106838022717504

Names of 106838022717504

• Cardinal: 106838022717504 can be written as One hundred six trillion, eight hundred thirty-eight billion, twenty-two million, seven hundred seventeen thousand, five hundred four.

Scientific notation

• Scientific notation: 1.06838022717504 × 10¹⁴

Factors of 106838022717504

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 427

Divisors of 106838022717504

• Number of divisors d(n): 693
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 169 192 208 216 234 243 288 312 324 338 351 409 416 432 468 486 507 576 624 648 676 702 729 818 832 864 936 972 1014 1053 1227 1248 1296 1352 1404 1458 1521 1636 1728 1872 1944 2028 2106 2187 2454 2496 2592 2704 2808 2916 3042 3159 3272 3681 3744 3888 4056 4212 4374 4563 4908 5184 5317 5408 5616 5832 6084 6318 6544 6561 7362 7488 7776 8112 8424 8748 9126 9477 9816 10634 10816 11043 11232 11664 12168 12636 13088 13122 13689 14724 15552 15951 16224 16848 17496 18252 18954 19632 19683 21268 22086 22464 23328 24336 25272 26176 26244 27378 28431 29448 31902 32448 33129 33696 34992 36504 37908 39264 39366 41067 42536 44172 46656 47853 48672 50544 52488 54756 56862 58896 59049 63804 66258 67392 69121 69984 73008 75816 78528 78732 82134 85072 85293 88344 95706 97344 99387 101088 104976 109512 113724 117792 118098 123201 127608 132516 138242 139968 143559 146016 151632 157464 164268 167281 170144 170586 176688 191412 198774 202176 207363 209952 219024 227448 235584 236196 246402 255216 255879 265032 276484 287118 292032 298161 303264 314928 328536 334562 340288 341172 353376 369603 382824 397548 414726 419904 430677 438048 454896 472392 492804 501843 510432 511758 530064 552968 574236 596322 606528 622089 629856 657072 669124 682344 706752 739206 765648 767637 795096 829452 861354 876096 894483 909792 944784 985608 1003686 1020864 1023516 1060128 1105936 1108809 1148472 1192644 1244178 1259712 1292031 1314144 1338248 1364688 1478412 1505529 1531296 1535274 1590192 1658904 1722708 1788966 1819584 1866267 1889568 1971216 2007372 2047032 2120256 2174653 2211872 2217618 2296944 2385288 2488356 2584062 2628288 2676496 2683449 2729376 2956824 3011058 3062592 3070548 3180384 3317808 3326427 3445416 3577932 3732534 3779136 3876093 3942432 4014744 4094064 4349306 4423744 4435236 4516587 4593888 4770576 4976712 5168124 5352992 5366898 5458752 5598801 5913648 6022116 6141096 6360768 6523959 6635616 6652854 6890832 7155864 7465068 7752186 7884864 8029488 8050347 8188128 8698612 8870472 9033174 9187776 9541152 9953424 9979281 10336248 10705984 10733796 11197602 11628279 11827296 12044232 12282192 13047918 13271232 13305708 13549761 13781664 14311728 14930136 15504372 16058976 16100694 16376256 16796403 17397224 17740944 18066348 19082304 19571877 19906848 19958562 20672496 21467592 22395204 23256558 23654592 24088464 24151041 24564384 26095836 26611416 27099522 27563328 28270489 28623456 29860272 31008744 32117952 32201388 33592806 34794448 34884837 35481888 36132696 39143754 39813696 39917124 40649283 41344992 42935184 44790408 46513116 48176928 48302082 49128768 50389209 52191672 53222832 54199044 56540978 57246912 58715631 59720544 62017488 64402776 67185612 69588896 69769674 70963776 72265392 78287508 79834248 81298566 82689984 84811467 85870368 89580816 93026232 96353856 96604164 100778418 104383344 104654511 106445664 108398088 113081956 117431262 119441088 121947849 124034976 128805552 134371224 139177792 139539348 144530784 151167627 156575016 159668496 162597132 169622934 171740736 176146893 179161632 186052464 193208328 201556836 208766688 209309022 212891328 216796176 226163912 234862524 243895698 248069952 254434401 257611104 268742448 279078696 289061568 302335254 313150032 313963533 319336992 325194264 339245868 352293786 358323264 365843547 372104928 386416656 403113672 