34985168989061120

Names of 34985168989061120

• Cardinal: 34985168989061120 can be written as Thirty-four quadrillion, nine hundred eighty-five trillion, one hundred sixty-eight billion, nine hundred eighty-nine million, sixty-one thousand, one hundred twenty.

Scientific notation

• Scientific notation: 3.498516898906112 × 10¹⁶

Factors of 34985168989061120

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 29
• Sum of prime factors: 600

Divisors of 34985168989061120

• Number of divisors d(n): 208
• Complete list of divisors:
  1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 593 640 1024 1186 1280 2048 2372 2560 2965 4096 4744 5120 5930 8192 9488 10240 11860 16384 18976 20480 23720 32768 37952 40960 47440 65536 75904 81920 94880 131072 151808 163840 189760 262144 303616 327680 351649 379520 524288 607232 655360 703298 759040 1048576 1214464 1310720 1406596 1518080 1758245 2097152 2428928 2621440 2813192 3036160 3516490 4194304 4857856 5242880 5626384 6072320 7032980 8388608 9715712 10485760 11252768 12144640 14065960 16777216 19431424 20971520 22505536 24289280 28131920 33554432 38862848 41943040 45011072 48578560 56263840 77725696 83886080 90022144 97157120 112527680 155451392 167772160 180044288 194314240 208527857 225055360 310902784 360088576 388628480 417055714 450110720 621805568 720177152 777256960 834111428 900221440 1042639285 1243611136 1440354304 1554513920 1668222856 1800442880 2085278570 2487222272 2880708608 3109027840 3336445712 3600885760 4170557140 4974444544 5761417216 6218055680 6672891424 7201771520 8341114280 9948889088 11522834432 12436111360 13345782848 14403543040 16682228560 19897778176 23045668864 24872222720 26691565696 28807086080 33364457120 46091337728 49744445440 53383131392 57614172160 66728914240 92182675456 99488890880 106766262784 115228344320 133457828480 184365350912 213532525568 230456688640 266915656960 368730701824 427065051136 460913377280 533831313920 737461403648 854130102272 921826754560 1067662627840 1474922807296 1708260204544 1843653509120 2135325255680 2949845614592 3416520409088 3687307018240 4270650511360 5899691229184 6833040818176 7374614036480 8541301022720 11799382458368 13666081636352 14749228072960 17082602045440 27332163272704 29498456145920 34165204090880 54664326545408 58996912291840 68330408181760 109328653090816 136660816363520 218657306181632 273321632727040 437314612363264 546643265454080 874629224726528 1093286530908160 1749258449453056 2186573061816320 3498516898906112 4373146123632640 6997033797812224 8746292247265280 17492584494530560 34985168989061120
• Sum of all divisors σ(n): 84106236085957800
• Sum of proper divisors (its aliquot sum) s(n): 49121067096896680
• 34985168989061120 is an abundant number, because the sum of its proper divisors (49121067096896680) is greater than itself. Its abundance is 14135898107835560

Bases of 34985168989061120

• Binary: 1111100010010101101001101101010000000000000000000000000₂
• Hexadecimal: 0x7C4AD36A000000
• Base-36: 9KH7GR9SI68

Squares and roots of 34985168989061120

• 34985168989061120 squared (34985168989061120²) is 1223962049193163869178219095654400
• 34985168989061120 cubed (34985168989061120³) is 42820519127220377627215769795220112292527996928000
• The square root of 34985168989061120 is 187043227.5947491235
• The cube root of 34985168989061120 is 327060.4214243603

Scales and comparisons

• 34,985,168,989,061,120 seconds is equal to 1,112,420,157 years, 32 weeks, 1 day, 9 hours, 25 minutes, 20 seconds.
• To count from 1 to 34,985,168,989,061,120 would take you about three billion, three hundred thirty-seven million, two hundred sixty thousand, four hundred seventy-two 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 34985168989061120 cubic inches would be around 27255 feet tall.

Recreational maths with 34985168989061120

• 34985168989061120 backwards is 02116098986158943
• 34985168989061120 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 34985168989061120's digits is 80
• More coming soon!