34385655913728

Names of 34385655913728

• Cardinal: 34385655913728 can be written as Thirty-four trillion, three hundred eighty-five billion, six hundred fifty-five million, nine hundred thirteen thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 3.4385655913728 × 10¹³

Factors of 34385655913728

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 192

Divisors of 34385655913728

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 49 51 56 64 68 84 96 98 102 112 119 128 136 147 163 168 192 196 204 224 238 256 272 289 294 326 336 343 357 384 392 408 448 476 489 544 578 588 652 672 686 714 768 784 816 833 867 896 952 978 1029 1088 1141 1156 1176 1304 1344 1372 1428 1568 1632 1666 1734 1792 1904 1956 2023 2058 2176 2282 2312 2352 2499 2608 2688 2744 2771 2856 3136 3264 3332 3423 3468 3808 3912 4046 4116 4352 4564 4624 4704 4913 4998 5216 5376 5488 5542 5712 5831 6069 6272 6528 6664 6846 6936 7616 7824 7987 8092 8232 8313 9128 9248 9408 9826 9996 10432 10976 11084 11424 11662 12138 12544 13056 13328 13692 13872 14161 14739 15232 15648 15974 16184 16464 16626 17493 18256 18496 18816 19397 19652 19992 20864 21952 22168 22848 23324 23961 24276 26569 26656 27384 27744 28322 29478 30464 31296 31948 32368 32928 33252 34391 34986 36512 36992 37632 38794 39304 39984 41728 42483 43904 44336 45696 46648 47107 47922 48552 53138 53312 54768 55488 55909 56644 58191 58956 62592 63896 64736 65856 66504 68782 69972 73024 73984 77588 78608 79707 79968 84966 87808 88672 91392 93296 94214 95844 97104 99127 103173 106276 106624 109536 110976 111818 113288 116382 117912 125184 127792 129472 131712 133008 135779 137564 139944 141321 146048 155176 157216 159414 159936 167727 169932 177344 185983 186592 188428 191688 194208 198254 206346 212552 213248 219072 221952 223636 226576 232764 235824 240737 255584 258944 263424 266016 271558 275128 279888 282642 292096 297381 310352 314432 318828 319872 329749 335454 339864 354688 371966 373184 376856 383376 388416 396508 407337 412692 425104 438144 447272 451673 453152 465528 471648 481474 511168 517888 532032 543116 550256 557949 559776 565284 594762 620704 628864 637656 639744 659498 670908 679728 709376 722211 743932 746368 753712 766752 776832 793016 800819 814674 825384 850208 876288 894544 903346 906304 931056 943296 950453 962948 989247 1022336 1064064 1086232 1100512 1115898 1119552 1130568 1189524 1241408 1257728 1275312 1301881 1318996 1341816 1355019 1359456 1444422 1487864 1492736 1507424 1533504 1553664 1586032 1601638 1629348 1650768 1685159 1700416 1789088 1806692 1812608 1862112 1886592 1900906 1925896 1978494 2044672 2128128 2172464 2201024 2231796 2239104 2261136 2308243 2379048 2402457 2482816 2550624 2603762 2637992 2683632 2710038 2718912 2851359 2888844 2975728 3014848 3067008 3161711 3172064 3203276 3258696 3301536 3370318 3400832 3578176 3613384 3625216 3724224 3773184 3801812 3851792 3905643 3956988 4344928 4402048 4463592 4478208 4522272 4616486 4758096 4804914 4965632 5055477 5101248 5207524 5275984 5367264 5420076 5437824 5605733 5702718 5777688 5951456 6029696 6134016 6323422 6344128 6406552 6517392 6603072 6740636 6801664 6924729 7156352 7226768 7448448 7603624 7678441 7703584 7811286 7913976 8689856 8804096 8927184 9044544 9113167 9232972 9485133 9516192 9609828 10110954 10202496 10415048 10551968 10734528 10840152 10875648 11211466 11405436 11555376 11902912 12059392 12646844 12688256 12813104 13034784 13206144 13481272 13849458 14312704 14453536 14896896 15207248 15356882 15407168 15622572 15827952 16157701 16817199 17379712 17854368 18089088 18226334 18465944 18970266 19032384 19219656 20221908 20404992 20830096 21103936 21469056 21680304 22131977 22422932 22810872 23035323 23110752 23805824 25293688 25376512 25626208 26069568 26412288 26962544 27339501 27698916 28907072 30414496 30713764 30814336 31245144 31655904 32315402 33634398 34759424 35708736 36178176 36452668 36931888 37940532 38064768 38439312 39240131 40443816 41660192 42207872 42938112 43360608 44263954 44845864 45621744 46070646 46221504 47611648 48473103 50587376 51252416 52139136 53749087 53925088 54679002 55397832 57814144 60828992 61427528 61628672 62490288 63311808 64630804 66395931 67268796 71417472 72905336 73863776 75881064 76129536 76878624 78480262 80887632 83320384 84415744 86721216 88527908 89691728 91243488 92141292 92443008 96946206 101174752 102504832 104278272 107498174 107850176 109358004 