138316074024960
138,316,074,024,960 is an even composite number composed of six prime numbers multiplied together.
What does the number 138316074024960 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.
138316074024960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138316074024960:
215 × 35 × 5 × 132 × 61 × 337
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 13 × 61 × 337)See below for interesting mathematical facts about the number 138316074024960 from the Numbermatics database.
Names of 138316074024960
- Cardinal: 138316074024960 can be written as One hundred thirty-eight trillion, three hundred sixteen billion, seventy-four million, twenty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3831607402496 × 1014
Factors of 138316074024960
Divisors of 138316074024960
- Number of divisors d(n): 2304
-
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 61 64 65 72 78 80 81 90 96 104 108 117 120 122 128 130 135 144 156 160 162 169 180 183 192 195 208 216 234 240 243 244 256 260 270 288 305 312 320 324 337 338 351 360 366 384 390 405 416 432 468 480 486 488 507 512 520 540 549 576 585 610 624 640 648 674 676 702 720 732 768 780 793 810 832 845 864 915 936 960 972 976 1011 1014 1024 1040 1053 1080 1098 1152 1170 1215 1220 1248 1280 1296 1348 1352 1404 1440 1464 1521 1536 1560 1586 1620 1647 1664 1685 1690 1728 1755 1830 1872 1920 1944 1952 2022 2028 2048 2080 2106 2160 2196 2304 2340 2379 2430 2440 2496 2535 2560 2592 2696 2704 2745 2808 2880 2928 3033 3042 3072 3120 3159 3172 3240 3294 3328 3370 3380 3456 3510 3660 3744 3840 3888 3904 3965 4044 4056 4096 4160 4212 4320 4381 4392 4563 4608 4680 4758 4860 4880 4941 4992 5055 5070 5120 5184 5265 5392 5408 5490 5616 5760 5856 6066 6084 6144 6240 6318 6344 6480 6588 6656 6740 6760 6912 7020 7137 7320 7488 7605 7680 7776 7808 7930 8088 8112 8192 8235 8320 8424 8640 8762 8784 9099 9126 9216 9360 9516 9720 9760 9882 9984 10110 10140 10240 10309 10368 10530 10784 10816 10980 11232 11520 11712 11895 12132 12168 12288 12480 12636 12688 12960 13143 13176 13312 13480 13520 13689 13824 14040 14274 14640 14823 14976 15165 15210 15360 15552 15616 15795 15860 16176 16224 16384 16470 16640 16848 17280 17524 17568 18198 18252 18432 18720 19032 19440 19520 19764 19968 20220 20280 20480 20557 20618 20736 21060 21411 21568 21632 21905 21960 22464 22815 23040 23424 23790 24264 24336 24576 24705 24960 25272 25376 25920 26286 26352 26624 26960 27040 27297 27378 27648 28080 28548 29280 29646 29952 30330 30420 30720 30927 31104 31232 31590 31720 32352 32448 32768 32940 33280 33696 34560 35048 35136 35685 36396 36504 36864 37440 38064 38880 39040 39429 39528 39936 40440 40560 40960 41067 41114 41236 41472 42120 42822 43136 43264 43810 43920 44928 45495 45630 46080 46848 47580 48528 48672 49152 49410 49920 50544 50752 51545 51840 52572 52704 53248 53920 54080 54594 54756 55296 56160 56953 57096 58560 59292 59904 60660 60840 61440 61671 61854 62208 62464 63180 63440 64233 64704 64896 65715 65880 66560 67392 68445 69120 70096 70272 71370 72792 73008 73728 74115 74880 76128 77760 78080 78858 79056 79872 80880 81120 81891 81920 82134 82228 82472 82944 84240 85644 86272 86528 87620 87840 89856 90990 91260 92160 92781 93696 95160 97056 97344 98304 98820 99840 101088 101504 102785 103090 103680 105144 105408 106496 107055 107840 108160 109188 109512 110592 112320 113906 114192 117120 118287 118584 119808 121320 121680 122880 123342 123708 124416 124928 126360 126880 128466 129408 129792 131430 131760 133120 134784 136485 136890 138240 140192 140544 142740 145584 146016 147456 148230 149760 152256 154635 155520 156160 157716 158112 159744 161760 162240 163782 163840 164268 164456 164944 165888 168480 170859 171288 172544 173056 175240 175680 179712 181980 182520 184320 185013 185562 187392 190320 192699 194112 194688 197145 197640 199680 202176 203008 205335 205570 206180 207360 210288 210816 212992 214110 215680 216320 218376 219024 221184 224640 227812 228384 234240 236574 237168 239616 242640 243360 245760 246684 247416 248832 249856 252720 253760 256932 258816 259584 262860 263520 266240 267241 269568 272970 273780 