40468130157312
40,468,130,157,312 is an even composite number composed of six prime numbers multiplied together.
40468130157312 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 40468130157312:
28 × 34 × 113 × 13 × 432 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 11 × 11 × 13 × 43 × 43 × 61)See below for interesting mathematical facts about the number 40468130157312 from the Numbermatics database.
Names of 40468130157312
- Cardinal: 40468130157312 can be written as Forty trillion, four hundred sixty-eight billion, one hundred thirty million, one hundred fifty-seven thousand, three hundred twelve.
Scientific notation
- Scientific notation: 4.0468130157312 × 1013
Factors of 40468130157312
Divisors of 40468130157312
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 43 44 48 52 54 61 64 66 72 78 81 86 88 96 99 104 108 117 121 122 128 129 132 143 144 156 162 172 176 183 192 198 208 216 234 242 244 256 258 264 286 288 297 312 324 344 351 352 363 366 384 387 396 416 429 432 468 473 484 488 516 528 549 559 572 576 594 624 648 671 688 702 704 726 732 768 774 792 793 832 858 864 891 936 946 968 976 1032 1053 1056 1089 1098 1118 1144 1152 1161 1188 1248 1287 1296 1331 1342 1376 1404 1408 1419 1452 1464 1548 1573 1584 1586 1647 1664 1677 1716 1728 1782 1849 1872 1892 1936 1952 2013 2064 2106 2112 2178 2196 2236 2288 2304 2322 2376 2379 2496 2574 2592 2623 2662 2684 2752 2808 2816 2838 2904 2928 3096 3146 3168 3172 3267 3294 3328 3354 3432 3456 3483 3564 3698 3744 3784 3861 3872 3904 3993 4026 4128 4212 4224 4257 4356 4392 4472 4576 4644 4719 4752 4758 4941 4992 5031 5148 5184 5203 5246 5324 5368 5504 5547 5616 5676 5808 5856 6039 6149 6192 6292 6336 6344 6534 6588 6708 6864 6912 6966 7128 7137 7381 7396 7488 7568 7722 7744 7808 7869 7986 8052 8256 8424 8448 8514 8712 8723 8784 8944 9152 9288 9438 9504 9516 9801 9882 9984 10062 10296 10368 10406 10492 10648 10736 11008 11094 11232 11352 11583 11616 11712 11979 12078 12298 12384 12584 12672 12688 12771 13068 13176 13416 13728 13932 14157 14256 14274 14762 14792 14976 15093 15136 15444 15488 15609 15616 15738 15972 16104 16512 16641 16848 17028 17303 17424 17446 17568 17888 18117 18304 18447 18576 18876 19008 19032 19602 19764 20124 20339 20592 20736 20812 20984 21296 21411 21472 22143 22188 22464 22704 23166 23232 23424 23607 23958 24037 24156 24596 24768 25168 25344 25376 25542 26136 26169 26352 26832 27456 27864 28314 28512 28548 28853 29524 29584 29952 30186 30272 30888 30976 31218 31476 31944 32208 33024 33282 33696 34056 34099 34606 34848 34892 35136 35776 35937 36234 36608 36894 37152 37752 38016 38064 38313 39204 39528 40248 40678 41184 41624 41968 42471 42592 42822 42944 44286 44376 44928 45279 45408 46332 46464 46827 46848 47214 47916 48074 48312 49192 49536 49923 50336 50752 51084 51909 52272 52338 52704 53664 54351 54912 55341 55728 56628 57024 57096 57233 57706 59048 59168 60372 60544 61017 61776 62436 62952 63888 64233 64416 66429 66564 67392 67639 68112 68198 69212 69696 69784 70272 70821 71552 71874 72111 72468 73788 74304 75504 76032 76128 76626 78408 78507 79056 80496 81191 81356 82368 83248 83936 84942 85184 85644 85888 86559 88572 88752 89856 90558 90816 92664 92928 93654 94428 95832 95953 96148 96624 98384 99072 99846 100672 101504 102168 102297 103818 104544 104676 105408 107328 107811 108702 109824 110682 111456 112789 113256 114048 114192 114466 115412 118096 118336 120744 121088 122034 123552 124872 125904 127413 127776 128466 128832 132858 133128 134784 135278 136224 136396 138424 139392 139568 140481 140544 141642 143104 143748 144222 144936 147576 148608 149769 151008 152256 153252 155727 156816 157014 158112 160992 162382 162712 164736 166023 166496 167872 169884 170368 171288 171699 171776 173118 177144 177504 181116 181632 183051 185328 187308 188856 191664 191906 192296 193248 196768 199287 199692 201344 202917 203008 204336 204594 207636 209088 209352 210816 212463 