138334429968
138,334,429,968 is an even composite number composed of six prime numbers multiplied together.
138334429968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138334429968:
24 × 3 × 73 × 19 × 47 × 972
(2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 19 × 47 × 97 × 97)See below for interesting mathematical facts about the number 138334429968 from the Numbermatics database.
Names of 138334429968
- Cardinal: 138334429968 can be written as One hundred thirty-eight billion, three hundred thirty-four million, four hundred twenty-nine thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38334429968 × 1011
Factors of 138334429968
Divisors of 138334429968
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 47 48 49 56 57 76 84 94 97 98 112 114 133 141 147 152 168 188 194 196 228 266 282 291 294 304 329 336 343 376 388 392 399 456 532 564 582 588 658 679 686 752 776 784 798 893 912 931 987 1029 1064 1128 1164 1176 1316 1358 1372 1552 1596 1786 1843 1862 1974 2037 2058 2128 2256 2303 2328 2352 2632 2679 2716 2744 2793 3192 3572 3686 3724 3948 4074 4116 4559 4606 4656 4753 5264 5358 5432 5488 5529 5586 6251 6384 6517 6909 7144 7372 7448 7896 8148 8232 9118 9212 9409 9506 10716 10864 11058 11172 12502 12901 13034 13677 13818 14259 14288 14744 14896 15792 16121 16296 16464 18236 18424 18753 18818 19012 19551 21432 22116 22344 25004 25802 26068 27354 27636 28227 28518 29488 31913 32242 32592 33271 36472 36848 37506 37636 38024 38703 39102 42864 43757 44232 44688 48363 50008 51604 52136 54708 55272 56454 57036 63826 64484 65863 66542 72944 75012 75272 76048 77406 78204 86621 87514 88464 90307 95739 96726 99813 100016 103208 104272 109416 110544 112908 114072 127652 128968 131271 131726 133084 150024 150544 154812 156408 173242 175028 178771 180614 191478 193452 197589 199626 206416 218832 223391 225816 228144 255304 257936 259863 262542 263452 266168 270921 300048 306299 309624 312816 346484 350056 357542 361228 382956 386904 395178 399252 442223 446782 451632 461041 510608 519726 525084 526904 532336 536313 541842 606347 612598 619248 632149 670173 692968 700112 715084 722456 765912 773808 790356 798504 884446 893564 918897 922082 1039452 1050168 1053808 1072626 1083684 1212694 1225196 1251397 1264298 1326669 1340346 1383123 1385936 1430168 1444912 1531824 1563737 1580712 1597008 1768892 1787128 1819041 1837794 1844164 1896447 2078904 2100336 2145252 2167368 2425388 2450392 2502794 2528596 2653338 2680692 2766246 2860336 3095561 3127474 3161424 3227287 3537784 3574256 3638082 3675588 3688328 3754191 3792894 4157808 4244429 4290504 4334736 4691211 4850776 4900784 5005588 5057192 5306676 5361384 5532492 6191122 6254948 6454574 7075568 7276164 7351176 7376656 7508382 7585788 8402237 8488858 8581008 8759779 9286683 9382422 9681861 9701552 10011176 10114384 10613352 10722768 11064984 12382244 12509896 12733287 12909148 14552328 14702352 15016764 15171576 16804474 16977716 17519558 18573366 18764844 19363722 20022352 21226704 21668927 22129968 24764488 25019792 25206711 25466574 25818296 26279337 29104656 29711003 30033528 30343152 33608948 33955432 35039116 37146732 37529688 38727444 43337854 49528976 50413422 50933148 51636592 52558674 58815659 59422006 60067056 61318453 65006781 67217896 67910864 70078232 74293464 75059376 77454888 86675708 89133009 100826844 101866296 105117348 117631318 118844012 122636906 130013562 134435792 140156464 148586928 151682489 154909776 173351416 176446977 178266018 183955359 201653688 203732592 210234696 235262636 237688024 245273812 260027124 303364978 346702832 352893954 356532036 367910718 403307376 411709613 420469392 455047467 470525272 475376048 490547624 520054248 606729956 705787908 713064072 735821436 823419226 910094934 941050544 981095248 1040108496 1213459912 1235128839 1411575816 1426128144 1471642872 1646838452 1820189868 2426919824 2470257678 2823151632 2881967291 2943285744 3293676904 3640379736 4940515356 5763934582 6587353808 7280759472 8645901873 9881030712 11527869164 17291803746 19762061424 23055738328 34583607492 46111476656 69167214984 138334429968
- Sum of all divisors σ(n): 452685312000
- Sum of proper divisors (its aliquot sum) s(n): 314350882032
- 138334429968 is an abundant number, because the sum of its proper divisors (314350882032) is greater than itself. Its abundance is 176016452064
Bases of 138334429968
- Binary: 100000001101010101111111100011000100002
- Hexadecimal: 0x20355FE310
- Base-36: 1RJSQXAO
Squares and roots of 138334429968
- 138334429968 squared (1383344299682) is 19136414514571496481024
- 138334429968 cubed (1383344299683) is 2647224993504609395483172968927232
-
The
square root of 138334429968 is 371933.3676453351 -
The
cube root of 138334429968 is 5171.8203214311
Scales and comparisons
How big is 138334429968?- 138,334,429,968 seconds is equal to 4,398 years, 31 weeks, 3 days, 22 hours, 32 minutes, 48 seconds.
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To count from 1 to 138,334,429,968 would take you about eight thousand, seven hundred ninety-seven 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 138334429968 cubic inches would be around 431 feet tall.
Recreational maths with 138334429968
- 138334429968 backwards is 869924433831
- The number of decimal digits it has is: 12
- The sum of 138334429968's digits is 60
- More coming soon!
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