13138759146240
13,138,759,146,240 is an even composite number composed of six prime numbers multiplied together.
What does the number 13138759146240 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1944 divisors.
13138759146240 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 13138759146240:
28 × 35 × 5 × 72 × 132 × 5101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 13 × 13 × 5101)See below for interesting mathematical facts about the number 13138759146240 from the Numbermatics database.
Names of 13138759146240
- Cardinal: 13138759146240 can be written as Thirteen trillion, one hundred thirty-eight billion, seven hundred fifty-nine million, one hundred forty-six thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.313875914624 × 1013
Factors of 13138759146240
Divisors of 13138759146240
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 32 35 36 39 40 42 45 48 49 52 54 56 60 63 64 65 70 72 78 80 81 84 90 91 96 98 104 105 108 112 117 120 126 128 130 135 140 144 147 156 160 162 168 169 180 182 189 192 195 196 208 210 216 224 234 240 243 245 252 256 260 270 273 280 288 294 312 315 320 324 336 338 351 360 364 378 384 390 392 405 416 420 432 441 448 455 468 480 486 490 504 507 520 540 546 560 567 576 585 588 624 630 637 640 648 672 676 702 720 728 735 756 768 780 784 810 819 832 840 845 864 882 896 910 936 945 960 972 980 1008 1014 1040 1053 1080 1092 1120 1134 1152 1170 1176 1183 1215 1248 1260 1274 1280 1296 1323 1344 1352 1365 1404 1440 1456 1470 1512 1521 1560 1568 1620 1638 1664 1680 1690 1701 1728 1755 1764 1792 1820 1872 1890 1911 1920 1944 1960 2016 2028 2080 2106 2160 2184 2205 2240 2268 2304 2340 2352 2366 2430 2457 2496 2520 2535 2548 2592 2646 2688 2704 2730 2808 2835 2880 2912 2940 3024 3042 3120 3136 3159 3185 3240 3276 3328 3360 3380 3402 3456 3510 3528 3549 3640 3744 3780 3822 3840 3888 3920 3969 4032 4056 4095 4160 4212 4320 4368 4410 4480 4536 4563 4680 4704 4732 4860 4914 4992 5040 5070 5096 5101 5184 5265 5292 5376 5408 5460 5616 5670 5733 5760 5824 5880 5915 6048 6084 6240 6272 6318 6370 6480 6552 6615 6720 6760 6804 6912 7020 7056 7098 7280 7371 7488 7560 7605 7644 7776 7840 7938 8064 8112 8190 8281 8320 8424 8505 8640 8736 8820 8960 9072 9126 9360 9408 9464 9555 9720 9828 9984 10080 10140 10192 10202 10368 10530 10584 10647 10816 10920 11232 11340 11466 11520 11648 11760 11830 11907 12096 12168 12285 12480 12544 12636 12740 12960 13104 13230 13440 13520 13608 13689 14040 14112 14196 14560 14742 14976 15120 15210 15288 15303 15552 15680 15795 15876 16128 16224 16380 16562 16640 16848 17010 17199 17280 17472 17640 17745 18144 18252 18720 18816 18928 19110 19440 19656 19845 20160 20280 20384 20404 20736 21060 21168 21294 21632 21840 22113 22464 22680 22815 22932 23296 23520 23660 23814 24192 24336 24570 24843 24960 25272 25480 25505 25920 26208 26460 26880 27040 27216 27378 28080 28224 28392 28665 29120 29484 29952 30240 30420 30576 30606 31104 31360 31590 31752 31941 32448 32760 33124 33696 34020 34398 34560 34944 35280 35490 35707 36288 36504 36855 37440 37632 37856 38220 38880 39312 39690 40320 40560 40768 40808 41067 41405 42120 42336 42588 43264 43680 44226 44928 45360 45630 45864 45909 47040 47320 47628 48384 48672 49140 49686 49920 50544 50960 51010 51597 51840 52416 52920 53235 54080 54432 54756 56160 56448 56784 57330 58240 58968 59535 60480 60840 61152 61212 62208 62720 63180 63504 63882 64896 65520 66248 66313 67392 68040 68445 68796 69888 70560 70980 71414 72576 73008 73710 74529 74880 75712 76440 76515 77760 78624 79380 80640 81120 81536 81616 82134 82810 84240 84672 85176 85995 87360 88452 89856 90720 91260 91728 91818 94080 94640 95256 95823 97344 98280 99372 101088 101920 102020 103194 103680 104832 105840 106470 107121 108160 108864 109512 110565 112320 112896 113568 114660 116480 117936 119070 120960 121680 122304 122424 124215 126360 127008 127764 129792 131040 132496 132626 134784 136080 136890 137592 137727 141120 141960 142828 145152 146016 147420 149058 149760 151424 152880 153030 154791 155520 157248 158760 159705 162240 163072 163232 164268 165620 168480 169344 170352 171990 174720 176904 178535 181440 182520 183456 183636 188160 189280 190512 191646 194688 196560 198744 198939 202176 203840 204040 205335 206388 209664 211680 212940 214242 216320 217728 219024 221130 223587 224640 227136 229320 229545 235872 238140 241920 243360 244608 244848 248430 249949 252720 254016 255528 257985 262080 264992 265252 269568 272160 273780 275184 275454 282240 283920 285656 287469 292032 294840 298116 302848 305760 306060 309582 311040 314496 317520 319410 321363 324480 326464 328536 331240 331565 