214656 215622 216333 217404 221364 222912 223729 225578 226512 228096 228384 228932 230824 235521 236192 236672 241488 243573 244068 247104 249744 251808 254826 255552 256932 257664 259677 264407 265716 266256 269568 270556 272448 272792 276848 278784 279136 280962 283284 287496 287859 288444 289872 295152 297216 299538 302016 304512 306504 306891 311454 313632 314028 316224 317383 321984 324764 325424 329472 332046 332992 335744 338367 339768 340736 342576 343398 346236 354288 355008 362232 363264 366102 370656 374616 375089 377712 383328 383812 384592 386496 393536 398574 399384 402688 405834 408672 409188 415272 418176 418704 421443 421632 424926 429312 431244 432666 434808 442728 445824 447458 451156 453024 456768 457864 461648 467181 471042 472384 473344 482976 487146 488136 494208 498069 499488 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104568811776 105385755618 110568661632 111482452224 114966278856 115293818112 117639913248 124901636288 129705545376 136256330496 140514340824 141496958592 153288371808 156853217664 158078633427 165852992448 167223678336 172940727168 187352454432 194558318064 204384495744 210771511236 221137323264 229932557712 235279826496 249803272576 259411090752 281028681648 282993917184 306576743616 313706435328 316157266854 331705984896 334447356672 345881454336 374704908864 389116636128 408768991488 421543022472 459865115424 470559652992 499606545152 518822181504 562057363296 613153487232 632314533708 663411969792 749409817728 778233272256 843086044944 919730230848 941119305984 1037644363008 1124114726592 1226306974464 1264629067416 1498819635456 1556466544512 1686172089888 1839460461696 2248229453184 2529258134832 3112933089024 3372344179776 3678920923392 4496458906368 5058516269664 6744688359552 10117032539328 13489376719104 20234065078656 40468130157312
- Sum of all divisors σ(n): 148736544064416
- Sum of proper divisors (its aliquot sum) s(n): 108268413907104
- 40468130157312 is an abundant number, because the sum of its proper divisors (108268413907104) is greater than itself. Its abundance is 67800283749792
Bases of 40468130157312
- Binary: 10010011001110001110001000010111010011000000002
- Hexadecimal: 0x24CE3885D300
- Base-36: ECESVU800
Squares and roots of 40468130157312
- 40468130157312 squared (404681301573122) is 1637669558429144957867065344
- 40468130157312 cubed (404681301573123) is 66273424845178307519414574671470503395328
-
The
square root of 40468130157312 is 6361456.6065730575 -
The
cube root of 40468130157312 is 34332.4170454075
Scales and comparisons
How big is 40468130157312?- 40,468,130,157,312 seconds is equal to 1,286,761 years, 18 weeks, 6 days, 1 hour, 55 minutes, 12 seconds.
-
To count from 1 to 40,468,130,157,312 would take you about three million, two hundred sixteen thousand, nine hundred three 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 40468130157312 cubic inches would be around 2861 feet tall.
Recreational maths with 40468130157312
- 40468130157312 backwards is 21375103186404
- The number of decimal digits it has is: 14
- The sum of 40468130157312's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 40468130157312 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 40468130157312 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/40468130157312/
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Numbermatics. 2024. "Number 40468130157312 - Facts about the integer". https://numbermatics.com/n/40468130157312/
The information we have on file for 40468130157312 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!
Keywords: Divisors of 40468130157312, math, Factors of 40468130157312, curriculum, school, college, exams, university, Prime factorization of 40468130157312, STEM, science, technology, engineering, physics, economics, calculator, forty trillion, four hundred sixty-eight billion, one hundred thirty million, one hundred fifty-seven thousand, three hundred twelve.