32468964916752

Names of 32468964916752

• Cardinal: 32468964916752 can be written as Thirty-two trillion, four hundred sixty-eight billion, nine hundred sixty-four million, nine hundred sixteen thousand, seven hundred fifty-two.

Scientific notation

• Scientific notation: 3.2468964916752 × 10¹³

Factors of 32468964916752

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1045

Divisors of 32468964916752

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 29 36 39 42 48 52 54 56 58 63 72 78 84 87 91 104 108 112 116 117 126 144 156 168 174 182 189 203 208 216 232 234 252 261 273 312 336 348 351 364 377 378 406 432 464 468 504 522 546 609 624 696 702 728 754 756 783 812 819 841 936 991 1008 1044 1092 1131 1218 1392 1404 1456 1508 1512 1566 1624 1638 1682 1827 1872 1982 2088 2184 2262 2436 2457 2523 2639 2808 2973 3016 3024 3132 3248 3276 3364 3393 3654 3964 4176 4368 4524 4872 4914 5046 5278 5481 5616 5887 5946 6032 6264 6552 6728 6786 6937 7308 7569 7917 7928 8919 9048 9744 9828 10092 10179 10556 10933 10962 11774 11892 12528 12883 13104 13456 13572 13874 14616 15138 15834 15856 17661 17838 18096 19656 20184 20358 20811 21112 21866 21924 22707 23548 23751 23784 25766 26757 27144 27748 28739 29232 30276 31668 32799 35322 35676 38649 39312 40368 40716 41622 42224 43732 43848 45414 47096 47502 47568 51532 52983 53514 54288 55496 57478 60552 62433 63336 65598 70644 71253 71352 76531 77298 81432 83244 86217 87464 87696 90181 90828 94192 95004 98397 103064 105966 107028 110992 114956 115947 121104 124866 126672 131196 141288 142506 142704 153062 154596 158949 162864 166488 172434 174928 180362 181656 187299 190008 196794 201173 206128 211932 214056 229593 229912 231894 249732 258651 262392 270543 282576 285012 295191 306124 309192 317898 332976 344868 347841 360724 363312 373607 374598 380016 393588 402346 423864 428112 459186 459824 463788 499464 517302 524784 541086 570024 590382 603519 612248 618384 635796 688779 689736 695682 721448 747214 749196 775953 787176 804692 811629 833431 847728 918372 927576 982081 998928 1034604 1082172 1120821 1140048 1180764 1207038 1224496 1271592 1377558 1379472 1391364 1442896 1494428 1498392 1551906 1574352 1609384 1623258 1666862 1810557 1836744 1855152 1964162 2066337 2069208 2164344 2241642 2361528 2414076 2434887 2500293 2543184 2615249 2755116 2782728 2946243 2988856 2996784 3103812 3218768 3246516 3333724 3362463 3621114 3673488 3928324 4132674 4138416 4328688 4483284 4723056 4828152 4869774 5000586 5230498 5431671 5510232 5565456 5834017 5892486 5977712 6207624 6493032 6667448 6724926 6874567 7242228 7500879 7845747 7856648 8265348 8838729 8966568 9656304 9739548 10001172 10087389 10460996 10834603 10863342 11020464 11668034 11784972 12415248 12767053 12986064 13334896 13449852 13749134 14484456 15001758 15691494 15713296 16530696 17502051 17677458 17933136 19479096 20002344 20174778 20623701 20921992 21669206 21726684 22502637 23336068 23537241 23569944 25534106 26516187 26899704 27498268 28480349 28968912 30003516 31382988 32503809 33061392 35004102 35354916 38301159 38958192 40004688 40349556 41247402 41843984 43338412 43453368 45005274 46672136 47074482 47139888 51068212 52506153 53032374 53799408 54996536 56960698 60007032 61871103 62765976 65007618 70008204 70611723 70709832 75842221 76602318 80699112 82494804 85441047 86676824 86906736 89369371 90010548 93344272 94148964 97511427 102136424 105012306 106064748 109993072 113921396 114903477 120014064 123742206 125531952 130015236 140016408 141223446 141419664 151684442 153204636 157518459 161398224 164989608 170882094 173353648 178738742 180021096 185613309 188297928 195022854 199362443 204272848 210024612 212129496 227526663 227842792 229806954 247484412 256323141 260030472 268108113 280032816 282446892 292534281 303368884 306409272 315036918 329979216 