13138974584736
13,138,974,584,736 is an even composite number composed of seven prime numbers multiplied together.
13138974584736 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 13138974584736:
25 × 3 × 73 × 112 × 133 × 19 × 79
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 11 × 11 × 13 × 13 × 13 × 19 × 79)See below for interesting mathematical facts about the number 13138974584736 from the Numbermatics database.
Names of 13138974584736
- Cardinal: 13138974584736 can be written as Thirteen trillion, one hundred thirty-eight billion, nine hundred seventy-four million, five hundred eighty-four thousand, seven hundred thirty-six.
Scientific notation
- Scientific notation: 1.3138974584736 × 1013
Factors of 13138974584736
Divisors of 13138974584736
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 19 21 22 24 26 28 32 33 38 39 42 44 48 49 52 56 57 66 76 77 78 79 84 88 91 96 98 104 112 114 121 132 133 143 147 152 154 156 158 168 169 176 182 196 208 209 224 228 231 237 242 247 264 266 273 286 294 304 308 312 316 336 338 343 352 363 364 392 399 416 418 429 456 462 474 484 494 507 528 532 539 546 553 572 588 608 616 624 627 632 637 672 676 686 726 728 741 784 798 836 847 858 869 912 924 931 948 968 988 1001 1014 1027 1029 1056 1064 1078 1092 1106 1144 1176 1183 1232 1248 1254 1264 1274 1352 1372 1452 1456 1463 1482 1501 1568 1573 1596 1617 1659 1672 1694 1716 1729 1738 1824 1848 1859 1862 1896 1911 1936 1976 2002 2028 2054 2058 2128 2156 2184 2197 2212 2288 2299 2352 2366 2464 2508 2528 2541 2548 2607 2704 2717 2744 2793 2904 2912 2926 2964 3002 3003 3081 3146 3192 3211 3234 3318 3344 3388 3432 3458 3476 3549 3696 3718 3724 3773 3792 3822 3871 3872 3952 4004 4056 4108 4116 4256 4312 4368 4389 4394 4424 4459 4503 4576 4598 4704 4719 4732 5016 5082 5096 5187 5214 5408 5434 5488 5577 5586 5808 5852 5928 5929 6004 6006 6083 6162 6292 6384 6422 6468 6517 6591 6636 6688 6776 6864 6897 6916 6952 7007 7098 7189 7392 7436 7448 7546 7584 7644 7742 7904 8008 8112 8151 8216 8232 8281 8624 8736 8778 8788 8848 8918 9006 9196 9438 9464 9559 9633 10032 10164 10192 10241 10374 10428 10507 10868 10976 11011 11154 11172 11297 11319 11613 11616 11704 11856 11858 12008 12012 12103 12166 12324 12584 12768 12844 12936 13013 13034 13182 13272 13351 13377 13552 13728 13794 13832 13904 14014 14196 14378 14872 14896 15092 15288 15379 15484 16016 16093 16224 16302 16432 16464 16511 16562 17248 17556 17576 17696 17787 17836 18012 18249 18392 18876 18928 19019 19118 19266 19513 19551 20064 20328 20384 20449 20482 20748 20856 21014 21021 21567 21736 22022 22308 22344 22477 22594 22638 23226 23408 23712 23716 24016 24024 24167 24206 24332 24648 24843 25168 25688 25872 26026 26068 26364 26544 26702 26754 27097 27104 27588 27664 27808 28028 28392 28677 28756 29744 29792 29887 30184 30576 30723 30758 30968 31521 32032 32186 32604 32864 32928 33022 33033 33124 33891 35112 35152 35321 35574 35672 36024 36309 36498 36784 37752 37856 38038 38236 38532 39026 39039 39102 40053 40656 40898 40964 41496 41503 41712 41743 42028 42042 42581 43134 43472 44044 44616 44688 44954 45188 45276 46137 46452 46816 47432 48032 48048 48279 48334 48412 48664 49049 49296 49533 49686 50323 50336 51376 51744 52052 52136 52728 53088 53404 53508 54194 55176 55328 56056 56784 57057 57354 57512 57967 58539 59488 59774 60368 61152 61347 61446 61516 61936 63042 64372 65208 66044 66066 66248 66913 67431 67782 70224 70304 70642 71148 71344 71687 72048 72501 72618 72996 73549 73568 75504 76076 76472 77064 77077 78052 78078 78204 79079 80106 81291 81312 81796 81928 82992 83006 83424 83486 84056 84084 84721 85162 86268 86944 88088 89232 89376 89661 89908 90376 90552 91091 92274 92904 93457 94864 96096 96558 96668 96824 97328 98098 98592 99066 99372 100646 102752 104104 104272 105456 105963 106808 107016 107653 108388 110352 112112 112651 113568 114114 114708 115024 115577 115934 117078 119548 120736 122694 122892 123032 123872 124267 124509 125229 126084 127743 128744 130416 132088 132132 132496 133133 133826 134862 135564 136591 140448 141284 142296 142688 143143 143374 144096 145002 145236 145992 146861 147098 147147 150969 151008 152152 152944 154128 154154 156104 156156 156408 157339 158158 160212 162582 163592 163856 165984 166012 166972 168112 168168 169169 169442 170324 172536 173563 173901 176176 178464 179322 179816 180752 181104 181621 182182 184548 185808 186914 189728 193116 193336 193648 194656 196196 198132 198744 200739 201292 208208 208544 209209 210912 211926 213616 214032 214643 215061 215306 216776 220647 220704 224224 225302 228228 229416 230048 231154 231231 231868 234156 237237 239096 245388 245784 246064 247247 248534 249018 250458 252168 253669 254163 255486 257488 260832 264176 264264 264992 265837 266266 267652 269724 271128 273182 273273 280371 282568 284592 286286 286748 290004 290472 291984 292201 293722 294196 294294 298067 301938 304304 305888 308256 308308 312208 312312 312816 314678 316316 320424 322959 325164 327184 327712 332024 333944 336224 336336 337953 338338 338884 340648 345072 346731 347126 347802 352261 352352 358644 359632 361504 362208 363242 364364 369096 371616 372801 373828 386232 