23681672148992
23,681,672,148,992 is an even composite number composed of seven prime numbers multiplied together.
23681672148992 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 23681672148992:
211 × 112 × 132 × 17 × 29 × 31 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 11 × 13 × 13 × 17 × 29 × 31 × 37)See below for interesting mathematical facts about the number 23681672148992 from the Numbermatics database.
Names of 23681672148992
- Cardinal: 23681672148992 can be written as Twenty-three trillion, six hundred eighty-one billion, six hundred seventy-two million, one hundred forty-eight thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 2.3681672148992 × 1013
Factors of 23681672148992
Divisors of 23681672148992
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 8 11 13 16 17 22 26 29 31 32 34 37 44 52 58 62 64 68 74 88 104 116 121 124 128 136 143 148 169 176 187 208 221 232 242 248 256 272 286 296 319 338 341 352 374 377 403 407 416 442 464 481 484 493 496 512 527 544 572 592 629 638 676 682 704 748 754 806 814 832 884 899 928 962 968 986 992 1024 1054 1073 1088 1144 1147 1184 1258 1276 1352 1364 1408 1496 1508 1573 1612 1628 1664 1768 1798 1856 1859 1924 1936 1972 1984 2048 2057 2108 2146 2176 2288 2294 2368 2431 2516 2552 2704 2728 2816 2873 2992 3016 3146 3224 3256 3328 3509 3536 3596 3712 3718 3751 3848 3872 3944 3968 4114 4147 4216 4292 4352 4433 4477 4576 4588 4736 4862 4901 5032 5104 5239 5291 5408 5423 5456 5632 5746 5797 5984 6032 6253 6292 6409 6448 6512 6656 6851 6919 7018 7072 7192 7424 7436 7502 7696 7744 7888 7936 8177 8228 8294 8432 8584 8704 8866 8954 9152 9176 9472 9724 9802 9889 10064 10208 10478 10582 10816 10846 10912 11264 11492 11594 11687 11803 11968 12064 12506 12584 12617 12818 12896 13024 13312 13702 13838 13949 14036 14144 14384 14848 14872 14911 15004 15283 15392 15488 15776 15872 16354 16456 16588 16864 17168 17408 17732 17908 18241 18304 18352 18944 19448 19499 19604 19778 20128 20416 20449 20956 21164 21632 21692 21824 22528 22984 23188 23374 23606 23936 24128 25012 25168 25234 25636 25792 26048 26624 26741 27404 27676 27898 28072 28288 28768 29696 29744 29822 30008 30566 30784 30976 31552 31603 31744 32708 32912 33176 33263 33728 34336 34816 35464 35816 36482 36608 36704 37888 38896 38998 39208 39556 40256 40832 40898 41912 42328 43264 43384 43648 45617 45968 46376 46748 47212 47872 48256 48763 50024 50336 50468 51272 51584 52096 53482 53911 54808 55352 55796 56144 56576 57536 57629 58201 59392 59488 59644 59653 60016 61132 61568 61952 63104 63206 63488 63767 65416 65824 66352 66526 67456 68672 68783 70499 70928 71632 72964 73216 73408 75361 75776 76109 77792 77996 78416 79112 80512 81664 81796 83317 83824 84656 86528 86768 87296 89063 89947 91234 91936 92752 93496 94424 95744 96512 97526 100048 100672 100936 102544 103168 104192 106301 106964 107822 108779 109616 110704 111592 112288 113152 115072 115258 116402 118976 119288 119306 120032 122264 123136 123904 126208 126412 127534 128557 129833 130832 131648 132704 133052 134912 137344 137566 138787 140998 141856 143264 145928 146432 146816 150722 151931 152218 153439 155584 155992 156832 158224 161024 163328 163592 164021 166634 167648 168113 169312 173056 173536 174592 178126 179894 181337 182468 183872 185504 186992 188848 191488 193024 193843 195052 198679 200096 200651 201344 201872 205088 206336 208384 212602 213928 214489 215644 217558 219232 221408 223184 224576 226304 230144 230516 232804 237133 237952 238576 238612 240064 244528 246272 247808 252416 252824 253487 255068 257114 259666 261664 263296 265408 266104 269824 274688 275132 277574 281996 283712 286528 291856 292864 293632 301444 303862 304436 306878 311168 311984 313664 316448 322048 326656 327184 328042 333268 335296 336226 338624 346112 347072 347633 349184 356252 359788 362674 364936 365893 367744 371008 373984 377696 382976 386048 387686 390104 397358 400192 401302 402688 403744 410176 412672 416768 425204 427856 428978 431288 432419 435116 438464 442816 446368 449152 452608 460288 461032 465608 474266 475904 477152 477224 480128 489056 492544 504832 505648 506974 510136 514228 519332 523328 526592 530816 532208 539648 549376 550264 555148 563992 565471 567424 573056 583712 587264 593021 602888 607724 608872 613756 622336 623968 627328 632896 633919 644096 653312 654368 656084 666536 670592 672452 677248 694144 695266 698368 712504 719576 725348 729872 731786 735488 742016 747968 755392 756613 772096 775372 775489 780208 794716 800384 802604 805376 807488 820352 825344 828971 833536 850408 855712 857956 862576 864838 870232 876928 885632 892736 898304 916487 920576 922064 931216 948532 951808 954304 954448 960256 978112 979693 985088 989417 1009664 1011296 1013948 1020272 1028456 1038664 1046656 1053184 1061632 1064416 1079296 1098752 1100528 1110296 1127984 1130942 1134848 1146112 1167424 1169311 1174528 1186042 1205776 1215448 1217744 1227512 1244672 1247936 1254656 1265792 1267838 1288192 1308736 1312168 1333072 1341184 1344904 1354496 1388288 1390532 1414127 1425008 1439152 1450696 1459744 1463572 1470976 1484032 1495936 1510784 1513226 1550744 1550978 1560416 1589432 1600768 1605208 1610752 1614976 1640704 1657942 1671241 1687829 1700816 1711424 1715912 1725152 1729676 1740464 1753856 1771264 1785472 1796608 1804231 1832974 1841152 1844128 1849243 1862432 1897064 1903616 1908608 1908896 1920512 1956224 1959386 