106738417968

Names of 106738417968

• Cardinal: 106738417968 can be written as One hundred six billion, seven hundred thirty-eight million, four hundred seventeen thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 1.06738417968 × 10¹¹

Factors of 106738417968

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 212

Divisors of 106738417968

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 38 39 41 42 48 52 56 57 76 78 82 84 91 104 112 114 123 127 133 152 156 164 168 169 182 208 228 246 247 254 266 273 287 304 312 328 336 338 361 364 381 399 456 492 494 507 508 532 533 546 574 624 656 676 722 728 741 762 779 798 861 889 912 984 988 1014 1016 1064 1066 1083 1092 1148 1183 1352 1444 1456 1482 1524 1558 1596 1599 1651 1722 1729 1778 1968 1976 2028 2032 2128 2132 2166 2184 2296 2337 2366 2413 2527 2667 2704 2888 2964 3048 3116 3192 3198 3211 3302 3444 3458 3549 3556 3731 3952 4056 4264 4332 4368 4592 4674 4693 4732 4826 4953 5054 5187 5207 5334 5453 5776 5928 6096 6232 6384 6396 6422 6604 6888 6916 6929 7098 7112 7239 7462 7581 8112 8528 8664 9348 9386 9464 9633 9652 9906 10108 10127 10374 10414 10668 10906 11193 11557 11856 12464 12792 12844 13208 13776 13832 13858 14079 14196 14224 14478 14801 14924 15162 15621 16359 16891 17328 18696 18772 18928 19266 19304 19812 20216 20254 20748 20787 20828 21336 21463 21812 22386 22477 23114 25584 25688 26416 27664 27716 28158 28392 28956 29602 29848 30324 30381 31242 31369 32718 32851 33782 34671 36449 37392 37544 38532 38608 39624 40432 40508 41496 41574 41656 42672 42926 43624 44403 44772 44954 45847 46228 48503 50673 51376 55432 56316 56784 57912 59204 59696 60648 60762 61009 62484 62738 64389 65436 65702 67431 67564 67691 69342 70889 72898 75088 77064 79248 81016 82992 83148 83312 85852 87248 88806 89544 89908 91694 92456 94107 97006 98553 98933 101346 103607 109347 110864 112632 115824 118408 121296 121524 122018 124968 125476 128778 130872 131404 131651 134862 135128 135382 137541 138684 141778 145509 145796 150241 154128 162032 166296 171704 177612 179088 179816 183027 183388 184912 188214 192413 194012 197106 197866 202692 203073 207214 212667 218694 219583 225264 236816 243048 244036 249936 250952 257556 261744 262808 263302 269724 270256 270764 275082 277368 283556 291018 291592 296799 300482 310821 320929 332592 343408 355224 359632 366054 366776 376428 384826 388024 394212 394953 395732 405384 406146 407797 414428 425334 427063 437388 439166 450723 473837 486096 488072 501904 515112 525616 526604 539448 541528 550164 554736 567112 577239 582036 583184 593598 596011 600964 621642 641858 658749 692531 710448 732108 733552 752856 769652 776048 788424 789906 791464 810768 812292 815594 828856 850668 854126 874776 878332 879983 901446 921557 947674 962787 976144 1030224 1053208 1078896 1083056 1100328 1134224 1154478 1164072 1187196 1192022 1201928 1223391 1243284 1281189 1283716 1286129 1317498 1346891 1385062 1421511 1464216 1505712 1539304 1576848 1579812 1582928 1624584 1631188 1657712 1701336 1708252 1749552 1756664 1759966 1788033 1802892 1843114 1879727 1895348 1925574 2077593 2106416 2200656 2308956 2328144 2374392 2384044 2403856 2446782 2486568 2501369 2562378 2567432 2572258 2634996 2639949 2693782 2764671 2770124 2843022 2854579 2928432 3078608 3159624 3249168 3262376 3402672 3416504 3513328 3519932 3576066 3605784 3686228 3759454 3790696 3851148 3858387 4040673 4155186 4172077 4617912 4748784 4768088 4893564 4973136 5002738 5124756 5134864 5144516 5269992 5279898 5387564 5529342 5540248 5639181 5686044 5709158 6159881 6319248 6524752 6833008 7039864 7152132 7211568 7372456 7504107 7518908 7581392 7702296 7716774 7748143 8081346 8310372 8344154 8563737 9002903 9235824 9536176 9787128 10005476 10249512 10289032 10539984 10559796 10775128 11058684 11080496 11278362 11372088 11418316 12319762 12516231 13158089 14079728 14304264 14744912 15008214 15037816 15404592 15433548 15496286 16162692 16620744 16688308 16719677 17127474 17509583 18005806 18479643 19574256 20010952 20499024 20578064 21119592 21550256 22117368 22556724 22744176 22836632 23244429 24436451 24639524 25032462 26316178 27008709 28608528 30016428 30075632 30867096 30992572 32325384 33241488 33376616 33439354 34254948 35019166 36011612 36959286 39474267 40021904 42239184 44234736 45113448 45673264 46488858 48872902 49279048 50064924 50159031 52528749 52632356 54017418 54237001 60032856 61734192 61985144 64650768 66753232 66878708 68509896 70038332 72023224 73309353 73918572 78948534 90226896 92977716 97745804 98558096 100129848 100318062 105057498 105264712 108034836 108474002 117037739 120065712 123970288 133757416 137019792 140076664 144046448 146618706 147837144 157897068 162711003 171055157 185955432 195491608 200259696 200636124 210114996 210529424 216069672 216948004 234075478 267514832 280153328 293237412 295674288 315794136 317673863 325422006 342110314 351113217 371910864 390983216 401272248 420229992 432139344 433896008 468150956 513165471 586474824 631588272 635347726 650844012 684220628 702226434 802544496 840459984 867792016 936301912 953021589 1026330942 1172949648 1270695452 1301688024 1368441256 1404452868 1872603824 1906043178 2052661884 2223717041 2541390904 2603376048 2736882512 2808905736 3812086356 4105323768 4447434082 5082781808 5617811472 6671151123 7624172712 8210647536 8894868164 13342302246 15248345424 17789736328 26684604492 35579472656 53369208984 106738417968
• Sum of all divisors σ(n): 371832201216
• Sum of proper divisors (its aliquot sum) s(n): 265093783248
• 106738417968 is an abundant number, because the sum of its proper divisors (265093783248) is greater than itself. Its abundance is 158355365280

Bases of 106738417968

• Binary: 1100011011010000110110000000100110000₂
• Hexadecimal: 0x18DA1B0130
• Base-36: 1D19AQEO

Squares and roots of 106738417968

• 106738417968 squared (106738417968²) is 11393089870311465249024
• 106738417968 cubed (106738417968³) is 1216080388524292092092830916063232
• The square root of 106738417968 is 326708.4602026707
• The cube root of 106738417968 is 4743.5875498217

Scales and comparisons

• 106,738,417,968 seconds is equal to 3,393 years, 49 weeks, 3 days, 8 hours, 32 minutes, 48 seconds.
• To count from 1 to 106,738,417,968 would take you about six thousand, seven hundred eighty-seven 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 106738417968 cubic inches would be around 395.3 feet tall.

Recreational maths with 106738417968

• 106738417968 backwards is 869714837601
• The number of decimal digits it has is: 12
• The sum of 106738417968's digits is 60
• More coming soon!