386672 387296 388531 392392 396264 397488 399399 401478 402584 409773 416416 418418 423852 427232 428064 429286 429429 430122 430612 433552 440583 441294 450604 456456 458832 459173 462308 462462 463736 468312 468391 472017 474474 478192 490776 491568 492128 494494 497068 498036 500916 504336 507338 507507 508326 510972 514843 514976 520689 528352 528528 531674 532532 535304 539448 539539 542256 544863 546364 546546 553553 560742 565136 569184 572572 573496 580008 580944 583968 584402 587444 588392 588588 596134 603876 608608 616616 624416 624624 625632 627627 629356 632632 637637 640848 643929 645918 650328 654199 654368 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1108026192 1108213106 1122605484 1131110071 1131402272 1160789344 1163049888 1176062888 1177960784 1193258976 1197064011 1208959752 1250497248 1259970712 1266529264 1282977696 1289145858 1292697224 1309706398 1363954592 1374513504 1388310924 1392135472 1428770616 1458913456 1473309552 1484965482 1495104072 1496807312 1504003501 1523536014 1586641056 1596085348 1599193596 1611946336 1619696078 1640731092 1662319659 1697103408 1718861144 1732459729 1741184016 1764094332 1766941176 1777458683 1827649824 1851081232 1875121248 1889956068 1899793896 1905027488 1914186274 1939045836 1964559597 1979953976 1993472096 2016107808 2031381352 2045931888 2058110054 2088203208 2132258128 2159949792 2187641456 2188370184 2216052384 2216426212 2245210968 2262220142 2352125776 2355921568 2394128022 2417919504 2429544117 2519941424 2533058528 2578291716 2585394448 2619412796 2776621848 2784270944 2793149359 2857541232 2871279411 2917826912 2946619104 2969930964 2990208144 2993614624 3008007002 3047072028 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12188288112 12348660324 12442210781 12768682784 12793548768 12957568624 13125848736 13298557272 13573320852 13859677832 14112754656 14219669464 14406770378 15119648544 15313490192 15512366688 15716476776 16464880432 16758896154 17731409696 18048042012 18097761136 19153024176 19436352936 19552045513 20626333728 20789516748 20955302368 21056049014 21329504196 21610155567 22345194872 22970235288 23759447712 24064056016 24376576224 24697320648 24884421562 25915137248 26597114544 27146641704 27719355664 28439338928 28813540756 30626980384 31432953552 31584073521 32929760864 33517792308 36096084024 36195522272 37326632343 38306048352 38872705872 39104091026 41579033496 42112098028 42659008392 43220311134 44690389744 45940470576 48128112032 49394641296 49768843124 53194229088 54293283408 55438711328 56878677856 57627081512 58656136539 62865907104 63168147042 67035584616 72192168048 74653264686 77745411744 78208182052 83158066992 84224196056 85318016784 86440622268 89380779488 91880941152 98789282592 99537686248 108586566816 115254163024 117312273078 126336294084 134071169232 136864318591 144384336096 149306529372 156416364104 166316133984 168448392112 170636033568 172881244536 199075372496 230508326048 234624546156 252672588168 268142338464 273728637182 298613058744 312832728208 336896784224 345762489072 398150744992 410592955773 469249092312 505345176336 547457274364 597226117488 625665456416 691524978144 821185911546 938498184624 1010690352672 1094914548728 1194452234976 1642371823092 1876996369248 2189829097456 3284743646184 4379658194912 6569487292368 13138974584736
- Sum of all divisors σ(n): 51051571200000
- Sum of proper divisors (its aliquot sum) s(n): 37912596615264
- 13138974584736 is an abundant number, because the sum of its proper divisors (37912596615264) is greater than itself. Its abundance is 24773622030528
Bases of 13138974584736
- Binary: 101111110011001001111110100110101111101000002
- Hexadecimal: 0xBF327E9AFA0
- Base-36: 4NNYM89EO
Squares and roots of 13138974584736
- 13138974584736 squared (131389745847362) is 172632653138338543644189696
- 13138974584736 cubed (131389745847363) is 2268216042080175593638400323140810080256
-
The
square root of 13138974584736 is 3624772.3493670605 -
The
cube root of 13138974584736 is 23596.8387180489
Scales and comparisons
How big is 13138974584736?- 13,138,974,584,736 seconds is equal to 417,778 years, 39 weeks, 2 hours, 25 minutes, 36 seconds.
-
To count from 1 to 13,138,974,584,736 would take you about one million, forty-four thousand, four hundred forty-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 13138974584736 cubic inches would be around 1966.4 feet tall.
Recreational maths with 13138974584736
- 13138974584736 backwards is 63748547983131
- The number of decimal digits it has is: 14
- The sum of 13138974584736's digits is 69
- More coming soon!
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Cite this page
MLA style:
"Number 13138974584736 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
APA style:
Numbermatics. (2024). Number 13138974584736 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/13138974584736/
Chicago style:
Numbermatics. 2024. "Number 13138974584736 - Facts about the integer". https://numbermatics.com/n/13138974584736/
The information we have on file for 13138974584736 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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