42123144960
42,123,144,960 is an even composite number composed of seven prime numbers multiplied together.
42123144960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 42123144960:
28 × 33 × 5 × 13 × 29 × 53 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 29 × 53 × 61)See below for interesting mathematical facts about the number 42123144960 from the Numbermatics database.
Names of 42123144960
- Cardinal: 42123144960 can be written as Forty-two billion, one hundred twenty-three million, one hundred forty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.212314496 × 1010
Factors of 42123144960
Divisors of 42123144960
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 29 30 32 36 39 40 45 48 52 53 54 58 60 61 64 65 72 78 80 87 90 96 104 106 108 116 117 120 122 128 130 135 144 145 156 159 160 174 180 183 192 195 208 212 216 232 234 240 244 256 260 261 265 270 288 290 305 312 318 320 348 351 360 366 377 384 390 416 424 432 435 464 468 477 480 488 520 522 530 540 549 576 580 585 610 624 636 640 689 696 702 720 732 754 768 780 783 793 795 832 848 864 870 915 928 936 954 960 976 1040 1044 1060 1080 1098 1131 1152 1160 1170 1220 1248 1272 1280 1305 1378 1392 1404 1431 1440 1464 1508 1537 1560 1566 1586 1590 1647 1664 1696 1728 1740 1755 1769 1830 1856 1872 1885 1908 1920 1952 2067 2080 2088 2120 2160 2196 2262 2304 2320 2340 2379 2385 2440 2496 2544 2610 2745 2756 2784 2808 2862 2880 2928 3016 3074 3120 3132 3172 3180 3233 3294 3328 3392 3393 3445 3456 3480 3510 3538 3660 3712 3744 3770 3816 3840 3904 3915 3965 4134 4160 4176 4240 4320 4392 4524 4611 4640 4680 4758 4770 4880 4992 5088 5220 5307 5490 5512 5568 5616 5655 5724 5760 5856 6032 6148 6201 6240 6264 6344 6360 6466 6588 6784 6786 6890 6912 6960 7020 7076 7137 7155 7320 7424 7488 7540 7632 7685 7808 7830 7930 8235 8268 8320 8352 8480 8640 8784 8845 9048 9222 9280 9360 9516 9540 9699 9760 9984 10176 10179 10335 10440 10614 10980 11024 11136 11232 11310 11448 11520 11712 11895 12064 12296 12402 12480 12528 12688 12720 12932 13176 13568 13572 13780 13833 13920 14040 14152 14274 14310 14640 14976 15080 15264 15370 15616 15660 15860 15921 16165 16470 16536 16640 16704 16960 16965 17280 17568 17690 18096 18444 18560 18603 18720 19032 19080 19398 19520 19981 20352 20358 20670 20880 21228 21411 21960 22048 22272 22464 22620 22896 22997 23055 23424 23790 24128 24592 24804 24960 25056 25376 25440 25864 26352 26535 27144 27560 27666 27840 28080 28304 28548 28620 29097 29280 29952 30160 30528 30740 31005 31320 31720 31842 32330 32940 33072 33408 33920 33930 34560 35136 35380 35685 36192 36888 37120 37206 37440 38064 38160 38796 39040 39962 40704 40716 41340 41499 41760 42029 42456 42822 43920 44096 44928 45240 45792 45994 46110 46848 47580 47763 48256 48495 49184 49608 49920 50112 50752 50880 50895 51728 52704 53070 54288 55120 55332 55680 56160 56608 57096 57240 58194 58560 59943 60320 61056 61480 62010 62640 63440 63684 64660 65880 66144 66816 67840 67860 68991 69165 70272 70760 71370 72384 73776 74412 74880 76128 76320 77592 78080 79605 79924 81432 82680 82998 83520 84058 84912 85644 87291 87840 88192 89856 90480 91584 91988 92220 93015 93757 95160 95526 96512 96990 98368 99216 99905 100224 101504 101760 101790 103456 105408 106140 107055 108576 110240 110664 111360 112320 113216 114192 114480 114985 116388 117120 119886 120640 122112 122960 124020 125280 126087 126880 127368 129320 131760 132288 135720 137982 138330 140544 141520 142740 144768 145485 147552 148824 149760 152256 152640 155184 159210 159848 162864 165360 165996 167040 168116 169824 171288 174582 175680 176384 179829 180960 183168 183976 184440 186030 187514 190320 191052 193980 196736 198432 199810 200448 203008 203520 203580 206912 206973 207495 210145 210816 212280 214110 217152 220480 221328 224640 226432 228384 228960 229970 232776 234240 238815 239772 241280 245920 248040 250560 252174 253760 254736 258640 263520 264576 271440 275964 276660 281271 283040 285480 289536 290970 295104 297648 299715 304512 305280 310368 318420 319696 325728 330720 331992 334080 336232 339648 342576 344955 349164 351360 359658 361920 366336 367952 368880 372060 375028 378261 380640 382104 387960 393472 396864 399620 407160 413824 413946 414990 420290 421632 424560 428220 434304 436455 440960 442656 449280 452864 456768 457920 459940 465552 468785 477630 479544 482560 491840 496080 501120 504348 507520 509472 517280 527040 529152 539487 542880 551928 553320 562542 566080 570960 581940 590208 595296 599430 609024 610560 620736 620919 630435 636840 639392 651456 661440 663984 672464 679296 685152 689910 698328 702720 719316 723840 735904 737760 744120 750056 756522 761280 764208 775920 793728 799240 814320 827648 827892 829980 840580 843813 849120 856440 868608 872910 881920 885312 899145 913536 915840 919880 931104 937570 955260 959088 983680 992160 1002240 1008696 1015040 1018944 1034560 1034865 1054080 1078974 1085760 1103856 1106640 