132 150 160 163 165 176 192 200 220 240 242 264 275 300 320 326 330 352 363 384 400 440 480 484 489 528 550 600 605 640 652 660 704 726 800 815 825 880 960 968 978 1056 1100 1200 1210 1304 1320 1408 1452 1600 1630 1650 1760 1793 1815 1920 1936 1956 2112 2200 2400 2420 2445 2608 2640 2904 3025 3200 3260 3300 3520 3586 3630 3872 3912 4075 4224 4400 4800 4840 4890 5216 5280 5379 5808 6050 6520 6600 7040 7172 7260 7744 7824 8150 8800 8965 9075 9600 9680 9780 10432 10560 10758 11616 12100 12225 13040 13200 14344 14520 15488 15648 16300 17600 17930 18150 19360 19560 19723 20864 21120 21516 23232 24200 24450 26080 26400 26895 28688 29040 31296 32600 35200 35860 36300 38720 39120 39446 43032 44825 46464 48400 48900 52160 52800 53790 57376 58080 59169 62592 65200 71720 72600 77440 78240 78892 86064 89650 96800 97800 98615 104320 105600 107580 114752 116160 118338 130400 134475 143440 145200 156480 157784 172128 179300 193600 195600 197230 215160 229504 232320 236676 260800 268950 286880 290400 295845 312960 315568 344256 358600 387200 391200 394460 430320 473352 493075 521600 537900 573760 580800 591690 631136 688512 717200 782400 788920 860640 946704 986150 1075800 1147520 1161600 1183380 1262272 1434400 1479225 1564800 1577840 1721280 1893408 1972300 2151600 2264683 2366760 2524544 2868800 2958450 3155680 3442560 3786816 3944600 4303200 4529366 4733520 5737600 5916900 6311360 6794049 7573632 7889200 8606400 9058732 9467040 11323415 11833800 12622720 13588098 15778400 17212800 18117464 18934080 22646830 23667600 24911513 27176196 31556800 33970245 36234928 37868160 45293660 47335200 49823026 54352392 56617075 63113600 67940490 72469856 74734539 90587320 94670400 99646052 108704784 113234150 124557565 135880980 144939712 149469078 169851225 181174640 189340800 199292104 217409568 226468300 249115130 271761960 274026643 289879424 298938156 339702450 362349280 369143329 373672695 398584208 434819136 452936600 498230260 543523920 548053286 597876312 622787825 679404900 724698560 738286658 747345390 797168416 822079929 869638272 905873200 996460520 1087047840 1096106572 1107429987 1195752624 1245575650 1358809800 1370133215 1449397120 1476573316 1494690780 1594336832 1644159858 1811746400 1845716645 1868363475 1992921040 2174095680 2192213144 2214859974 2391505248 2491151300 2717619600 2740266430 2953146632 2989381560 3188673664 3288319716 3623492800 3691433290 3736726950 3985842080 4060576619 4110399645 4348191360 4384426288 4429719948 4783010496 4982302600 5435239200 5480532860 5537149935 5906293264 5978763120 6576639432 6850666075 7246985600 7382866580 7473453900 7971684160 8121153238 8220799290 8768852576 8859439896 9228583225 9566020992 9964605200 10870478400 10961065720 11074299870 11812586528 11957526240 12181729857 13153278864 13701332150 14765733160 14946907800 15943368320 16242306476 16441598580 17537705152 17718879792 18457166450 19929210400 20302883095 20551998225 21740956800 21922131440 22148599740 23625173056 23915052480 24363459714 26306557728 27402664300 27685749675 29531466320 29893815600 32484612952 32883197160 35075410304 35437759584 36914332900 39858420800 40605766190 41103996450 43844262880 44297199480 44666342809 47250346112 47830104960 48726919428 52613115456 54805328600 55371499350 59062932640 59787631200 60908649285 64969225904 65766394320 70875519168 73828665800 79716841600 81211532380 82207992900 87688525760 88594398960 89332685618 97453838856 101514415475 105226230912 109610657200 110742998700 118125865280 119575262400 121817298570 129938451808 131532788640 133999028427 141751038336 147657331600 162423064760 164415985800 175377051520 177188797920 178665371236 194907677712 203028830950 219221314400 221485997400 223331714045 236251730560 239150524800 243634597140 259876903616 263065577280 267998056854 295314663200 304543246425 324846129520 328831971600 354377595840 357330742472 389815355424 406057661900 438442628800 442971994800 446663428090 487269194280 519753807232 526131154560 535996113708 590629326400 609086492850 649692259040 657663943200 669995142135 708755191680 714661484944 779630710848 812115323800 876885257600 885943989600 893326856180 974538388560 1071992227416 1116658570225 1181258652800 1218172985700 1299384518080 1315327886400 1339990284270 1429322969888 1559261421696 1624230647600 1771887979200 1786653712360 1949076777120 2143984454832 2233317140450 2436345971400 2598769036160 2630655772800 2679980568540 2858645939776 3248461295200 3349975710675 3543775958400 3573307424720 3898153554240 4287968909664 4466634280900 4872691942800 5359961137080 5717291879552 6496922590400 6699951421350 7146614849440 7796307108480 8575937819328 8933268561800 9745383885600 10719922274160 12993845180800 13399902842700 14293229698880 17151875638656 17866537123600 19490767771200 21439844548320 26799805685400 28586459397760 35733074247200 38981535542400 42879689096640 53599611370800 71466148494400 85759378193280 107199222741600 142932296988800 214398445483200 428796890966400
- Sum of all divisors σ(n): 1561942227840960
- Sum of proper divisors (its aliquot sum) s(n): 1133145336874560
- 428796890966400 is an abundant number, because the sum of its proper divisors (1133145336874560) is greater than itself. Its abundance is 704348445908160
Bases of 428796890966400
- Binary: 11000010111111101000011100101110111101001100000002
- Hexadecimal: 0x185FD0E5DE980
- Base-36: 47ZUKLO96O
Squares and roots of 428796890966400
- 428796890966400 squared (4287968909664002) is 183866773702450729925928960000
- 428796890966400 cubed (4287968909664003) is 78841500915633508476516653809352146944000000
-
The
square root of 428796890966400 is 20707411.4984562953 -
The
cube root of 428796890966400 is 75407.9629903545
Scales and comparisons
How big is 428796890966400?- 428,796,890,966,400 seconds is equal to 13,634,414 years, 40 weeks, 2 days, 18 hours, 40 minutes.
-
To count from 1 to 428,796,890,966,400 would take you about thirty-four million, eighty-six thousand and thirty-six 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 428796890966400 cubic inches would be around 6284 feet tall.
Recreational maths with 428796890966400
- 428796890966400 backwards is 004669098697824
- The number of decimal digits it has is: 15
- The sum of 428796890966400's digits is 78
- More coming soon!
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