13028378977152
13,028,378,977,152 is an even composite number composed of seven prime numbers multiplied together.
13028378977152 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13028378977152:
27 × 32 × 72 × 11 × 292 × 61 × 409
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 11 × 29 × 29 × 61 × 409)See below for interesting mathematical facts about the number 13028378977152 from the Numbermatics database.
Names of 13028378977152
- Cardinal: 13028378977152 can be written as Thirteen trillion, twenty-eight billion, three hundred seventy-eight million, nine hundred seventy-seven thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 1.3028378977152 × 1013
Factors of 13028378977152
Divisors of 13028378977152
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 29 32 33 36 42 44 48 49 56 58 61 63 64 66 72 77 84 87 88 96 98 99 112 116 122 126 128 132 144 147 154 168 174 176 183 192 196 198 203 224 231 232 244 252 261 264 288 294 308 319 336 348 352 366 384 392 396 406 409 427 441 448 462 464 488 504 522 528 539 549 576 588 609 616 638 671 672 693 696 704 732 784 792 812 818 841 854 882 896 924 928 957 976 1008 1044 1056 1078 1098 1152 1176 1218 1227 1232 1276 1281 1342 1344 1386 1392 1408 1421 1464 1568 1584 1617 1624 1636 1682 1708 1764 1769 1827 1848 1856 1914 1952 2013 2016 2088 2112 2156 2196 2233 2352 2436 2454 2464 2523 2552 2562 2684 2688 2772 2784 2842 2863 2871 2928 2989 3136 3168 3234 3248 3272 3364 3416 3528 3538 3654 3681 3696 3712 3828 3843 3904 4026 4032 4176 4224 4263 4312 4392 4466 4499 4697 4704 4851 4872 4908 4928 5046 5104 5124 5307 5368 5544 5568 5684 5726 5742 5856 5887 5978 6039 6272 6336 6468 6496 6544 6699 6728 6832 7056 7076 7308 7362 7392 7569 7656 7686 7808 8052 8064 8352 8526 8589 8624 8784 8932 8967 8998 9251 9394 9408 9702 9744 9816 9856 10092 10208 10248 10614 10736 11088 11136 11368 11452 11484 11712 11774 11861 11956 12078 12383 12672 12789 12936 12992 13088 13398 13456 13497 13664 14091 14112 14152 14616 14724 14784 15138 15312 15372 15631 15921 16104 16704 17052 17178 17248 17568 17661 17864 17934 17996 18502 18788 18816 19404 19459 19488 19632 20041 20097 20184 20416 20496 21228 21472 22176 22736 22904 22968 23424 23548 23722 23912 24156 24766 24949 25578 25767 25872 25984 26176 26796 26901 26912 26994 27328 27753 28182 28224 28304 29232 29448 29568 30276 30624 30744 31262 31493 31842 32208 32879 33408 34104 34356 34496 35136 35322 35583 35728 35868 35992 37004 37149 37576 38808 38918 38976 39264 40082 40194 40368 40491 40832 40992 41209 42273 42456 42944 44352 45472 45808 45936 46893 47096 47444 47824 48312 49532 49898 51156 51301 51534 51744 52352 52983 53592 53802 53824 53988 54656 55506 56364 56448 56608 58377 58464 58896 60123 60552 61248 61488 62524 62986 63684 64416 64757 65758 68208 68712 68992 70272 70644 71166 71456 71736 71984 74008 74298 74847 75152 77616 77836 77952 78528 80164 80388 80736 80982 81984 82418 83027 83259 84546 84912 85888 86681 88704 90944 91616 91872 93786 94192 94479 94888 95648 96624 98637 99064 99796 102312 102602 103068 103488 105966 106749 107184 107604 107648 107976 111012 111447 112728 113216 116754 116928 117792 120246 121104 122496 122976 123627 125048 125972 127368 128832 129514 130471 131516 136213 136416 137424 140679 141288 142332 142912 143472 143968 148016 148596 149694 150304 153903 155232 155672 157056 160328 160776 161472 161964 163968 164836 166054 166518 169092 169824 173362 174643 175131 180369 181888 183232 183744 187572 188384 188958 189776 191296 193248 194271 197274 198128 199592 204624 205204 206136 206976 211932 213498 214368 215208 215952 220451 222024 222894 224541 225456 226432 233508 233856 235584 240492 242208 