42132475793408
42,132,475,793,408 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42132475793408 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1872 divisors.
42132475793408 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, eight hundred seventy-two divisors.
Prime factorization of 42132475793408:
212 × 7 × 11 × 13 × 172 × 312 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 13 × 17 × 17 × 31 × 31 × 37)See below for interesting mathematical facts about the number 42132475793408 from the Numbermatics database.
Names of 42132475793408
- Cardinal: 42132475793408 can be written as Forty-two trillion, one hundred thirty-two billion, four hundred seventy-five million, seven hundred ninety-three thousand, four hundred eight.
Scientific notation
- Scientific notation: 4.2132475793408 × 1013
Factors of 42132475793408
Divisors of 42132475793408
- Number of divisors d(n): 1872
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 17 22 26 28 31 32 34 37 44 52 56 62 64 68 74 77 88 91 104 112 119 124 128 136 143 148 154 176 182 187 208 217 221 224 238 248 256 259 272 286 289 296 308 341 352 364 374 403 407 416 434 442 448 476 481 496 512 518 527 544 572 578 592 616 629 682 704 728 748 806 814 832 868 884 896 952 961 962 992 1001 1024 1036 1054 1088 1144 1147 1156 1184 1232 1258 1309 1364 1408 1456 1496 1547 1612 1628 1664 1736 1768 1792 1904 1922 1924 1984 2002 2023 2048 2072 2108 2176 2288 2294 2312 2368 2387 2431 2464 2516 2618 2728 2816 2821 2849 2912 2992 3094 3179 3224 3256 3328 3367 3472 3536 3584 3689 3757 3808 3844 3848 3968 4004 4046 4096 4144 4216 4352 4403 4433 4576 4588 4624 4736 4774 4862 4928 5032 5236 5291 5456 5632 5642 5698 5797 5824 5984 6188 6358 6448 6512 6656 6727 6734 6851 6919 6944 7072 7168 7378 7514 7616 7688 7696 7936 8008 8029 8092 8177 8288 8432 8704 8806 8866 8959 9152 9176 9248 9472 9548 9724 9856 10064 10472 10571 10582 10693 10912 11264 11284 11396 11594 11648 11968 12376 12493 12617 12716 12896 13024 13312 13454 13468 13702 13838 13888 14144 14336 14756 14911 15028 15232 15376 15392 15872 16016 16058 16184 16337 16354 16576 16864 17017 17408 17612 17732 17918 18304 18352 18496 18944 19096 19448 19499 19712 20128 20944 21142 21164 21386 21824 22253 22528 22568 22792 23188 23296 23936 24752 24986 25234 25432 25792 26048 26299 26624 26908 26936 27404 27676 27776 28288 28672 29512 29822 30056 30464 30752 30784 31031 31744 32032 32116 32368 32674 32708 33152 33728 34034 34816 35224 35464 35557 35836 36608 36704 36992 37037 37888 38192 38896 38998 39424 40256 40579 41327 41888 42284 42328 42772 43648 44506 45056 45136 45584 46376 46592 47872 47957 48433 49504 49972 50468 50864 51584 52096 52598 53248 53816 53872 54808 55352 55552 56576 57239 59024 59644 60112 60928 61504 61568 62062 62713 63488 64064 64232 64736 65348 65416 66304 67456 68068 69632 70448 70928 71114 71672 73216 73408 73984 73997 74074 74851 75361 75776 76384 77792 77996 78848 80512 81158 82654 83776 84568 84656 85544 87296 87451 88319 89012 89947 90272 91168 92752 93184 95744 95914 96866 98549 99008 99944 100936 101728 103168 104192 104377 105196 107632 107744 109616 110704 111104 113152 114359 114478 116467 117623 118048 119288 120224 121856 123008 123136 124124 125426 126976 128128 128464 129472 130696 130832 132608 134912 136136 136493 137423 139009 140896 141856 142228 143344 146432 146816 147968 147994 148148 149702 150722 151552 152768 155584 155992 157696 161024 162316 164021 165308 167552 169136 169312 171088 174592 174902 176638 178024 179707 179894 180544 182336 185504 186368 191488 191828 193732 197098 198016 199888 201872 203456 206336 208384 208754 210392 212381 214489 215264 215488 219232 221408 222208 226304 228718 228956 232934 235246 236096 238576 240448 243712 246016 246272 248248 248899 250852 253487 256256 256928 258944 261392 261664 265216 269824 272272 272986 274846 277729 278018 281792 283712 284456 286688 289289 292864 293632 295936 295988 296296 299404 301444 305536 311168 311984 315392 322048 324632 328042 330616 331483 335104 338272 338624 342176 349184 349804 353276 356048 359414 359788 361088 364672 371008 372736 382976 383656 387464 391127 394196 396032 399776 403744 406912 412672 416768 417508 420784 424762 428978 430528 430976 438464 442816 444416 452608 457436 457912 462241 465868 470492 472192 477152 480896 487424 492032 492544 496496 497798 501704 506974 512512 513856 517888 522784 523328 527527 530432 539648 544544 545972 549692 555458 556036 563584 567424 568912 573376 578578 585728 587264 591872 591976 592592 598808 602888 604469 611072 622336 623968 629629 644096 649264 656084 661232 662966 670208 676544 677248 684352 689843 698368 699608 706552 712096 718828 719576 722176 729344 742016 765952 767312 774928 782254 788392 792064 799552 807488 813824 815269 823361 825344 833536 835016 841568 849524 857956 861056 861952 876928 885632 888832 905216 914872 915824 924482 931736 940984 944384 954304 961792 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177027209216 188091409792 190644686848 194158874624 202559979776 225307357184 231497119744 239389067008 273587505152 284678890496 294632697856 309797616128 329159967136 339778030592 354054418432 376182819584 405119959552 462994239488 478778134016 547175010304 569357780992 619595232256 658319934272 679556061184 752365639168 810239919104 957556268032 1138715561984 1239190464512 1316639868544 1359112122368 1504731278336 1620479838208 1915112536064 2478380929024 2633279737088 3009462556672 3240959676416 3830225072128 5266559474176 6018925113344 10533118948352 21066237896704 42132475793408
- Sum of all divisors σ(n): 127528548077952
- Sum of proper divisors (its aliquot sum) s(n): 85396072284544
- 42132475793408 is an abundant number, because the sum of its proper divisors (85396072284544) is greater than itself. Its abundance is 43263596491136
Bases of 42132475793408
- Binary: 10011001010001101110110100000011010000000000002
- Hexadecimal: 0x2651BB40D000
- Base-36: EXNE49BSW
Squares and roots of 42132475793408
- 42132475793408 squared (421324757934082) is 1775145516482111079096254464
- 42132475793408 cubed (421324757934083) is 74791275502959286928284750841719461773312
-
The
square root of 42132475793408 is 6490953.3809301081 -
The
cube root of 42132475793408 is 34796.7748677521
Scales and comparisons
How big is 42132475793408?- 42,132,475,793,408 seconds is equal to 1,339,682 years, 21 weeks, 18 hours, 10 minutes, 8 seconds.
-
To count from 1 to 42,132,475,793,408 would take you about three million, three hundred forty-nine thousand, two hundred 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 42132475793408 cubic inches would be around 2899.7 feet tall.
Recreational maths with 42132475793408
- 42132475793408 backwards is 80439757423124
- The number of decimal digits it has is: 14
- The sum of 42132475793408's digits is 59
- More coming soon!
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"Number 42132475793408 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 42132475793408 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/42132475793408/
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The information we have on file for 42132475793408 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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