138040978193547264
138,040,978,193,547,264 is an even composite number composed of four prime numbers multiplied together.
138040978193547264 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138040978193547264:
215 × 39 × 113 × 4012
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 11 × 401 × 401)See below for interesting mathematical facts about the number 138040978193547264 from the Numbermatics database.
Names of 138040978193547264
- Cardinal: 138040978193547264 can be written as One hundred thirty-eight quadrillion, forty trillion, nine hundred seventy-eight billion, one hundred ninety-three million, five hundred forty-seven thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 1.38040978193547264 × 1017
Factors of 138040978193547264
Divisors of 138040978193547264
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 121 128 132 144 162 176 192 198 216 242 243 256 264 288 297 324 352 363 384 396 401 432 484 486 512 528 576 594 648 704 726 729 768 792 802 864 891 968 972 1024 1056 1089 1152 1188 1203 1296 1331 1408 1452 1458 1536 1584 1604 1728 1782 1936 1944 2048 2112 2178 2187 2304 2376 2406 2592 2662 2673 2816 2904 2916 3072 3168 3208 3267 3456 3564 3609 3872 3888 3993 4096 4224 4356 4374 4411 4608 4752 4812 5184 5324 5346 5632 5808 5832 6144 6336 6416 6534 6561 6912 7128 7218 7744 7776 7986 8019 8192 8448 8712 8748 8822 9216 9504 9624 9801 10368 10648 10692 10827 11264 11616 11664 11979 12288 12672 12832 13068 13122 13233 13824 14256 14436 15488 15552 15972 16038 16384 16896 17424 17496 17644 18432 19008 19248 19602 19683 20736 21296 21384 21654 22528 23232 23328 23958 24057 24576 25344 25664 26136 26244 26466 27648 28512 28872 29403 30976 31104 31944 32076 32481 32768 33792 34848 34992 35288 35937 36864 38016 38496 39204 39366 39699 41472 42592 42768 43308 45056 46464 46656 47916 48114 48521 49152 50688 51328 52272 52488 52932 55296 57024 57744 58806 61952 62208 63888 64152 64962 67584 69696 69984 70576 71874 72171 73728 76032 76992 78408 78732 79398 82944 85184 85536 86616 88209 90112 92928 93312 95832 96228 97042 97443 98304 101376 102656 104544 104976 105864 107811 110592 114048 115488 117612 119097 123904 124416 127776 128304 129924 135168 139392 139968 141152 143748 144342 145563 147456 152064 153984 156816 157464 158796 160801 165888 170368 171072 173232 176418 180224 185856 186624 191664 192456 194084 194886 202752 205312 209088 209952 211728 215622 216513 221184 228096 230976 235224 238194 247808 248832 255552 256608 259848 264627 270336 278784 279936 282304 287496 288684 291126 292329 294912 304128 307968 313632 314928 317592 321602 323433 331776 340736 342144 346464 352836 357291 360448 371712 373248 383328 384912 388168 389772 405504 410624 418176 419904 423456 431244 433026 436689 442368 456192 461952 470448 476388 482403 495616 497664 511104 513216 519696 529254 533731 540672 557568 559872 564608 574992 577368 582252 584658 608256 615936 627264 629856 635184 643204 646866 663552 681472 684288 692928 705672 714582 743424 746496 766656 769824 776336 779544 793881 811008 821248 836352 839808 846912 862488 866052 873378 876987 884736 912384 923904 940896 952776 964806 970299 991232 995328 1022208 1026432 1039392 1058508 1067462 1071873 1081344 1115136 1119744 1129216 1149984 1154736 1164504 1169316 1216512 1231872 1254528 1259712 1270368 1286408 1293732 1310067 1327104 1362944 1368576 1385856 1411344 1429164 1447209 1486848 1492992 1533312 1539648 1552672 1559088 1587762 1601193 1622016 1642496 1672704 1679616 1693824 1724976 1732104 1746756 1753974 1768811 1824768 1847808 1881792 1905552 1929612 1940598 1982464 1990656 2044416 2052864 2078784 2117016 2134924 2143746 2230272 2239488 2258432 2299968 2309472 2329008 2338632 2381643 2433024 2463744 2509056 2519424 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71008733638656 71302158157824 77464073060352 79884825343488 86060460220416 87147082192896 89870428511424 94678311518208 95069544210432 98040467467008 103712230047744 106513100457984 114747280293888 116196109590528 119827238015232 126759392280576 130720623289344 134805642767136 142017467277312 142604316315648 154928146120704 159769650686976 172120920440832 174294164385792 179740857022848 189356623036416 190139088420864 196080934934016 213026200915968 232392219181056 239654476030464 261441246578688 269611285534272 284034934554624 285208632631296 319539301373952 344241840881664 348588328771584 359481714045696 380278176841728 392161869868032 426052401831936 464784438362112 479308952060928 522882493157376 539222571068544 568069869109248 570417265262592 639078602747904 697176657543168 718963428091392 784323739736064 852104803663872 958617904121856 1045764986314752 1078445142137088 1140834530525184 1278157205495808 1394353315086336 1437926856182784 1568647479472128 1704209607327744 1917235808243712 2091529972629504 2156890284274176 2556314410991616 2875853712365568 3137294958944256 3834471616487424 4183059945259008 4313780568548352 5112628821983232 5751707424731136 6274589917888512 7668943232974848 8627561137096704 11503414849462272 12549179835777024 15337886465949696 17255122274193408 23006829698924544 34510244548386816 46013659397849088 69020489096773632 138040978193547264
- Sum of all divisors σ(n): 456628166587565280
- Sum of proper divisors (its aliquot sum) s(n): 318587188394018016
- 138040978193547264 is an abundant number, because the sum of its proper divisors (318587188394018016) is greater than itself. Its abundance is 180546210200470752
Bases of 138040978193547264
- Binary: 1111010100110101110001001110011011010110010000000000000002
- Hexadecimal: 0x1EA6B89CDAC8000
- Base-36: 11R7FXXC0000
Squares and roots of 138040978193547264
- 138040978193547264 squared (1380409781935472642) is 19055311660631391261028927401885696
- 138040978193547264 cubed (1380409781935472643) is 2630413861416464783755588715932959243540292901535744
-
The
square root of 138040978193547264 is 371538663.1207407249 -
The
cube root of 138040978193547264 is 516816.0701577069
Scales and comparisons
How big is 138040978193547264?- 138,040,978,193,547,264 seconds is equal to 4,389,276,117 years, 40 weeks, 1 day, 18 hours, 14 minutes, 24 seconds.
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To count from 1 to 138,040,978,193,547,264 would take you about thirteen billion, one hundred sixty-seven million, eight hundred twenty-eight thousand, three hundred fifty-three 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 138040978193547264 cubic inches would be around 43068 feet tall.
Recreational maths with 138040978193547264
- 138040978193547264 backwards is 462745391879040831
- 138040978193547264 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138040978193547264's digits is 81
- More coming soon!
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The information we have on file for 138040978193547264 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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