13768399096957440
13,768,399,096,957,440 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13768399096957440 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1920 divisors.
13768399096957440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 13768399096957440:
29 × 33 × 5 × 132 × 89 × 97 × 136531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 13 × 89 × 97 × 136531)See below for interesting mathematical facts about the number 13768399096957440 from the Numbermatics database.
Names of 13768399096957440
- Cardinal: 13768399096957440 can be written as Thirteen quadrillion, seven hundred sixty-eight trillion, three hundred ninety-nine billion, ninety-six million, nine hundred fifty-seven thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.376839909695744 × 1016
Factors of 13768399096957440
Divisors of 13768399096957440
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 64 65 72 78 80 89 90 96 97 104 108 117 120 128 130 135 144 156 160 169 178 180 192 194 195 208 216 234 240 256 260 267 270 288 291 312 320 338 351 356 360 384 388 390 416 432 445 468 480 485 507 512 520 534 540 576 582 585 624 640 676 702 712 720 768 776 780 801 832 845 864 873 890 936 960 970 1014 1040 1068 1080 1152 1157 1164 1170 1248 1261 1280 1335 1352 1404 1424 1440 1455 1521 1536 1552 1560 1602 1664 1690 1728 1746 1755 1780 1872 1920 1940 2028 2080 2136 2160 2304 2314 2328 2340 2403 2496 2522 2535 2560 2619 2670 2704 2808 2848 2880 2910 3042 3104 3120 3204 3328 3380 3456 3471 3492 3510 3560 3744 3783 3840 3880 4005 4056 4160 4272 4320 4365 4563 4608 4628 4656 4680 4806 4992 5044 5070 5238 5340 5408 5616 5696 5760 5785 5820 6084 6208 6240 6305 6408 6656 6760 6912 6942 6984 7020 7120 7488 7566 7605 7680 7760 8010 8112 8320 8544 8633 8640 8730 9126 9256 9312 9360 9612 9984 10088 10140 10413 10476 10680 10816 11232 11349 11392 11520 11570 11640 12015 12168 12416 12480 12610 12816 13095 13520 13824 13884 13968 14040 14240 14976 15041 15132 15210 15520 16020 16224 16393 16640 17088 17266 17280 17355 17460 18252 18512 18624 18720 18915 19224 19968 20176 20280 20826 20952 21360 21632 22464 22698 22784 22815 23040 23140 23280 24030 24336 24832 24960 25220 25632 25899 26190 27040 27768 27936 28080 28480 29952 30082 30264 30420 31040 31239 32040 32448 32786 33280 34047 34176 34532 34560 34710 34920 36504 37024 37248 37440 37830 38448 40352 40560 41652 41904 42720 43165 43264 44928 45123 45396 45568 45630 46280 46560 48060 48672 49179 49664 49920 50440 51264 51798 52065 52380 54080 55536 55872 56160 56745 56960 59904 60164 60528 60840 62080 62478 64080 64896 65572 68094 68352 69064 69120 69420 69840 73008 74048 74496 74880 75205 75660 76896 77697 80704 81120 81965 83304 83808 85440 86330 86528 89856 90246 90792 91260 92560 93120 96120 97344 98358 99840 100880 102528 103596 104130 104760 108160 111072 111744 112229 112320 113490 113920 120328 121056 121680 124160 124956 128160 129495 129792 131144 135369 136188 136531 136704 138128 138840 139680 146016 147537 148096 148992 149760 150410 151320 153792 155394 156195 161408 162240 163930 166608 167616 170235 170880 172660 179712 180492 181584 182520 185120 186240 192240 194688 196716 201760 205056 207192 208260 209520 216320 222144 223488 224458 224640 225615 226980 227840 233091 240656 242112 243360 245895 248320 249912 256320 258990 259584 262288 270738 272376 273062 276256 277680 279360 292032 295074 296192 299520 300820 302640 307584 310788 312390 322816 324480 327860 333216 335232 336687 340470 341760 345320 360984 363168 365040 370240 372480 384480 388485 389376 393432 403520 406107 409593 410112 414384 416520 419040 432640 442611 444288 446976 448916 449280 451230 453960 466182 481312 484224 486720 491790 499824 512640 517980 524576 541476 544752 546124 552512 555360 558720 561145 584064 590148 592384 601640 605280 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264776905710720 286841647853280 305964424376832 344209977423936 353035874280960 382455530471040 430262471779920 458946636565248 509940707294720 529553811421440 573683295706560 688419954847872 764911060942080 860524943559840 917893273130496 1059107622842880 1147366591413120 1376839909695744 1529822121884160 1721049887119680 2294733182826240 2753679819391488 3442099774239360 4589466365652480 6884199548478720 13768399096957440
- Sum of all divisors σ(n): 54105448617158400
- Sum of proper divisors (its aliquot sum) s(n): 40337049520200960
- 13768399096957440 is an abundant number, because the sum of its proper divisors (40337049520200960) is greater than itself. Its abundance is 26568650423243520
Bases of 13768399096957440
- Binary: 1100001110101001001001001110010100110011001010000000002
- Hexadecimal: 0x30EA49394CCA00
- Base-36: 3RKHN84SQO0
Squares and roots of 13768399096957440
- 13768399096957440 squared (137683990969574402) is 189568813693098449277865171353600
- 13768399096957440 cubed (137683990969574403) is 2610059083263349875458680857351390566006390784000
-
The
square root of 13768399096957440 is 117338821.7810177263 -
The
cube root of 13768399096957440 is 239677.8031633557
Scales and comparisons
How big is 13768399096957440?- 13,768,399,096,957,440 seconds is equal to 437,792,502 years, 43 weeks, 14 hours, 24 minutes.
-
To count from 1 to 13,768,399,096,957,440 would take you about one billion, three hundred thirteen million, three hundred seventy-seven thousand, five hundred 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 13768399096957440 cubic inches would be around 19973.2 feet tall.
Recreational maths with 13768399096957440
- 13768399096957440 backwards is 04475969099386731
- 13768399096957440 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13768399096957440's digits is 90
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The information we have on file for 13768399096957440 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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