13528319540120
13,528,319,540,120 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13528319540120 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1440 divisors.
13528319540120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 13528319540120:
23 × 5 × 74 × 112 × 17 × 31 × 472
(2 × 2 × 2 × 5 × 7 × 7 × 7 × 7 × 11 × 11 × 17 × 31 × 47 × 47)See below for interesting mathematical facts about the number 13528319540120 from the Numbermatics database.
Names of 13528319540120
- Cardinal: 13528319540120 can be written as Thirteen trillion, five hundred twenty-eight billion, three hundred nineteen million, five hundred forty thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.352831954012 × 1013
Factors of 13528319540120
Divisors of 13528319540120
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 17 20 22 28 31 34 35 40 44 47 49 55 56 62 68 70 77 85 88 94 98 110 119 121 124 136 140 154 155 170 187 188 196 217 220 235 238 242 245 248 280 308 310 329 340 341 343 374 376 385 392 434 440 470 476 484 490 517 527 539 595 605 616 620 658 680 682 686 748 770 799 833 847 868 935 940 952 968 980 1034 1054 1078 1085 1190 1210 1240 1309 1316 1364 1372 1457 1496 1519 1540 1598 1645 1666 1694 1705 1715 1736 1870 1880 1960 2057 2068 2108 2156 2170 2209 2303 2380 2387 2401 2420 2585 2618 2632 2635 2695 2728 2744 2914 3038 3080 3196 3290 3332 3388 3410 3430 3619 3689 3740 3751 3773 3995 4114 4136 4165 4216 4235 4312 4340 4418 4606 4760 4774 4802 4840 5170 5236 5270 5390 5593 5687 5797 5828 5831 5929 6076 6392 6545 6580 6664 6776 6820 6860 7238 7285 7378 7480 7502 7546 7595 7990 8228 8330 8470 8680 8789 8836 9163 9212 9548 9604 10199 10285 10340 10472 10540 10633 10780 11045 11186 11374 11515 11594 11656 11662 11858 11935 12005 12152 13090 13160 13640 13720 14399 14476 14570 14756 15004 15092 15190 15463 15980 16027 16121 16456 16660 16709 16940 17578 17672 18095 18326 18424 18445 18755 18865 19096 19208 20398 20570 20680 21080 21266 21560 22090 22372 22748 23030 23188 23324 23716 23870 24010 24299 24769 25333 25823 26180 26257 26411 27965 28435 28798 28952 28985 29140 29155 29512 29645 30008 30184 30380 30926 31960 32054 32242 33320 33418 33880 35156 36190 36652 36890 37510 37553 37730 39151 39809 40579 40796 40817 41140 41503 42532 43945 44180 44744 45496 45815 46060 46376 46648 47432 47740 48020 48598 49538 50666 50995 51646 52360 52514 52822 53165 55930 56870 57596 57970 58280 58310 59290 60760 61523 61852 63767 64108 64141 64484 66836 68479 70312 71393 71995 72380 73304 73780 74431 75020 75106 75460 77315 78302 79618 80135 80605 81158 81592 81634 82280 83006 83545 85064 87890 88360 91630 92120 95480 96040 96679 97196 99076 100793 101332 101990 103292 105028 105644 106330 108241 111860 112189 112847 113740 115192 115940 116620 116963 118580 121495 123046 123704 123845 126665 127534 128216 128282 128968 129115 131285 132055 133672 136958 142786 143990 144760 147560 148862 150040 150212 150920 154630 156604 159236 160270 161210 162316 163268 166012 167090 170093 173383 175780 176297 177331 180761 183260 183799 187765 193358 194392 195755 198152 199045 201586 202664 202895 203980 204085 206584 207515 210056 211288 212660 216482 223720 224378 225694 227480 231880 233240 233926 237160 242990 246092 247690 253330 255068 256564 258230 262570 262871 264110 267289 272459 273916 274057 278663 284053 285572 287980 290521 297724 300424 307615 309260 313208 318472 318835 320540 320705 322420 324632 326536 332024 334180 340186 342395 346766 351560 352594 354662 356965 361522 366520 367598 372155 375530 386716 391510 398090 403172 405790 407960 408170 413083 415030 425320 430661 432964 446369 448756 448987 451388 467852 479353 483395 485980 492184 495380 499751 503965 506660 