34829945585311968

Names of 34829945585311968

• Cardinal: 34829945585311968 can be written as Thirty-four quadrillion, eight hundred twenty-nine trillion, nine hundred forty-five billion, five hundred eighty-five million, three hundred eleven thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 3.4829945585311968 × 10¹⁶

Factors of 34829945585311968

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 49221534848

Divisors of 34829945585311968

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 72 78 81 84 91 96 104 108 112 117 126 144 156 162 168 182 189 208 216 224 234 243 252 273 288 312 324 336 351 364 378 416 432 468 486 504 546 567 624 648 672 702 728 756 819 864 936 972 1008 1053 1092 1134 1248 1296 1404 1456 1512 1638 1701 1872 1944 2016 2106 2184 2268 2457 2592 2808 2912 3024 3159 3276 3402 3744 3888 4212 4368 4536 4914 5616 6048 6318 6552 6804 7371 7776 8424 8736 9072 9828 11232 12636 13104 13608 14742 16848 18144 19656 22113 25272 26208 27216 29484 33696 39312 44226 50544 54432 58968 78624 88452 101088 117936 176904 235872 353808 707616 49221534823 98443069646 147664604469 196886139292 295329208938 344550743761 393772278584 442993813407 590658417876 639879952699 689101487522 787544557168 885987626814 1033652231283 1181316835752 1279759905398 1328981440221 1378202975044 1575089114336 1771975253628 1919639858097 2067304462566 2362633671504 2559519810796 2657962880442 2756405950088 3100956693849 3543950507256 3839279716194 3986944320663 4134608925132 4479159668893 4725267343008 5119039621592 5315925760884 5512811900176 5758919574291 6201913387698 7087901014512 7678559432388 7973888641326 8269217850264 8958319337786 9302870081547 10238079243184 10631851521768 11025623800352 11517839148582 11960832961989 12403826775396 13437479006679 14175802029024 15357118864776 15947777282652 16538435700528 17276758722873 17916638675572 18605740163094 20476158486368 21263703043536 23035678297164 23921665923978 24807653550792 26874958013358 27908610244641 30714237729552 31895554565304 33076871401056 34553517445746 35833277351144 37211480326188 40312437020037 42527406087072 46071356594328 47843331847956 49615307101584 51830276168619 53749916026716 55817220489282 61428475459104 63791109130608 69107034891492 71666554702288 74422960652376 80624874040074 83725830733923 92142713188656 95686663695912 99230614203168 103660552337238 107499832053432 111634440978564 120937311060111 127582218261216 138214069782984 143333109404576 148845921304752 155490828505857 161249748080148 167451661467846 184285426377312 191373327391824 207321104674476 214999664106864 223268881957128 241874622120222 276428139565968 297691842609504 310981657011714 322499496160296 334903322935692 362811933180333 382746654783648 414642209348952 429999328213728 446537763914256 483749244240444 552856279131936 621963314023428 644998992320592 669806645871384 725623866360666 829284418697904 893075527828512 967498488480888 1088435799540999 1243926628046856 1289997984641184 1339613291742768 1451247732721332 1658568837395808 1934996976961776 2176871599081998 2487853256093712 2679226583485536 2902495465442664 3869993953923552 4353743198163996 4975706512187424 5804990930885328 8707486396327992 11609981861770656 17414972792655984 34829945585311968
• Sum of all divisors σ(n): 126419802497404416
• Sum of proper divisors (its aliquot sum) s(n): 91589856912092448
• 34829945585311968 is an abundant number, because the sum of its proper divisors (91589856912092448) is greater than itself. Its abundance is 56759911326780480

Bases of 34829945585311968

• Binary: 1111011101111011010011010100110001010001010000011100000₂
• Hexadecimal: 0x7BBDA6A628A0E0
• Base-36: 9IY6O3YY600

Squares and roots of 34829945585311968

• 34829945585311968 squared (34829945585311968²) is 1213125109475792649153619884033024
• 34829945585311968 cubed (34829945585311968³) is 42253081551217482058916520947815392750981054431232
• The square root of 34829945585311968 is 186627826.3960440815
• The cube root of 34829945585311968 is 326575.9999664985

Scales and comparisons

• 34,829,945,585,311,968 seconds is equal to 1,107,484,533 years, 26 weeks, 6 days, 8 hours, 52 minutes, 48 seconds.
• To count from 1 to 34,829,945,585,311,968 would take you about three billion, three hundred twenty-two million, four hundred fifty-three thousand, six hundred 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 34829945585311968 cubic inches would be around 27214.7 feet tall.

Recreational maths with 34829945585311968

• 34829945585311968 backwards is 86911358554992843
• The number of decimal digits it has is: 17
• The sum of 34829945585311968's digits is 90
• More coming soon!