34020889848709120

Names of 34020889848709120

• Cardinal: 34020889848709120 can be written as Thirty-four quadrillion, twenty trillion, eight hundred eighty-nine billion, eight hundred forty-eight million, seven hundred nine thousand, one hundred twenty.

Scientific notation

• Scientific notation: 3.402088984870912 × 10¹⁶

Factors of 34020889848709120

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 25
• Sum of prime factors: 21543

Divisors of 34020889848709120

• Number of divisors d(n): 264
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2048 2240 2560 3584 4096 4480 5120 7168 8192 8960 10240 14336 16384 17920 20480 21529 28672 32768 35840 40960 43058 57344 65536 71680 81920 86116 107645 114688 131072 143360 150703 163840 172232 215290 229376 262144 286720 301406 327680 344464 430580 458752 524288 573440 602812 655360 688928 753515 861160 917504 1048576 1146880 1205624 1310720 1377856 1507030 1722320 1835008 2097152 2293760 2411248 2621440 2755712 3014060 3444640 3670016 4587520 4822496 5242880 5511424 6028120 6889280 7340032 9175040 9644992 10485760 11022848 12056240 13778560 14680064 18350080 19289984 22045696 24112480 27557120 36700160 38579968 44091392 48224960 55114240 73400320 77159936 88182784 96449920 110228480 154319872 176365568 192899840 220456960 308639744 352731136 385799680 440913920 463497841 617279488 705462272 771599360 881827840 926995682 1234558976 1410924544 1543198720 1763655680 1853991364 2317489205 2469117952 2821849088 3086397440 3244484887 3527311360 3707982728 4634978410 4938235904 5643698176 6172794880 6488969774 7054622720 7415965456 9269956820 9876471808 11287396352 12345589760 12977939548 14109245440 14831930912 16222424435 18539913640 19752943616 22574792704 24691179520 25955879096 28218490880 29663861824 32444848870 37079827280 39505887232 45149585408 49382359040 51911758192 56436981760 59327723648 64889697740 74159654560 79011774464 98764718080 103823516384 112873963520 118655447296 129779395480 148319309120 158023548928 197529436160 207647032768 225747927040 237310894592 259558790960 296638618240 316047097856 395058872320 415294065536 474621789184 519117581920 593277236480 790117744640 830588131072 949243578368 1038235163840 1186554472960 1580235489280 1661176262144 1898487156736 2076470327680 2373108945920 3322352524288 3796974313472 4152940655360 4746217891840 6644705048576 7593948626944 8305881310720 9492435783680 13289410097152 15187897253888 16611762621440 18984871567360 26578820194304 30375794507776 33223525242880 37969743134720 53157640388608 60751589015552 66447050485760 75939486269440 106315280777216 121503178031104 132894100971520 151878972538880 212630561554432 243006356062208 265788201943040 303757945077760 425261123108864 486012712124416 531576403886080 607515890155520 850522246217728 972025424248832 1063152807772160 1215031780311040 1701044492435456 2126305615544320 2430063560622080 3402088984870912 4252611231088640 4860127121244160 6804177969741824 8505222462177280 17010444924354560 34020889848709120
• Sum of all divisors σ(n): 93318753040483824
• Sum of proper divisors (its aliquot sum) s(n): 59297863191774704
• 34020889848709120 is an abundant number, because the sum of its proper divisors (59297863191774704) is greater than itself. Its abundance is 25276973343065584

Bases of 34020889848709120

• Binary: 1111000110111011101000110101110011000000000000000000000₂
• Hexadecimal: 0x78DDD1AE600000
• Base-36: 9AZED1AKQ9S

Squares and roots of 34020889848709120

• 34020889848709120 squared (34020889848709120²) is 1157420946097999249922530371174400
• 34020889848709120 cubed (34020889848709120³) is 39376490515788728236098041519263881534298390528000
• The square root of 34020889848709120 is 184447526.0032216317
• The cube root of 34020889848709120 is 324027.5145837571

Scales and comparisons

• 34,020,889,848,709,120 seconds is equal to 1,081,759,063 years, 34 weeks, 4 days, 20 hours, 58 minutes, 40 seconds.
• To count from 1 to 34,020,889,848,709,120 would take you about three billion, two hundred forty-five million, two hundred seventy-seven thousand, one hundred ninety-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 34020889848709120 cubic inches would be around 27002.3 feet tall.

Recreational maths with 34020889848709120

• 34020889848709120 backwards is 02190784898802043
• The number of decimal digits it has is: 17
• The sum of 34020889848709120's digits is 73
• More coming soon!