510136 513128 516460 525140 525742 528220 534578 541205 544918 547832 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4232890970 4392311539 4453034740 4642525580 4930145605 4959061415 5019784616 5134087112 5139939035 5167425340 5233392472 5590214686 5634452120 5667498760 5684167874 5874216040 6124182680 6234248636 6274730770 6417608890 6541740590 6576723160 6902203847 7195914649 7234395476 7792810795 7888232968 7934498264 7986020980 8120239820 8223902456 8465781940 8784623078 8906069480 9042994345 9285051160 9860291210 9918122830 10279878070 10334850680 10909935113 11180429372 11368335748 12468497272 12549461540 12835217780 13083481180 13804407694 13975536715 14210419685 14391829298 14468790952 15585621590 15972041960 16240479640 16931563880 17569246156 18085988690 19720582420 19836245660 19894587559 20559756140 21819870226 21961557695 22360858744 22736671496 25098923080 25670435560 26166962360 27608815388 27951073430 28420839370 28783658596 30746180773 31171243180 34511019235 35138492312 35979573245 36171977380 39441164840 39672491320 39789175118 41119512280 43639740452 43923115390 48315426929 54549675565 55217630776 55902146860 56841678740 57567317192 61492361546 62342486360 69022038470 71959146490 72343954760 79578350236 87279480904 87846230780 96630853858 99472937795 109099351130 111804293720 113683357480 122984723092 138044076940 143918292980 153730903865 159156700472 175692461560 193261707716 198945875590 218198702260 241577134645 245969446184 276088153880 287836585960 307461807730 338207988503 386523415432 397891751180 436397404520 483154269290 614923615460 676415977006 795783502360 966308538580 1229847230920 1352831954012 1691039942515 1932617077160 2705663908024 3382079885030 6764159770060 13528319540120
- Sum of all divisors σ(n): 43587433895040
- Sum of proper divisors (its aliquot sum) s(n): 30059114354920
- 13528319540120 is an abundant number, because the sum of its proper divisors (30059114354920) is greater than itself. Its abundance is 16530794814800
Bases of 13528319540120
- Binary: 110001001101110011101010111000111011100110002
- Hexadecimal: 0xC4DCEAE3B98
- Base-36: 4SMTO5VO8
Squares and roots of 13528319540120
- 13528319540120 squared (135283195401202) is 183015429579592608289614400
- 13528319540120 cubed (135283195401203) is 2475891212125058519513507579580129728000
-
The
square root of 13528319540120 is 3678086.3965002235 -
The
cube root of 13528319540120 is 23827.6539536131
Scales and comparisons
How big is 13528319540120?- 13,528,319,540,120 seconds is equal to 430,158 years, 37 weeks, 1 day, 10 hours, 55 minutes, 20 seconds.
-
To count from 1 to 13,528,319,540,120 would take you about one million, seventy-five thousand, three hundred ninety-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 13528319540120 cubic inches would be around 1985.6 feet tall.
Recreational maths with 13528319540120
- 13528319540120 backwards is 02104591382531
- 13528319540120 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13528319540120's digits is 44
- More coming soon!
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"Number 13528319540120 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 13528319540120 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/13528319540120/
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The information we have on file for 13528319540120 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 13528319540120, math, Factors of 13528319540120, curriculum, school, college, exams, university, Prime factorization of 13528319540120, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, five hundred twenty-eight billion, three hundred nineteen million, five hundred forty thousand, one hundred twenty.