34006313146368

Names of 34006313146368

• Cardinal: 34006313146368 can be written as Thirty-four trillion, six billion, three hundred thirteen million, one hundred forty-six thousand, three hundred sixty-eight.

Scientific notation

• Scientific notation: 3.4006313146368 × 10¹³

Factors of 34006313146368

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 5557

Divisors of 34006313146368

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 12 16 19 24 32 38 43 48 57 64 76 86 96 114 128 129 152 172 192 228 256 258 304 344 384 456 512 516 608 688 768 817 912 1024 1032 1216 1376 1536 1634 1824 1873 2048 2064 2432 2451 2752 3072 3268 3617 3648 3746 4128 4864 4902 5504 5619 6144 6536 7234 7296 7492 8256 9728 9804 10851 11008 11238 13072 14468 14592 14984 16512 19456 19608 21702 22016 22476 26144 28936 29184 29968 33024 35587 38912 39216 43404 44032 44952 52288 57872 58368 59936 66048 68723 71174 78432 80539 86808 88064 89904 104576 106761 115744 116736 119872 132096 137446 142348 155531 156864 161078 173616 179808 206169 209152 213522 231488 239744 241617 264192 274892 284696 311062 313728 322156 347232 359616 412338 418304 427044 462976 466593 479488 483234 549784 569392 622124 627456 644312 694464 719232 824676 836608 854088 925952 933186 958976 966468 1099568 1138784 1244248 1254912 1288624 1388928 1438464 1530241 1649352 1673216 1708176 1851904 1866372 1917952 1932936 2199136 2277568 2488496 2509824 2577248 2777856 2876928 2955089 3060482 3298704 3416352 3703808 3732744 3835904 3865872 4398272 4555136 4590723 4976992 5019648 5154496 5555712 5753856 5910178 6120964 6597408 6774641 6832704 7407616 7465488 7731744 8796544 8865267 9110272 9181446 9953984 10308992 11111424 11507712 11820356 12241928 13194816 13549282 13665408 14930976 15463488 17593088 17730534 18220544 18362892 19907968 20323923 20617984 22222848 23640712 24483856 26389632 27098564 27330816 29861952 30926976 35186176 35461068 36441088 36725784 39815936 40647846 41235968 47281424 48967712 52779264 54197128 54661632 59723904 61853952 70372352 70922136 72882176 73451568 79631872 81295692 82471936 94562848 97935424 105558528 108394256 109323264 119447808 123707904 128718179 140744704 141844272 146903136 159263744 162591384 164943872 189125696 195870848 211117056 216788512 218646528 238895616 247415808 257436358 283688544 291309563 293806272 318527488 325182768 378251392 386154537 391741696 422234112 433577024 477791232 494831616 514872716 567377088 582619126 587612544 650365536 756502784 772309074 783483392 867154048 873928689 955582464 1029745432 1134754176 1165238252 1175225088 1300731072 1513005568 1544618148 1566966784 1734308096 1747857378 2059490864 2269508352 2330476504 2350450176 2601462144 3026011136 3089236296 3133933568 3468616192 3495714756 4118981728 4539016704 4660953008 4700900352 5202924288 5534881697 6052022272 6178472592 6937232384 6991429512 8237963456 9078033408 9321906016 9401800704 10405848576 11069763394 12356945184 13874464768 13982859024 16475926912 16604645091 18156066816 18643812032 20811697152 22139526788 24713890368 27965718048 32951853824 33209290182 37287624064 41623394304 44279053576 49427780736 55931436096 65903707648 66418580364 74575248128 88558107152 98855561472 111862872192 131807415296 132837160728 149150496256 177116214304 197711122944 223725744384 263614830592 265674321456 298300992512 354232428608 395422245888 447451488768 531348642912 596601985024 708464857216 790844491776 894902977536 1062697285824 1416929714432 1789805955072 2125394571648 2833859428864 4250789143296 5667718857728 8501578286592 11335437715456 17003156573184 34006313146368
• Sum of all divisors σ(n): 97731534700800
• Sum of proper divisors (its aliquot sum) s(n): 63725221554432
• 34006313146368 is an abundant number, because the sum of its proper divisors (63725221554432) is greater than itself. Its abundance is 29718908408064

Bases of 34006313146368

• Binary: 111101110110110110110001101110001100000000000₂
• Hexadecimal: 0x1EEDB6371800
• Base-36: C1YA8TW5C

Squares and roots of 34006313146368

• 34006313146368 squared (34006313146368²) is 1156429333808841063791591424
• 34006313146368 cubed (34006313146368³) is 39325898057149180113482273557707365548032
• The square root of 34006313146368 is 5831493.2175531163
• The cube root of 34006313146368 is 32398.1230007897

Scales and comparisons

• 34,006,313,146,368 seconds is equal to 1,081,295 years, 29 weeks, 4 days, 8 hours, 12 minutes, 48 seconds.
• To count from 1 to 34,006,313,146,368 would take you about two million, seven hundred three thousand, two hundred thirty-eight 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 34006313146368 cubic inches would be around 2699.8 feet tall.

Recreational maths with 34006313146368

• 34006313146368 backwards is 86364131360043
• 34006313146368 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34006313146368's digits is 48
• More coming soon!