276480 278343 280384 281088 284765 285480 291168 292032 294912 296460 299520 304512 308355 309270 311040 312320 315432 316224 319488 321165 323520 324480 327564 328536 328912 329888 331776 336960 341718 342576 345088 346112 350480 351360 354861 359424 363960 365040 368640 370026 371124 374784 380640 385398 388224 389376 394290 395280 399360 404352 406016 409455 410670 411140 412360 414720 420576 421632 425984 428220 431360 432640 436752 438048 442368 449280 455624 456768 463905 468480 473148 474336 479232 485280 486720 491520 493368 494832 497664 499712 505440 507520 512577 513864 517632 519168 525720 527040 532480 534482 539136 545940 547560 552960 555039 556686 560768 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88664150016 90049527360 90937589760 94478192640 96052829184 98515722240 102304788480 102608363520 106725365760 108059432832 110830187520 113373831168 113840390144 118218866688 120066036480 125970923520 128070438912 131354296320 132996225024 135074291040 136406384640 136811151360 141717288960 142300487680 144079243776 147773583360 151165108224 160088048640 163687661568 166245281280 170760585216 174421278720 177328300032 180099054720 188956385280 192105658368 197031444480 204609576960 205216727040 213450731520 216118865664 221660375040 226747662336 236437733376 240132072960 251941847040 256140877824 265992450048 270148582080 272812769280 283434577920 284600975360 288158487552 295547166720 320176097280 332490562560 341521170432 354656600064 360198109440 377912770560 384211316736 394062888960 409219153920 410433454080 426901463040 432237731328 443320750080 453495324672 480264145920 512281755648 531984900096 540297164160 566869155840 569201950720 576316975104 591094333440 640352194560 664981125120 709313200128 720396218880 755825541120 768422633472 818438307840 853802926080 864475462656 886641500160 960528291840 1024563511296 1063969800192 1080594328320 1133738311680 1152633950208 1182188666880 1280704389120 1329962250240 1440792437760 1536845266944 1707605852160 1728950925312 1773283000320 1921056583680 2127939600384 2161188656640 2267476623360 2305267900416 2561408778240 2659924500480 2881584875520 3073690533888 3457901850624 3546566000640 3842113167360 4322377313280 4610535800832 5122817556480 5319849000960 5763169751040 6915803701248 7684226334720 8644754626560 9221071601664 10639698001920 11526339502080 13831607402496 15368452669440 17289509253120 23052679004160 27663214804992 34579018506240 46105358008320 69158037012480 138316074024960
- Sum of all divisors σ(n): 548890124721120
- Sum of proper divisors (its aliquot sum) s(n): 410574050696160
- 138316074024960 is an abundant number, because the sum of its proper divisors (410574050696160) is greater than itself. Its abundance is 272257976671200
Bases of 138316074024960
- Binary: 111110111001100001110000111010110000000000000002
- Hexadecimal: 0x7DCC38758000
- Base-36: 1D11IZ9C00
Squares and roots of 138316074024960
- 138316074024960 squared (1383160740249602) is 19131336333678214414703001600
- 138316074024960 cubed (1383160740249603) is 2646171332525442752060535289118705319936000
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The
square root of 138316074024960 is 11760785.4340158761 -
The
cube root of 138316074024960 is 51715.9155736859
Scales and comparisons
How big is 138316074024960?- 138,316,074,024,960 seconds is equal to 4,398,023 years, 16 weeks, 2 days, 9 hours, 36 minutes.
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To count from 1 to 138,316,074,024,960 would take you about ten million, nine hundred ninety-five thousand and fifty-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 138316074024960 cubic inches would be around 4309.7 feet tall.
Recreational maths with 138316074024960
- 138316074024960 backwards is 069420470613831
- 138316074024960 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138316074024960's digits is 54
- More coming soon!
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The information we have on file for 138316074024960 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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