38646442147968
38,646,442,147,968 is an even composite number composed of five prime numbers multiplied together.
38646442147968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 38646442147968:
27 × 37 × 31 × 1861 × 2393
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 31 × 1861 × 2393)See below for interesting mathematical facts about the number 38646442147968 from the Numbermatics database.
Names of 38646442147968
- Cardinal: 38646442147968 can be written as Thirty-eight trillion, six hundred forty-six billion, four hundred forty-two million, one hundred forty-seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 3.8646442147968 × 1013
Factors of 38646442147968
Divisors of 38646442147968
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 128 144 162 186 192 216 243 248 279 288 324 372 384 432 486 496 558 576 648 729 744 837 864 972 992 1116 1152 1296 1458 1488 1674 1728 1861 1944 1984 2187 2232 2393 2511 2592 2916 2976 3348 3456 3722 3888 3968 4374 4464 4786 5022 5184 5583 5832 5952 6696 7179 7444 7533 7776 8748 8928 9572 10044 10368 11166 11664 11904 13392 14358 14888 15066 15552 16749 17496 17856 19144 20088 21537 22332 22599 23328 26784 28716 29776 30132 31104 33498 34992 35712 38288 40176 43074 44664 45198 46656 50247 53568 57432 57691 59552 60264 64611 66996 67797 69984 74183 76576 80352 86148 89328 90396 93312 100494 107136 114864 115382 119104 120528 129222 133992 135594 139968 148366 150741 153152 160704 172296 173073 178656 180792 193833 200988 222549 229728 230764 238208 241056 258444 267984 271188 279936 296732 301482 306304 321408 344592 346146 357312 361584 387666 401976 445098 452223 459456 461528 482112 516888 519219 535968 542376 581499 593464 602964 667647 689184 692292 714624 723168 775332 803952 890196 904446 918912 923056 964224 1033776 1038438 1071936 1084752 1162998 1186928 1205928 1335294 1356669 1378368 1384584 1446336 1550664 1557657 1607904 1744497 1780392 1808892 1846112 2002941 2067552 2076876 2143872 2169504 2325996 2373856 2411856 2670588 2713338 2756736 2769168 2892672 3101328 3115314 3215808 3488994 3560784 3617784 3692224 4005882 4070007 4135104 4153752 4339008 4453373 4651992 4672971 4747712 4823712 5233491 5341176 5426676 5538336 6008823 6202656 6230628 6431616 6977988 7121568 7235568 7384448 8011764 8140014 8270208 8307504 8678016 8906746 9303984 9345942 9495424 9647424 10466982 10682352 10853352 11076672 12017646 12405312 12461256 13360119 13955976 14018913 14243136 14471136 16023528 16280028 16615008 17813492 18026469 18607968 18691884 19294848 20933964 21364704 21706704 22153344 24035292 24810624 24922512 26720238 27911952 28037826 28486272 28942272 32047056 32560056 33230016 35626984 36052938 37215936 37383768 40080357 41867928 42056739 42729408 43413408 48070584 49845024 53440476 54079407 55823904 56075652 57884544 64094112 65120112 66460032 71253968 72105876 74431872 74767536 80160714 83735856 84113478 85458816 86826816 96141168 99690048 106880952 108158814 111647808 112151304 120241071 126170217 128188224 130240224 138054563 142507936 144211752 149535072 160321428 162238221 167471712 168226956 173653632 192282336 199380096 213761904 216317628 223295616 224302608 240482142 252340434 256376448 260480448 276109126 285015872 288423504 299070144 320642856 324476442 334943424 336453912 360723213 384564672 414163689 427523808 432635256 448605216 480964284 504680868 520960896 552218252 570031744 576847008 598140288 641285712 648952884 669886848 672907824 721446426 769129344 828327378 855047616 865270512 897210432 961928568 1009361736 1082169639 1104436504 1153694016 1242491067 1282571424 1297905768 1345815648 1442892852 1656654756 1710095232 1730541024 1794420864 1923857136 2018723472 2164339278 2208873008 2307388032 2484982134 2565142848 2595811536 2691631296 2885785704 3246508917 3313309512 3461082048 3727473201 3847714272 4037446944 4328678556 4417746016 4969964268 5130285696 5191623072 5383262592 5771571408 6493017834 6626619024 6922164096 7454946402 7695428544 8074893888 8657357112 8835492032 9739526751 9939928536 10383246144 11182419603 11543142816 12986035668 13253238048 14909892804 15390857088 16149787776 17314714224 17670984064 19479053502 19879857072 20766492288 22364839206 23086285632 25972071336 26506476096 29819785608 33547258809 34629428448 38958107004 39759714144 44729678412 46172571264 51944142672 53012952192 59639571216 67094517618 69258856896 77916214008 79519428288 89459356824 100641776427 103888285344 119279142432 134189035236 138517713792 155832428016 159038856576 178918713648 201283552854 207776570688 238558284864 268378070472 301925329281 311664856032 357837427296 402567105708 415553141376 477116569728 536756140944 603850658562 623329712064 715674854592 805134211416 1073512281888 1207701317124 1246659424128 1431349709184 1610268422832 2147024563776 2415402634248 3220536845664 4294049127552 4830805268496 6441073691328 9661610536992 12882147382656 19323221073984 38646442147968
- Sum of all divisors σ(n): 119307521894400
- Sum of proper divisors (its aliquot sum) s(n): 80661079746432
- 38646442147968 is an abundant number, because the sum of its proper divisors (80661079746432) is greater than itself. Its abundance is 42014637598464
Bases of 38646442147968
- Binary: 10001100100110000100110111010011000000100000002
- Hexadecimal: 0x23261374C080
- Base-36: DP5XHU000
Squares and roots of 38646442147968
- 38646442147968 squared (386464421479682) is 1493547490696237481606529024
- 38646442147968 cubed (386464421479683) is 57720296694434916554473658425687494623232
-
The
square root of 38646442147968 is 6216626.2673549871 -
The
cube root of 38646442147968 is 33809.3254580811
Scales and comparisons
How big is 38646442147968?- 38,646,442,147,968 seconds is equal to 1,228,837 years, 16 weeks, 4 days, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 38,646,442,147,968 would take you about three million, seventy-two thousand and ninety-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 38646442147968 cubic inches would be around 2817.4 feet tall.
Recreational maths with 38646442147968
- 38646442147968 backwards is 86974124464683
- 38646442147968 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 38646442147968's digits is 72
- More coming soon!
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