245952 247254 249081 250096 251944 254736 257664 259028 260043 260942 263032 272426 272832 274439 274848 281358 282576 283437 284664 285824 286944 287936 295911 296032 297192 299388 300608 307806 310464 311344 320656 321552 322944 323928 329672 332108 333036 338184 339648 343969 346724 349286 350262 359107 360738 366464 367488 370881 375144 376768 377916 379552 382592 386496 388542 391413 394548 396256 399184 408639 409248 410408 412272 423864 426996 428736 430416 431904 440902 444048 445788 449082 450912 453299 461709 467016 471168 480984 484416 491904 494508 498162 500192 503888 509472 518056 520086 521884 523929 526064 544852 545664 548878 549696 562716 564311 565152 566874 569328 573888 575872 581189 582813 591822 592064 594384 598776 601216 615612 620928 622688 641312 643104 647856 659344 661353 664216 666072 676368 679296 687938 693448 698572 700524 718214 721476 723521 741762 747243 750288 753536 755832 759104 772992 777084 780129 782826 789096 792512 798368 817278 818496 820816 823317 824544 847728 853992 857472 860832 863808 881804 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32899946912 33235660656 33928070253 35596663872 37012440276 37437870624 38774937432 40841313408 42299931744 44314214208 45237427004 49349920368 49917160832 51699916576 53394995808 56156805936 56399908992 58162406148 64179206784 65799893824 66471321312 67856140506 71193327744 74024880552 74875741248 77549874864 84599863488 88628428416 90474854008 98699840736 101784210759 103399833152 106789991616 112313611872 116324812296 131599787648 132942642624 135712281012 148049761104 149751482496 155099749728 169199726976 180949708016 197399681472 203568421518 206799666304 213579983232 224627223744 232649624592 265885285248 271424562024 296099522208 310199499456 361899416032 394799362944 407136843036 449254447488 465299249184 542849124048 592199044416 620398998912 723798832064 814273686072 930598498368 1085698248096 1184398088832 1447597664128 1628547372144 1861196996736 2171396496192 3257094744288 4342792992384 6514189488576 13028378977152
- Sum of all divisors σ(n): 50203423717200
- Sum of proper divisors (its aliquot sum) s(n): 37175044740048
- 13028378977152 is an abundant number, because the sum of its proper divisors (37175044740048) is greater than itself. Its abundance is 24146665762896
Bases of 13028378977152
- Binary: 101111011001011001111110011010100011100000002
- Hexadecimal: 0xBD967E6A380
- Base-36: 4M95KGKG0
Squares and roots of 13028378977152
- 13028378977152 squared (130283789771522) is 169738658772296193738031104
- 13028378977152 cubed (130283789771523) is 2211419573558960636647072502173881335808
-
The
square root of 13028378977152 is 3609484.5860804005 -
The
cube root of 13028378977152 is 23530.4443069857
Scales and comparisons
How big is 13028378977152?- 13,028,378,977,152 seconds is equal to 414,262 years, 7 weeks, 6 days, 8 hours, 19 minutes, 12 seconds.
-
To count from 1 to 13,028,378,977,152 would take you about one million, thirty-five thousand, six hundred fifty-five 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 13028378977152 cubic inches would be around 1960.9 feet tall.
Recreational maths with 13028378977152
- 13028378977152 backwards is 25177987382031
- 13028378977152 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13028378977152's digits is 63
- More coming soon!
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"Number 13028378977152 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
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The information we have on file for 13028378977152 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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