1978834 1994707 2022592 2027896 2040544 2056912 2077328 2093312 2106368 2123264 2128832 2132273 2185469 2197504 2201056 2207161 2220592 2255968 2261884 2269696 2292224 2334848 2338622 2349056 2359379 2372084 2411552 2430896 2435488 2455024 2489344 2495872 2509312 2531584 2535676 2582827 2608463 2617472 2624336 2666144 2682368 2689808 2708992 2776576 2781064 2788357 2828254 2850016 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106108288 106959424 108021056 108852224 109818368 110409728 110699264 111389696 113644388 114772372 115470784 117310336 117617968 118024192 118351552 119195648 121412096 122169344 122687708 123671834 125400704 126645376 127661248 128794336 129785344 130594816 131642368 132948992 135640076 136465472 136843982 139870016 140867584 141258304 142117888 144381952 144760576 144994564 147069208 149671808 151000256 151813376 152211488 154339328 155577344 155871232 157121536 161301712 161724706 162283264 165300928 166941632 167957504 170633216 172147712 172425968 175534216 177988096 178454848 179886304 181008256 182401024 184211456 185689088 187337216 187640024 191129198 192321272 193692928 197294656 198495232 198525184 199045792 203447296 205466624 205798736 209290796 210901184 212216576 213918848 216042112 217704448 219636736 221398528 222779392 227288776 229544744 230941568 234620672 235235936 236703104 242824192 245375416 247343668 250801408 253290752 255322496 257588672 259570688 263284736 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2808547456 2855277568 2878180864 2896132096 2984081672 3002240384 3058067168 3077140352 3156714496 3184732672 3189880408 3292779776 3348652736 3374418944 3422701568 3456673792 3557943532 3636620416 3672715904 3695065088 3763774976 3787249664 3926006656 3957498688 4085159936 4121418752 4204842356 4340482432 4366895104 4379007424 4475840512 4520265728 4639826048 4706214656 4832008192 4870767616 5000353072 5161654784 5175190592 5289629696 5342132224 5441560696 5517630976 5617094912 5710555136 5756361728 5968163344 6004480768 6116134336 6154280704 6313428992 6369465344 6379760816 6585559552 6697305472 6748837888 7115887064 7273240832 7345431808 7527549952 7852013312 7914997376 8242837504 8409684712 8680964864 8758014848 9279652096 9412429312 9741535232 10000706144 10323309568 10350381184 10883121392 11035261952 11234189824 11512723456 11563316479 11936326688 12008961536 12232268672 12308561408 12738930688 12759521632 13171119104 13394610944 14231774128 14546481664 14690863616 15055099904 15704026624 15829994752 16819369424 17361929728 17516029696 18559304192 18824858624 20001412288 20646619136 20700762368 21766242784 22070523904 22468379648 23126632958 23872653376 24017923072 24464537344 24617122816 25519043264 26342238208 26789221888 28463548256 29092963328 29381727232 31408053248 31659989504 33638738848 34723859456 35032059392 37118608384 37649717248 40002824576 41401524736 43532485568 44936759296 46253265916 47745306752 48035846144 48929074688 49234245632 51038086528 53578443776 56927096512 58185926656 58763454464 62816106496 63319979008 67277477696 69447718912 70064118784 74237216768 80005649152 82803049472 87064971136 92506531832 95490613504 97858149376 102076173056 107156887552 113854193024 126639958016 134554955392 140128237568 160011298304 165606098944 174129942272 185013063664 190981227008 195716298752 204152346112 227708386048 269109910784 320022596608 348259884544 370026127328 381962454016 408304692224 455416772096 538219821568 640045193216 696519769088 740052254656 763924908032 816609384448 910833544192 1076439643136 1393039538176 1480104509312 1821667088384 2152879286272 2960209018624 5920418037248 11840836074496 23681672148992
- Sum of all divisors σ(n): 65446130131200
- Sum of proper divisors (its aliquot sum) s(n): 41764457982208
- 23681672148992 is an abundant number, because the sum of its proper divisors (41764457982208) is greater than itself. Its abundance is 18082785833216
Bases of 23681672148992
- Binary: 1010110001001110100011010011111111000000000002
- Hexadecimal: 0x1589D1A7F800
- Base-36: 8E77K5KOW
Squares and roots of 23681672148992
- 23681672148992 squared (236816721489922) is 560821595772343371446616064
- 23681672148992 cubed (236816721489923) is 13281193165155153591285910736153228607488
-
The
square root of 23681672148992 is 4866381.8334561459 -
The
cube root of 23681672148992 is 28716.8933185181
Scales and comparisons
How big is 23681672148992?- 23,681,672,148,992 seconds is equal to 753,003 years, 47 weeks, 6 days, 15 hours, 36 minutes, 32 seconds.
-
To count from 1 to 23,681,672,148,992 would take you about one million, eight hundred eighty-two thousand, five hundred nine 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 23681672148992 cubic inches would be around 2393.1 feet tall.
Recreational maths with 23681672148992
- 23681672148992 backwards is 29984127618632
- 23681672148992 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 23681672148992's digits is 68
- More coming soon!
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"Number 23681672148992 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 23681672148992 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/23681672148992/
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The information we have on file for 23681672148992 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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