341764188 344710431 357477484 360042192 370244537 371226618 376595856 390045708 398724886 420049224 424258992 455053326 455685584 459613908 494968824 512646282 520060944 536216226 564893784 585068562 598087329 606737768 612818544 630073836 682579989 683528376 689420862 714954968 740489074 742453236 768969423 780091416 797449772 804324339 825930121 840098448 910106652 919227816 989937648 1025292564 1072432452 1110733611 1129787568 1170137124 1196174658 1213475536 1260147672 1365159978 1367056752 1378841724 1429909936 1480978148 1484906472 1537938846 1560182832 1594899544 1608648678 1651860242 1794261987 1820213304 1838455632 2047739967 2050585128 2144864904 2221467222 2340274248 2392349316 2412973017 2477790363 2520295344 2591711759 2730319956 2757683448 2961956296 2969812944 3075877692 3189799088 3217297356 3303720484 3332200833 3588523974 3640426608 4095479934 4101170256 4289729808 4442934444 4680548496 4784698632 4825946034 4955580726 5183423518 5382785961 5460639912 5515366896 5781510847 5923912592 6151755384 6434594712 6607440968 6664401666 7177047948 7433371089 7775135277 8190959868 8885868888 9569397264 9651892068 9911161452 9996602499 10366847036 10737091573 10765571922 10921279824 11563021694 12303510768 12869189424 13214881936 13328803332 14354095896 14866742178 15550270554 16381919736 17344532541 17771737776 19303784136 19822322904 19993204998 20733694072 21474183146 21531143844 22300113267 23126043388 23325405831 26657606664 28708191792 29733484356 31100541108 32211274719 32763839472 34689065082 38607568272 39644645808 39986409996 41467388144 42948366292 43062287688 44600226534 46252086776 46650811662 52033597623 53315213328 59466968712 62201082216 64422549438 69378130164 69976217493 75159641011 79972819992 85896732584 86124575376 89200453068 92504173552 93301623324 96633824157 104067195246 118933937424 124402164432 128845098876 138756260328 139952434986 150319282022 156100792869 159945639984 171793465168 178400906136 186603246648 193267648314 208134390492 225478923033 257690197752 277512520656 279904869972 289901472471 300638564044 312201585738 356801812272 373206493296 386535296628 416268780984 450957846066 515380395504 559809739944 579802944942 601277128088 624403171476 676436769099 773070593256 832537561968 901915692132 1119619479888 1159605889884 1202554256176 1248806342952 1352873538198 1546141186512 1803831384264 2029310307297 2319211779768 2497612685904 2705747076396 3607662768528 4058620614594 4638423559536 5411494152792 8117241229188 10822988305584 16234482458376 32468964916752
• Sum of all divisors σ(n): 118916914247040
• Sum of proper divisors (its aliquot sum) s(n): 86447949330288
• 32468964916752 is an abundant number, because the sum of its proper divisors (86447949330288) is greater than itself. Its abundance is 53978984413536

Bases of 32468964916752

• Binary: 111011000011111000101000111101011111000010000₂
• Hexadecimal: 0x1D87C51EBE10
• Base-36: BIC1BDYC0

Squares and roots of 32468964916752

• 32468964916752 squared (32468964916752²) is 1054233682765272210290229504
• 32468964916752 cubed (32468964916752³) is 34229876459763880988542720645102334251008
• The square root of 32468964916752 is 5698154.5185043903
• The cube root of 32468964916752 is 31902.3602308755

Scales and comparisons

• 32,468,964,916,752 seconds is equal to 1,032,412 years, 33 weeks, 6 days, 1 hour, 19 minutes, 12 seconds.
• To count from 1 to 32,468,964,916,752 would take you about two million, five hundred eighty-one thousand and thirty-one 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 32468964916752 cubic inches would be around 2658.5 feet tall.

Recreational maths with 32468964916752

• 32468964916752 backwards is 25761946986423
• 32468964916752 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 32468964916752's digits is 72
• More coming soon!