417533376 418618044 433592352 452327824 453502881 469725048 487791396 508868802 515222208 528440679 537484896 558157392 604670508 626300064 627927066 638673984 650388528 678491736 704587572 731687094 744209856 763303203 772833312 806227344 837236088 867184704 904655648 907005762 939450096 975582792 1017737604 1056881358 1074969792 1097530641 1116314784 1209341016 1252600128 1255854132 1300777056 1356983472 1360508643 1409175144 1463374188 1526606406 1545666624 1585322037 1612454688 1674472176 1809311296 1814011524 1878900192 1951165584 2035475208 2113762716 2195061282 2232629568 2289909609 2418682032 2511708264 2601554112 2713966944 2721017286 2818350288 2926748376 3053212812 3170644074 3224909376 3292591923 3348944352 3628023048 3757800384 3902331168 4070950416 4081525929 4227525432 4390122564 4579819218 4755966111 4837364064 5023416528 5427933888 5442034572 5636700576 5853496752 6106425624 6341288148 6585183846 6697888704 6869728827 7256046096 7804662336 8141900832 8163051858 8455050864 8780245128 9159638436 9511932222 9674728128 9877775769 10046833056 10884069144 11273401152 11706993504 12212851248 12682576296 13170367692 13739457654 14267898333 14512092192 16283801664 16326103716 16910101728 17560490256 18319276872 19023864444 19755551538 20093666112 20609186481 21768138288 23413987008 24425702496 25365152592 26340735384 27478915308 28535796666 29024184384 32652207432 33820203456 35120980512 36638553744 38047728888 39511103076 41218372962 42803694999 43536276576 48851404992 50730305184 52681470768 54957830616 57071593332 61827559443 65304414864 70241961024 73277107488 76095457776 79022206152 82436745924 85607389998 87072553152 101460610368 105362941536 109915661232 114143186664 123655118886 128411084997 130608829728 146554214976 152190915552 158044412304 164873491848 171214779996 185482678329 210725883072 219831322464 228286373328 247310237772 256822169994 261217659456 304381831104 316088824608 329746983696 342429559992 370965356658 439662644928 456572746656 494620475544 513644339988 556448034987 632177649216 659493967392 684859119984 741930713316 913145493312 989240951088 1027288679976 1112896069974 1318987934784 1369718239968 1483861426632 1669344104961 1978481902176 2054577359952 2225792139948 2739436479936 2967722853264 3338688209922 3956963804352 4109154719904 4451584279896 5935445706528 6677376419844 8218309439808 8903168559792 11870891413056 13354752839688 17806337119584 26709505679376 35612674239168 53419011358752 106838022717504
• Sum of all divisors σ(n): 345196131370263
• Sum of proper divisors (its aliquot sum) s(n): 238358108652759
• 106838022717504 is an abundant number, because the sum of its proper divisors (238358108652759) is greater than itself. Its abundance is 131520085935255

Bases of 106838022717504

• Binary: 11000010010101100101010011001001000000001000000₂
• Hexadecimal: 0x612B2A648040
• Base-36: 11VCPK9000

Squares and roots of 106838022717504

• 106838022717504 squared (106838022717504²) is 11414363098185900788987990016
• 106838022717504 cubed (106838022717504³) is 1219487983989824608984492794767227140440064
• 106838022717504 is a perfect square number. Its square root is 10336248
• The cube root of 106838022717504 is 47450.6261058561

Scales and comparisons

• 106,838,022,717,504 seconds is equal to 3,397,118 years, 33 weeks, 5 days, 20 hours, 38 minutes, 24 seconds.
• To count from 1 to 106,838,022,717,504 would take you about eight million, four hundred ninety-two thousand, seven hundred ninety-six 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 106838022717504 cubic inches would be around 3954.2 feet tall.

Recreational maths with 106838022717504

• 106838022717504 backwards is 405717220838601
• 106838022717504 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 106838022717504's digits is 54
• More coming soon!