138339431739432
138,339,431,739,432 is an even composite number composed of six prime numbers multiplied together.
138339431739432 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138339431739432:
23 × 33 × 77 × 11 × 19 × 612
(2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 11 × 19 × 61 × 61)See below for interesting mathematical facts about the number 138339431739432 from the Numbermatics database.
Names of 138339431739432
- Cardinal: 138339431739432 can be written as One hundred thirty-eight trillion, three hundred thirty-nine billion, four hundred thirty-one million, seven hundred thirty-nine thousand, four hundred thirty-two.
Scientific notation
- Scientific notation: 1.38339431739432 × 1014
Factors of 138339431739432
Divisors of 138339431739432
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 18 19 21 22 24 27 28 33 36 38 42 44 49 54 56 57 61 63 66 72 76 77 84 88 98 99 108 114 122 126 132 133 147 152 154 168 171 183 189 196 198 209 216 228 231 244 252 264 266 294 297 308 342 343 366 378 392 396 399 418 427 441 456 462 488 504 513 532 539 549 588 594 616 627 671 684 686 693 732 756 792 798 836 854 882 924 931 1026 1029 1064 1078 1098 1159 1176 1188 1197 1254 1281 1323 1342 1368 1372 1386 1463 1464 1512 1596 1617 1647 1672 1708 1764 1848 1862 1881 2013 2052 2058 2079 2156 2196 2318 2376 2394 2401 2508 2562 2646 2684 2744 2772 2793 2926 2989 3087 3192 3234 3294 3416 3477 3528 3591 3721 3724 3762 3773 3843 4026 4104 4116 4158 4312 4389 4392 4636 4697 4788 4802 4851 5016 5124 5292 5368 5544 5586 5643 5852 5978 6039 6174 6468 6517 6588 6954 7182 7203 7442 7448 7524 7546 7686 8052 8113 8232 8316 8379 8778 8967 9261 9272 9394 9576 9604 9702 10241 10248 10431 10584 11163 11172 11286 11319 11529 11704 11956 12078 12348 12749 12936 13034 13167 13176 13908 14091 14364 14406 14553 14884 15048 15092 15372 16104 16226 16632 16758 16807 17556 17934 18117 18522 18788 19208 19404 19551 20482 20862 20923 21609 22326 22344 22572 22638 23058 23912 24156 24339 24696 25137 25498 26047 26068 26334 26411 26901 27816 28182 28728 28812 29106 29768 30184 30723 30744 31293 32452 32879 33489 33516 33614 33957 35112 35868 36234 37044 37576 38247 38808 39102 39501 40931 40964 41724 41846 42273 43218 44652 45144 45276 45619 46116 48312 48678 50274 50421 50996 52094 52136 52668 52822 53802 56364 56791 57624 58212 58653 61446 62586 62769 64827 64904 65758 66978 67032 67228 67914 70699 71687 71736 72468 73017 74088 76494 78141 78204 79002 79233 80703 81862 81928 83448 83692 84546 86436 89243 89304 90552 91238 92169 92232 97356 98637 100467 100548 100842 101871 101992 104188 105336 105644 107604 112728 113582 114741 116424 117306 117649 122793 122892 125172 125538 126819 129654 131516 133956 134456 135828 136857 141398 143374 144936 146034 146461 151263 152988 156282 156408 158004 158466 161406 163724 167384 169092 170373 172872 175959 178486 182329 182476 184338 184877 188307 194712 197274 200934 201096 201684 203742 208376 211288 212097 215061 215208 219051 227164 229482 230153 234423 234612 235298 237699 245586 245784 250344 251076 253638 259308 263032 267729 267912 271656 273714 276507 282796 286517 286748 292068 292922 295911 302526 305976 312564 316008 316932 319333 322812 327448 338184 340746 344223 351918 352947 356972 364658 364952 368379 368676 369754 376614 394548 397537 401868 403368 407484 410571 424194 430122 438102 439383 453789 454328 458964 460306 468846 469224 470596 475398 491172 494893 501809 502152 507276 511119 518616 535458 546987 547428 553014 554631 564921 565592 573034 573496 584136 585844 591822 605052 624701 625128 633864 636291 638666 645183 645624 681492 688446 690459 703269 703836 705894 713097 713944 729316 736758 737352 739508 753228 777689 789096 795074 803187 803736 814968 821142 823543 848388 859551 860244 876204 878766 887733 907578 917928 920612 937692 941192 950796 957999 982344 989786 1003618 1014552 1022238 1025227 1058841 1070916 1093974 1094856 1105137 1106028 1109262 1129842 1146068 1171688 1183644 1192611 1210104 1231713 1249402 1272582 1276303 1277332 1290366 1294139 1318149 1362984 1376892 1380918 1406538 1407672 1411788 1426194 1458632 1473516 1479016 1484679 1505427 1506456 1533357 1555378 1590148 1606374 1611071 1640961 1642284 1647086 1663893 1696776 1719102 1720488 1752408 1757532 1775466 1815156 1841224 1874103 1875384 1901592 1908873 1915998 1935549 1979572 2005619 2007236 2044476 2050454 2071377 2117682 2141832 2187948 2210274 2212056 2218524 2235331 2259684 2292136 2333067 2367288 2385222 2409561 