106978858272

Names of 106978858272

• Cardinal: 106978858272 can be written as One hundred six billion, nine hundred seventy-eight million, eight hundred fifty-eight thousand, two hundred seventy-two.

Scientific notation

• Scientific notation: 1.06978858272 × 10¹¹

Factors of 106978858272

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 130

Divisors of 106978858272

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 17 18 22 24 26 27 31 32 33 34 36 39 44 48 51 52 53 54 62 66 68 72 78 88 93 96 99 102 104 106 108 117 124 132 136 143 144 153 156 159 176 186 187 198 204 208 212 216 221 234 248 264 272 279 286 288 297 306 312 318 341 351 352 372 374 396 403 408 416 424 429 432 442 459 468 477 496 527 528 544 558 561 572 583 594 612 624 636 663 682 689 702 744 748 792 806 816 837 848 858 864 884 901 918 936 954 961 992 1023 1054 1056 1116 1122 1144 1166 1188 1209 1224 1248 1272 1287 1326 1364 1378 1404 1431 1488 1496 1581 1584 1612 1632 1643 1674 1683 1696 1716 1749 1768 1802 1836 1872 1908 1922 1989 2046 2067 2108 2232 2244 2288 2332 2376 2418 2431 2448 2544 2574 2652 2703 2728 2756 2808 2862 2883 2976 2992 3069 3162 3168 3224 3286 3348 3366 3432 3498 3536 3604 3627 3672 3744 3816 3844 3861 3978 4092 4134 4216 4433 4464 4488 4576 4664 4743 4752 4836 4862 4896 4929 5049 5088 5148 5247 5304 5406 5456 5512 5616 5724 5766 5797 5967 5984 6138 6201 6324 6448 6572 6696 6732 6851 6864 6996 7072 7208 7254 7293 7344 7579 7632 7688 7722 7956 8109 8184 8268 8432 8649 8866 8928 8976 9207 9328 9486 9504 9672 9724 9858 9911 10098 10296 10494 10571 10608 10812 10881 10912 11024 11232 11448 11532 11594 11713 11934 12276 12402 12493 12648 12896 13144 13299 13392 13464 13702 13728 13992 14229 14416 14508 14586 14688 14787 15158 15264 15376 15444 15741 15912 16218 16337 16368 16536 16864 17298 17391 17732 17952 18073 18414 18603 18656 18972 19344 19448 19716 19822 20196 20553 20592 20988 21142 21216 21359 21624 21762 21879 22048 22737 22896 23064 23188 23426 23868 24327 24552 24804 24986 25296 25947 26288 26598 26784 26928 27404 27931 27984 28458 28832 29016 29172 29574 29733 30316 30752 30888 31482 31713 31824 32436 32674 32736 33072 34596 34782 35139 35464 36146 36828 37206 37479 37944 38688 38896 39432 39644 39897 40392 41106 41184 41976 42284 42718 43248 43524 43758 44361 45474 45792 46128 46376 46852 47736 48654 49011 49104 49608 49972 50592 50933 51894 52173 52576 53196 53856 54219 54808 55862 55968 56916 58032 58344 59148 59466 60632 61659 61776 62964 63426 63648 64077 64872 65348 65637 66144 68211 69192 69564 70278 70928 72292 73656 74412 74958 75361 75888 77792 78864 79288 79794 80784 82212 83793 83952 84568 85436 86496 87048 87516 88722 89199 90948 92256 92752 93704 95139 95472 97308 98022 98208 99216 99944 101866 103788 104346 105417 106392 108438 109616 111724 112437 113832 116064 116688 118296 118932 119691 121264 123318 123552 125928 126852 128154 128843 129744 130696 131274 136422 137423 138384 139128 140556 141856 144584 147033 147312 148824 149916 150722 151776 152799 156519 157728 158576 159588 161568 162657 164424 167586 167904 169136 170872 174096 175032 177444 178398 179707 181896 184977 185504 187408 190278 190944 192231 194616 196044 198432 199888 203732 204633 207576 208692 210834 212381 212784 216876 219232 223448 224874 226083 227664 233376 234949 236592 237864 239382 242528 246636 251379 251856 253704 256308 257686 259488 261392 262548 267597 272844 274846 276768 278256 281112 285417 289168 294066 294624 297648 299832 301444 305598 307241 313038 316251 317152 319176 325314 328848 335172 337311 338272 341744 348192 350064 354888 356796 359414 363103 363792 369954 374816 380556 384462 386529 389232 392088 399776 407464 409266 412269 415152 417384 421668 424762 425568 433752 441099 446896 449748 452166 455328 458397 469898 473184 475728 478764 487971 493272 502758 503712 507408 512616 515372 522784 525096 535194 539121 545688 549692 556512 560263 562224 570834 576693 578336 588132 595296 599664 602888 611196 614482 626076 632502 637143 638352 650628 657696 662129 670344 674622 678249 683488 700128 704847 709776 713592 718828 726206 727584 739908 754137 761112 768924 773058 778464 784176 814928 818532 824538 830304 834768 843336 849524 865861 867504 882198 893792 899496 904332 916794 921723 939796 951456 957528 975942 986544 1005516 1014816 1025232 1030744 1050192 1070388 1078242 1089309 1091376 1099384 1120526 1124448 1141668 1153386 1159587 1176264 1199328 1205776 1222392 1228964 1236807 1252152 1265004 1274286 1276704 1301256 1324258 1340688 1349244 1356498 1375191 1409694 1419552 1427184 1437656 1452412 1479816 1508274 1522224 1537848 1546116 1568352 1617363 1629856 1637064 1649076 1669536 1680789 1686672 1699048 1731722 1735008 1764396 1798992 1808664 1833588 1843446 1879592 1911429 1915056 1951884 1973088 1986387 