38344860800064

Names of 38344860800064

• Cardinal: 38344860800064 can be written as Thirty-eight trillion, three hundred forty-four billion, eight hundred sixty million, eight hundred thousand and sixty-four.

Scientific notation

• Scientific notation: 3.8344860800064 × 10¹³

Factors of 38344860800064

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 138

Divisors of 38344860800064

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 72 78 84 91 96 104 108 112 113 117 126 144 156 168 169 182 189 192 208 216 224 226 234 252 273 288 312 336 338 339 351 364 378 416 432 448 452 468 504 507 546 576 624 672 676 678 702 728 756 791 819 832 864 904 936 1008 1014 1017 1092 1183 1248 1344 1352 1356 1404 1456 1469 1512 1521 1582 1638 1728 1808 1872 2016 2028 2034 2184 2197 2366 2373 2457 2496 2704 2712 2808 2912 2938 3024 3042 3051 3164 3276 3549 3616 3744 4032 4056 4068 4368 4394 4407 4563 4732 4746 4914 5408 5424 5616 5824 5876 6048 6084 6102 6328 6552 6591 7098 7119 7232 7488 8112 8136 8736 8788 8814 9126 9464 9492 9828 10283 10647 10816 10848 11232 11752 12096 12168 12204 12656 12769 13104 13182 13221 14196 14238 15379 16224 16272 17472 17576 17628 18252 18928 18984 19097 19656 19773 20566 21294 21357 21696 22464 23504 24336 24408 25312 25538 26208 26364 26442 28392 28476 30758 30849 31941 32448 32544 35152 35256 36504 37856 37968 38194 38307 39312 39546 39663 41132 42588 42714 46137 47008 48672 48816 50624 51076 52416 52728 52884 56784 56952 57291 59319 61516 61698 63882 65088 70304 70512 73008 75712 75936 76388 76614 78624 79092 79326 82264 85176 85428 89383 92274 92547 94016 97344 97632 102152 105456 105768 113568 113904 114582 114921 118638 123032 123396 127764 133679 138411 140608 141024 146016 151872 152776 153228 157248 158184 158652 164528 165997 170352 170856 171873 178766 184548 185094 195264 204304 210912 211536 227136 227808 229164 229842 237276 246064 246792 248261 255528 267358 268149 276822 277641 282048 292032 305552 306456 316368 317304 329056 331994 340704 341712 343746 344763 357532 369096 370188 401037 408608 415233 421824 423072 455616 458328 459684 474552 492128 493584 496522 497991 511056 515619 534716 536298 553644 555282 611104 612912 632736 634608 658112 663988 681408 683424 687492 689526 715064 738192 740376 744783 802074 804447 817216 830466 846144 916656 919368 949104 984256 987168 993044 995982 1022112 1031238 1069432 1072596 1107288 1110564 1161979 1203111 1222208 1225824 1265472 1269216 1327976 1366848 1374984 1379052 1430128 1442897 1476384 1480752 1489566 1493973 1604148 1608894 1660932 1737827 1833312 1838736 1898208 1974336 1986088 1991964 2044224 2062476 2138864 2145192 2157961 2214576 2221128 2234349 2323958 2406222 2413341 2451648 2538432 2655952 2749968 2758104 2860256 2885794 2952768 2961504 2979132 2987946 3208296 3217788 3321864 3475654 3485937 3609333 3666624 3677472 3796416 3972176 3983928 4124952 4277728 4290384 4315922 4328691 4429152 4442256 4468698 4481919 4647916 4812444 4826682 5213481 5311904 5499936 5516208 5720512 5771588 5923008 5958264 5975892 6416592 6435576 6473883 6643728 6703047 6951308 6971874 7218666 7354944 7944352 7967856 8249904 8555456 8580768 8631844 8657382 8858304 8884512 8937396 8963838 9295832 9624888 9653364 10100279 10426962 10457811 10623808 10999872 11032416 11543176 11916528 11951784 12833184 12871152 12947766 12986073 13287456 13406094 13902616 13943748 14437332 15105727 15640443 15888704 15935712 16499808 17161536 17263688 17314764 17769024 17874792 17927676 18591664 18757661 19249776 19306728 19421649 20200558 20853924 20915622 22064832 23086352 23833056 23903568 25666368 25742304 25895532 25972146 26574912 26812188 27805232 27887496 28053493 28874664 30211454 30300837 31280886 31373433 31871424 32999616 34527376 34629528 35749584 35855352 37183328 37515322 38499552 38613456 38843298 38958219 40401116 41707848 41831244 45317181 46172704 46921329 47666112 47807136 51484608 51791064 51944292 53624376 55610464 55774992 56106986 56272983 57749328 58264947 60422908 60601674 62561772 62746866 69054752 69259056 71499168 71710704 74366656 75030644 76999104 77226912 77686596 77916438 80802232 83415696 83662488 84160479 90634362 90902511 92345408 93842658 95614272 103582128 103888584 107248752 111220928 111549984 112213972 112545966 115498656 116529894 120845816 121203348 125123544 125493732 131303627 135951543 138109504 138518112 142998336 143421408 150061288 154453824 155373192 155832876 161604464 166831392 167324976 168320958 168818949 181268724 181805022 187685316 196374451 207164256 