2463426 2470629 2498804 2545164 2552606 2554664 2578653 2580732 2588278 2636298 2753784 2761836 2782759 2813076 2823576 2852388 2873997 2947032 2969358 3010854 3066714 3075681 3110756 3176523 3180296 3212748 3222142 3281922 3284568 3294172 3327786 3438204 3464251 3512663 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28892947314 29452721256 29840257062 31498049121 31519578888 32082428511 33270666604 33610163202 33708438533 34361508132 35997770424 36665632584 36772842036 37148075118 37178025192 38523929752 39211857069 39787009416 40497491727 41997398828 42776571348 43339420971 44813550936 46282847688 47279368332 49530766824 49905999906 50415244803 51542262198 52282476092 53996655636 55159263054 57617422632 57785894628 58223666557 59680514124 62996098242 64164857022 66541333208 67220326404 67416877066 68723016264 73545684072 74296150236 74858999859 78423714138 80994983454 82738894581 83994797656 85553142696 86678841942 91494333161 94494147363 94558736664 99811999812 100830489606 101125315599 103084524396 104564952184 107993311272 110318526108 115571789256 116447333114 117635571207 119361028248 125992196484 128329714044 130018262913 134440652808 134833754132 148592300472 149717999718 156847428276 161989966908 165477789162 173357683884 174670999671 182988666322 188988294726 199623999624 201660979212 202250631198 206169048792 220637052216 224576999577 232894666228 235271142414 251984392968 256659428088 260036525826 269667508264 274482999483 283482442089 299435999436 303375946797 313694856552 323979933816 330955578324 346715367768 349341999342 352906713621 365977332644 377976589452 403321958424 404501262396 449153999154 465789332456 470542284828 520073051652 524012999013 548965998966 566964884178 598871998872 606751893594 640460332127 661911156648 698683998684 705813427242 731954665288 755953178904 809002524792 823448998449 898307998308 910127840391 941084569656 1040146103304 1048025998026 1097931997932 1133929768356 1213503787188 1280920664254 1397367997368 1411626854484 1572038997039 1646897996898 1796615996616 1820255680782 1921380996381 2096051996052 2195863995864 2267859536712 2427007574376 2470346995347 2561841328508 2823253708968 3144077994078 3293795993796 3640511361564 3842761992762 4192103992104 4940693990694 5123682657016 5764142989143 6288155988156 6587591987592 7281022723128 7685523985524 9881387981388 11528285978286 12576311976312 15371047971048 17292428967429 19762775962776 23056571956572 34584857934858 46113143913144 69169715869716 138339431739432
- Sum of all divisors σ(n): 523397721600000
- Sum of proper divisors (its aliquot sum) s(n): 385058289860568
- 138339431739432 is an abundant number, because the sum of its proper divisors (385058289860568) is greater than itself. Its abundance is 246718858121136
Bases of 138339431739432
- Binary: 111110111010001101010001010111111110000001010002
- Hexadecimal: 0x7DD1A8AFF028
- Base-36: 1D1C99U7U0
Squares and roots of 138339431739432
- 138339431739432 squared (1383394317394322) is 19137798373988965833143682624
- 138339431739432 cubed (1383394317394323) is 2647512151801459260910946979381846474029568
-
The
square root of 138339431739432 is 11761778.4258772703 -
The
cube root of 138339431739432 is 51718.8265334985
Scales and comparisons
How big is 138339431739432?- 138,339,431,739,432 seconds is equal to 4,398,766 years, 6 days, 7 hours, 37 minutes, 12 seconds.
-
To count from 1 to 138,339,431,739,432 would take you about ten million, nine hundred ninety-six thousand, nine hundred fifteen 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 138339431739432 cubic inches would be around 4309.9 feet tall.
Recreational maths with 138339431739432
- 138339431739432 backwards is 234937134933831
- 138339431739432 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138339431739432's digits is 63
- More coming soon!
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"Number 138339431739432 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 138339431739432 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/138339431739432/
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The information we have on file for 138339431739432 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 138339431739432, math, Factors of 138339431739432, curriculum, school, college, exams, university, Prime factorization of 138339431739432, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred thirty-nine billion, four hundred thirty-one million, seven hundred thirty-nine thousand, four hundred thirty-two.