2011032 2034747 2050464 2061488 2100384 2114541 2140776 2156484 2178618 2182752 2198768 2241052 2283336 2306772 2319174 2336191 2352528 2411552 2444784 2457928 2473614 2504304 2530008 2548572 2597583 2602512 2648516 2681376 2698488 2712996 2750382 2765169 2819388 2854368 2875312 2904824 2959632 3016548 3044448 3075696 3092232 3234726 3267927 3274128 3298152 3361578 3373344 3398096 3463444 3478761 3528792 3597984 3617328 3667176 3686892 3710421 3759184 3822858 3830112 3903768 3972774 3994133 4022064 4069494 4122976 4229082 4281552 4312968 4357236 4397536 4482104 4566672 4613544 4638348 4672382 4705056 4852089 4889568 4915856 4947228 5008608 5042367 5060016 5097144 5195166 5205024 5297032 5396976 5425992 5500764 5530338 5638776 5734287 5750624 5809648 5919264 5959161 6033096 6151392 6184464 6343623 6469452 6535854 6548256 6596304 6723156 6796192 6926888 6957522 7008573 7057584 7234656 7283419 7334352 7373784 7420842 7518368 7645716 7792749 7807536 7945548 7988266 8044128 8138988 8295507 8458164 8563104 8625936 8714472 8964208 9133344 9227088 9276696 9344764 9524471 9704178 9803781 9831712 9894456 10084734 10120032 10194288 10390332 10594064 10793952 10851984 11001528 11060676 11256193 11277552 11468574 11619296 11918322 11982399 12066192 12368928 12687246 12938904 13071708 13192608 13446312 13853776 13915044 14017146 14115168 14566838 14668704 14747568 14841684 15127101 15291432 15585498 15615072 15891096 15976532 16277976 16591014 16916328 17251872 17428944 17877483 17928416 18454176 18553392 18689528 19048942 19408356 19607562 19788912 20169468 20388576 20780664 21025719 21188128 21703968 21850257 22003056 22121352 22512386 22555104 22937148 23378247 23836644 23964798 24132384 25374492 25877808 26143416 26892624 27707552 27830088 28034292 28573413 29133676 29495136 29683368 30254202 30582864 31170996 31782192 31953064 32555952 33182028 33768579 33832656 34857888 35754966 35947197 37106784 37379056 38097884 38816712 39215124 39577824 40338936 41561328 42051438 43700514 44006112 44242704 45024772 45874296 46756494 47673288 47929596 50748984 51755616 52286832 53785248 55660176 56068584 57146826 58267352 59366736 60508404 61165728 62341992 63077157 63564384 63906128 65111904 65550771 66364056 67537158 67665312 71509932 71894394 74758112 76195768 77633424 78430248 80677872 83122656 84102876 85720239 87401028 88485408 90049544 91748592 93512988 95346576 95859192 101305737 101497968 104573664 107841591 111320352 112137168 114293652 116534704 118733472 121016808 123818123 124683984 126154314 127812256 131101542 132728112 135074316 143019864 143788788 152391536 155266848 156860496 161355744 168205752 171440478 174802056 180099088 183497184 187025976 190693152 191718384 196652313 202611474 202995936 215683182 224274336 228587304 233069408 242033616 247636246 249367968 252308628 257160717 262203084 265456224 270148632 286039728 287577576 303917211 304783072 313720992 336411504 342880956 349604112 360198176 371454369 374051952 383436768 393304626 405222948 431366364 457174608 484067232 495272492 504617256 514321434 524406168 540297264 572079456 575155152 607834422 672823008 685761912 699208224 742908738 748103904 786609252 810445896 862732728 914349216 990544984 1009234512 1028642868 1048812336 1080594528 1114363107 1150310304 1215668844 1371523824 1485817476 1573218504 1620891792 1725465456 1981089968 2018469024 2057285736 2097624672 2228726214 2431337688 2743047648 2971634952 3146437008 3241783584 3343089321 3450930912 3962179936 4114571472 4457452428 4862675376 5943269904 6292874016 6686178642 8229142944 8914904856 9725350752 11886539808 13372357284 17829809712 26744714568 35659619424 53489429136 106978858272
• Sum of all divisors σ(n): 408625378560
• Sum of proper divisors (its aliquot sum) s(n): 301646520288
• 106978858272 is an abundant number, because the sum of its proper divisors (301646520288) is greater than itself. Its abundance is 194667662016

Bases of 106978858272

• Binary: 1100011101000011011111101010100100000₂
• Hexadecimal: 0x18E86FD520
• Base-36: 1D58G7C0

Squares and roots of 106978858272

• 106978858272 squared (106978858272²) is 11444476117180662825984
• 106978858272 cubed (106978858272³) is 1224316988537158992679961334939648
• The square root of 106978858272 is 327076.2270052655
• The cube root of 106978858272 is 4747.1467003721

Scales and comparisons

• 106,978,858,272 seconds is equal to 3,401 years, 31 weeks, 5 hours, 31 minutes, 12 seconds.
• To count from 1 to 106,978,858,272 would take you about six thousand, eight hundred 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 106978858272 cubic inches would be around 395.6 feet tall.

Recreational maths with 106978858272

• 106978858272 backwards is 272858879601
• The number of decimal digits it has is: 12
• The sum of 106978858272's digits is 63
• More coming soon!