207777168 214497504 223099968 224427944 225091932 230997312 233059788 241691632 242406696 243849593 250247088 250987464 252481437 262607254 271903086 272707533 277036224 286842816 300122576 310746384 311665752 323208928 333662784 334649952 336641916 337637898 362537448 363610044 375370632 392748902 393910881 407854629 414328512 415554336 428995008 448855888 450183864 466119576 483383264 484813392 487699186 500494176 501974928 504962874 506456847 525214508 543806172 545415066 589123353 600245152 621492768 623331504 646417856 669299904 673283832 675275796 725074896 727220088 731548779 750741264 757444311 785497804 787821762 815709258 831108672 897711776 900367728 932239152 966766528 969626784 975398372 1000988352 1003949856 1009925748 1012913694 1050429016 1087612344 1090830132 1178246706 1181732643 1200490304 1242985536 1246663008 1346567664 1350551592 1450149792 1454440176 1463097558 1501482528 1514888622 1570995608 1575643524 1631418516 1706947151 1767370059 1795423552 1800735456 1864478304 1939253568 1950796744 2007899712 2019851496 2025827388 2100858032 2175224688 2181660264 2194646337 2356493412 2363465286 2493326016 2693135328 2701103184 2900299584 2908880352 2926195116 3002965056 3029777244 3141991216 3151287048 3170044709 3262837032 3413894302 3534740118 3545197929 3601470912 3728956608 3901593488 4039702992 4051654776 4201716064 4350449376 4363320528 4389292674 4712986824 4726930572 5120841453 5302110177 5386270656 5402206368 5817760704 5852390232 6059554488 6283982432 6302574096 6340089418 6525674064 6583939011 6827788604 7069480236 7090395858 7803186976 8079405984 8103309552 8403432128 8700898752 8726641056 8778585348 9425973648 9453861144 9510134127 10241682906 10604220354 10804412736 11704780464 12119108976 12567964864 12605148192 12680178836 13051348128 13167878022 13655577208 14138960472 14180791716 15362524359 15606373952 16158811968 16206619104 17453282112 17557170696 18851947296 18907722288 19020268254 20483365812 21208440708 22190312963 23409560928 24238217952 25210296384 25360357672 26102696256 26335756044 27311154416 28277920944 28361583432 28530402381 30725048718 32413238208 35114341392 37703894592 37815444576 38040536508 40966731624 42416881416 44380625926 46087573077 46819121856 48476435904 50720715344 52671512088 54622308832 56555841888 56723166864 57060804762 61450097436 66570938889 70228682784 75630889152 76081073016 81933463248 84833762832 85591207143 88761251852 92175146154 101441430688 105343024176 109244617664 113111683776 113446333728 114121609524 122900194872 133141877778 140457365568 152162146032 163866926496 169667525664 171182414286 177522503704 184350292308 199712816667 202882861376 210686048352 226892667456 228243219048 245800389744 266283755556 304324292064 327733852992 339335051328 342364828572 355045007408 368700584616 399425633334 421372096704 456486438096 491600779488 532567511112 599138450001 608648584128 684729657144 710090014816 737401169232 798851266668 912972876192 983201558976 1065135022224 1198276900002 1369459314288 1420180029632 1474802338464 1597702533336 1825945752384 2130270044448 2396553800004 2738918628576 2949604676928 3195405066672 4260540088896 4793107600008 5477837257152 6390810133344 9586215200016 12781620266688 19172430400032 38344860800064
• Sum of all divisors σ(n): 140807700096000
• Sum of proper divisors (its aliquot sum) s(n): 102462839295936
• 38344860800064 is an abundant number, because the sum of its proper divisors (102462839295936) is greater than itself. Its abundance is 64117978495872

Bases of 38344860800064

• Binary: 1000101101111111011011110011101001010001000000₂
• Hexadecimal: 0x22DFDBCE9440
• Base-36: DLBDW32O0

Squares and roots of 38344860800064

• 38344860800064 squared (38344860800064²) is 1470328349776284782182404096
• 38344860800064 cubed (38344860800064³) is 56379535902559452128328287496529510662144
• The square root of 38344860800064 is 6192322.7306128029
• The cube root of 38344860800064 is 33721.1508899117

Scales and comparisons

• 38,344,860,800,064 seconds is equal to 1,219,247 years, 50 weeks, 1 day, 6 hours, 14 minutes, 24 seconds.
• To count from 1 to 38,344,860,800,064 would take you about three million, forty-eight thousand, one hundred nineteen 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 38344860800064 cubic inches would be around 2810.1 feet tall.

Recreational maths with 38344860800064

• 38344860800064 backwards is 46000806844383
• 38344860800064 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 38344860800064's digits is 54
• More coming soon!