110795664 115628288 117720393 121657984 122855056 124980576 126623616 129261608 130533497 132791862 134537592 142834944 145810672 147727552 151762128 153757248 154923839 156960524 161247261 161775264 166640768 173442432 177055816 179383456 182486976 184282584 184886016 193892412 202349504 205009664 214996348 215700352 218716008 221591328 235440786 243315968 245710112 249961152 253247232 258523216 261066994 265583724 269075184 274680917 291621344 295455104 303524256 307514496 309847678 313921048 322494522 323550528 333281536 346884864 354111632 358766912 364973952 368565168 376243609 387784824 391600491 404699008 429992696 431400704 437432016 443182656 464771517 470881572 491420224 499922304 517046432 522133988 531167448 538150368 549361834 583242688 590910208 607048512 615028992 619695356 627842096 644989044 647101056 708223264 717533824 729947904 737130336 752487218 775569648 783200982 809398016 824042751 859985392 874864032 886365312 913734479 929543034 941763144 982840448 999844608 1034092864 1044267976 1062334896 1076300736 1098723668 1128730827 1166485376 1214097024 1239390712 1255684192 1289978088 1294202112 1416446528 1435067648 1474260672 1504974436 1551139296 1566401964 1648085502 1719970784 1749728064 1772730624 1827468958 1859086068 1883526288 1965680896 2068185728 2088535952 2124669792 2152601472 2197447336 2257461654 2332970752 2428194048 2478781424 2511368384 2579956176 2633705263 2741203437 2832893056 2948521344 3009948872 3102278592 3132803928 3296171004 3439941568 3499456128 3654937916 3718172136 3767052576 4136371456 4177071904 4249339584 4305202944 4394894672 4514923308 4957562848 5022736768 5159912352 5267410526 5482406874 5665786112 5897042688 6019897744 6204557184 6265607856 6396141353 6592342008 6879883136 6998912256 7309875832 7436344272 7534105152 7901115789 8354143808 8498679168 8789789344 9029846616 9915125696 10045473536 10319824704 10534821052 10964813748 12039795488 12409114368 12531215712 12792282706 13184684016 13759766272 14619751664 14872688544 15068210304 15802231578 16708287616 16997358336 17579578688 18059693232 19188424059 19830251392 20639649408 21069642104 21929627496 24079590976 25062431424 25584565412 26369368032 29239503328 29745377088 30136420608 31604463156 33416575232 35159157376 36119386464 38376848118 39660502784 41279298816 42139284208 43859254992 44772989471 48159181952 50124862848 51169130824 52738736064 58479006656 59490754176 63208926312 70318314752 72238772928 76753696236 84278568416 87718509984 89545978942 96318363904 100249725696 102338261648 105477472128 116958013312 118981508352 126417852624 134318968413 144477545856 153507392472 168557136832 175437019968 179091957884 204676523296 210954944256 233916026624 252835705248 268637936826 288955091712 307014784944 337114273664 350874039936 358183915768 409353046592 505671410496 537275873652 614029569888 674228547328 701748079872 716367831536 818706093184 1011342820992 1074551747304 1228059139776 1432735663072 1637412186368 2022685641984 2149103494608 2456118279552 2865471326144 4298206989216 4912236559104 5730942652288 8596413978432 11461885304576 17192827956864 34385655913728
• Sum of all divisors σ(n): 114093022176000
• Sum of proper divisors (its aliquot sum) s(n): 79707366262272
• 34385655913728 is an abundant number, because the sum of its proper divisors (79707366262272) is greater than itself. Its abundance is 45321710348544

Bases of 34385655913728

• Binary: 111110100011000001000110011100101110100000000₂
• Hexadecimal: 0x1F4608CE5D00
• Base-36: C6SJVPWQO

Squares and roots of 34385655913728

• 34385655913728 squared (34385655913728²) is 1182373332617297378578857984
• 34385655913728 cubed (34385655913728³) is 40656682576946255157954900065922268004352
• The square root of 34385655913728 is 5863928.3687412145
• The cube root of 34385655913728 is 32518.1455793935

Scales and comparisons

• 34,385,655,913,728 seconds is equal to 1,093,357 years, 25 weeks, 5 days, 15 hours, 8 minutes, 48 seconds.
• To count from 1 to 34,385,655,913,728 would take you about two million, seven hundred thirty-three thousand, three hundred ninety-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 34385655913728 cubic inches would be around 2709.8 feet tall.

Recreational maths with 34385655913728

• 34385655913728 backwards is 82731955658343
• The number of decimal digits it has is: 14
• The sum of 34385655913728's digits is 69
• More coming soon!