336960 338688 340704 343980 349440 353808 357070 362880 365040 366912 367272 372645 378560 381024 383292 389376 393120 397488 397878 404352 407680 408080 410670 412776 413181 423360 425880 428484 435456 438048 442260 447174 449280 454272 458640 459090 464191 471744 476280 479115 486720 489216 489696 496860 499898 505440 508032 511056 515970 524160 529984 530504 535605 544320 547560 550368 550908 564480 567840 571312 574938 584064 589680 596232 596817 611520 612120 619164 628992 635040 638820 642726 648960 652928 657072 662480 663130 670761 673920 681408 687960 688635 707616 714140 725760 730080 733824 734544 745290 749847 757120 762048 766584 773955 786240 794976 795756 808704 815360 816160 821340 825552 826362 846720 851760 856968 862069 876096 884520 894348 908544 917280 918180 928382 943488 952560 958230 964089 973440 979392 993720 994695 999796 1010880 1016064 1022112 1031940 1048320 1059968 1061008 1071210 1088640 1095120 1100736 1101816 1117935 1135680 1142624 1149876 1168128 1179360 1192464 1193634 1223040 1224240 1238328 1239543 1249745 1270080 1277640 1285452 1305856 1314144 1324960 1326260 1341522 1347840 1362816 1375920 1377270 1392573 1415232 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17379311040 17875862784 18047746080 18248276592 18716181120 19436034240 19551724920 20275862880 20529311166 20625995520 20855173248 21055703760 22344828480 22459417344 22810345740 23172414720 23462069904 24063661440 24331035456 25266844512 25914712320 26068966560 26813794176 27034483840 27372414888 28074271680 28876393728 29327587380 29793104640 30413794320 31282759872 31583555640 32441380608 33517242720 33689126016 34215518610 34758622080 36095492160 36496553184 37432362240 38872068480 39103449840 40551725760 41058622332 41710346496 42111407520 44689656960 45620691480 46924139808 48127322880 48662070912 50533689024 51323277915 52137933120 53627588352 54068967680 54744829776 56148543360 58655174760 60827588640 62565519744 63167111280 67034485440 67378252032 68431037220 69517244160 72190984320 72993106368 77744136960 78206899680 81103451520 82117244664 84222815040 89379313920 91241382960 93848279616 97324141824 101067378048 102646555830 104275866240 109489659552 112297086720 117310349520 121655177280 125131039488 126334222560 134068970880 136862074440 144381968640 145986212736 156413799360 162206903040 164234489328 168445630080 182482765920 187696559232 202134756096 205293111660 208551732480 218979319104 234620699040 243310354560 252668445120 268137941760 273724148880 291972425472 312827598720 328468978656 336891260160 364965531840 375393118464 410586223320 437958638208 469241398080 486620709120 505336890240 547448297760 625655197440 656937957312 729931063680 821172446640 875917276416 938482796160 1010673780480 1094896595520 1313875914624 1459862127360 1642344893280 1876965592320 2189793191040 2627751829248 3284689786560 4379586382080 6569379573120 13138759146240
- Sum of all divisors σ(n): 59393638847088
- Sum of proper divisors (its aliquot sum) s(n): 46254879700848
- 13138759146240 is an abundant number, because the sum of its proper divisors (46254879700848) is greater than itself. Its abundance is 33116120554608
Bases of 13138759146240
- Binary: 101111110011000110110001001001011011000000002
- Hexadecimal: 0xBF31B125B00
- Base-36: 4NNV1YO00
Squares and roots of 13138759146240
- 13138759146240 squared (131387591462402) is 172626991902905253706137600
- 13138759146240 cubed (131387591462403) is 2268104468752194824159663049223962624000
-
The
square root of 13138759146240 is 3624742.6317243545 -
The
cube root of 13138759146240 is 23596.7097456495
Scales and comparisons
How big is 13138759146240?- 13,138,759,146,240 seconds is equal to 417,771 years, 46 weeks, 5 days, 14 hours, 24 minutes.
-
To count from 1 to 13,138,759,146,240 would take you about one million, forty-four thousand, four hundred twenty-nine 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 13138759146240 cubic inches would be around 1966.4 feet tall.
Recreational maths with 13138759146240
- 13138759146240 backwards is 04264195783131
- 13138759146240 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13138759146240's digits is 54
- More coming soon!
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"Number 13138759146240 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 13138759146240 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/13138759146240/
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The information we have on file for 13138759146240 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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