1125084 1132160 1134783 1141920 1163880 1180416 1190592 1198860 1218841 1241472 1241838 1260870 1273680 1278784 1302912 1322880 1327968 1344928 1358592 1370304 1379820 1396656 1406355 1438632 1447680 1471808 1475520 1488240 1500112 1513044 1522560 1528416 1551840 1587456 1598480 1628640 1655784 1659960 1681160 1687626 1698240 1712880 1745820 1770624 1798290 1827072 1831680 1839760 1862208 1875140 1891305 1910520 1918176 1967360 1984320 2017392 2037888 2069120 2069730 2108160 2157948 2171520 2207712 2213280 2250168 2264320 2269566 2283840 2327760 2381184 2397720 2437682 2482944 2483676 2521740 2531439 2547360 2557568 2605824 2645760 2655936 2689856 2697435 2740608 2759640 2793312 2812710 2877264 2943616 2951040 2976480 3000224 3026088 3045120 3056832 3103680 3104595 3196960 3257280 3311568 3319920 3362320 3375252 3396480 3425760 3491640 3541248 3596580 3656523 3679520 3724416 3750280 3782610 3821040 3836352 3968640 4034784 4075776 4138240 4139460 4219065 4315896 4343040 4415424 4426560 4500336 4539132 4567680 4655520 4762368 4795440 4875364 4967352 5043480 5062878 5094720 5115136 5311872 5379712 5394870 5481216 5519280 5586624 5625420 5673915 5754528 5887232 5902080 5952960 6000448 6052176 6094205 6113664 6207360 6209190 6393920 6514560 6623136 6639840 6724640 6750504 6792960 6851520 6983280 7193160 7313046 7359040 7448832 7500560 7565220 7642080 7672704 7937280 8069568 8278920 8438130 8631792 8830848 8853120 9000672 9078264 9135360 9311040 9590880 9750728 9934704 10086960 10125756 10189440 10623744 10759424 10789740 10969569 11038560 11173248 11250840 11347830 11509056 11905920 12000896 12104352 12188410 12227328 12414720 12418380 12657195 12787840 13029120 13246272 13279680 13449280 13501008 13703040 13966560 14386320 14626092 14718080 15001120 15130440 15284160 15345408 16139136 16557840 16876260 17263584 17661696 17706240 18001344 18156528 18282615 18622080 19181760 19501456 19869408 20173920 20251512 20378880 21579480 21939138 22077120 22346496 22501680 22695660 23018112 23811840 24001792 24208704 24376820 24836760 25314390 25575680 26492544 26559360 26898560 27002016 27406080 27933120 28772640 29252184 29436160 30002240 30260880 30568320 32278272 32908707 33115680 33752520 34527168 36002688 36313056 36565230 37244160 38363520 39002912 39738816 40347840 40503024 43158960 43878276 44154240 45003360 45391320 46036224 48417408 48753640 49673520 50628780 52985088 53118720 53797120 54004032 54847845 55866240 57545280 58504368 60004480 60521760 61136640 65817414 66231360 67505040 69054336 72005376 72626112 73130460 76727040 78005824 79477632 80695680 81006048 86317920 87756552 88308480 90006720 90782640 96834816 97507280 99347040 101257560 108008064 109695690 111732480 115090560 117008736 120008960 121043520 131634828 132462720 135010080 138108672 145252224 146260920 156011648 158955264 161391360 162012096 164543535 172635840 175513104 180013440 181565280 195014560 198694080 202515120 216016128 219391380 230181120 234017472 242087040 263269656 264925440 270020160 290504448 292521840 312023296 324024192 329087070 345271680 351026208 360026880 363130560 390029120 397388160 405030240 438782760 468034944 484174080 526539312 540040320 585043680 648048384 658174140 690543360 702052416 726261120 780058240 794776320 810060480 877565520 936069888 1053078624 1080080640 1170087360 1316348280 1404104832 1452522240 1560116480 1620120960 1755131040 2106157248 2340174720 2632696560 2808209664 3240241920 3510262080 4212314496 4680349440 5265393120 7020524160 8424628992 10530786240 14041048320 21061572480 42123144960
- Sum of all divisors σ(n): 172451462400
- Sum of proper divisors (its aliquot sum) s(n): 130328317440
- 42123144960 is an abundant number, because the sum of its proper divisors (130328317440) is greater than itself. Its abundance is 88205172480
Bases of 42123144960
- Binary: 1001110011101011110000101111000000002
- Hexadecimal: 0x9CEBC2F00
- Base-36: JCN16O0
Squares and roots of 42123144960
- 42123144960 squared (421231449602) is 1774359341321173401600
- 42123144960 cubed (421231449603) is 74741595745601905112893095936000
-
The
square root of 42123144960 is 205239.2383536833 -
The
cube root of 42123144960 is 3479.4205931915
Scales and comparisons
How big is 42123144960?- 42,123,144,960 seconds is equal to 1,339 years, 20 weeks, 9 hours, 36 minutes.
-
To count from 1 to 42,123,144,960 would take you about two thousand, six hundred seventy-eight 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 42123144960 cubic inches would be around 290 feet tall.
Recreational maths with 42123144960
- 42123144960 backwards is 06944132124
- 42123144960 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 42123144960's digits is 36
- More coming soon!
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The information we have on file for 42123144960 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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