32974738728960

Names of 32974738728960

• Cardinal: 32974738728960 can be written as Thirty-two trillion, nine hundred seventy-four billion, seven hundred thirty-eight million, seven hundred twenty-eight thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 3.297473872896 × 10¹³

Factors of 32974738728960

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 2513887

Divisors of 32974738728960

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 61 64 70 80 84 96 105 112 120 122 128 140 160 168 183 192 210 224 240 244 256 280 305 320 336 366 384 420 427 448 480 488 512 560 610 640 672 732 768 840 854 896 915 960 976 1024 1120 1220 1280 1281 1344 1464 1536 1680 1708 1792 1830 1920 1952 2048 2135 2240 2440 2560 2562 2688 2928 3072 3360 3416 3584 3660 3840 3904 4270 4480 4880 5120 5124 5376 5856 6144 6405 6720 6832 7168 7320 7680 7808 8540 8960 9760 10240 10248 10752 11712 12810 13440 13664 14336 14640 15360 15616 17080 17920 19520 20496 21504 23424 25620 26880 27328 29280 30720 31232 34160 35840 39040 40992 43008 46848 51240 53760 54656 58560 62464 68320 71680 78080 81984 93696 102480 107520 109312 117120 124928 136640 156160 163968 187392 204960 215040 218624 234240 273280 312320 327936 374784 409920 437248 468480 546560 624640 655872 819840 874496 936960 1093120 1311744 1639680 1873920 2186240 2513809 2623488 3279360 4372480 5027618 6558720 7541427 10055236 12569045 13117440 15082854 17596663 20110472 25138090 30165708 35193326 37707135 40220944 50276180 52789989 60331416 70386652 75414270 80441888 87983315 100552360 105579978 120662832 140773304 150828540 153342349 160883776 175966630 201104720 211159956 241325664 263949945 281546608 301657080 306684698 321767552 351933260 402209440 422319912 460027047 482651328 527899890 563093216 603314160 613369396 643535104 703866520 766711745 804418880 844639824 920054094 965302656 1055799780 1073396443 1126186432 1206628320 1226738792 1287070208 1407733040 1533423490 1608837760 1689279648 1840108188 1930605312 2111599560 2146792886 2252372864 2300135235 2413256640 2453477584 2574140416 2815466080 3066846980 3217675520 3220189329 3378559296 3680216376 3861210624 4223199120 4293585772 4504745728 4600270470 4826513280 4906955168 5148280832 5366982215 5630932160 6133693960 6435351040 6440378658 6757118592 7360432752 7722421248 8446398240 8587171544 9009491456 9200540940 9653026560 9813910336 10733964430 11261864320 12267387920 12870702080 12880757316 13514237184 14720865504 15444842496 16100946645 16892796480 17174343088 18018982912 18401081880 19306053120 19627820672 21467928860 22523728640 24534775840 25741404160 25761514632 27028474368 29441731008 32201893290 33785592960 34348686176 36037965824 36802163760 38612106240 39255641344 42935857720 45047457280 49069551680 51523029264 54056948736 58883462016 64403786580 67571185920 68697372352 73604327520 77224212480 78511282688 85871715440 90094914560 98139103360 103046058528 108113897472 117766924032 128807573160 135142371840 137394744704 147208655040 157022565376 171743430880 180189829120 196278206720 206092117056 235533848064 257615146320 270284743680 274789489408 294417310080 314045130752 343486861760 392556413440 412184234112 471067696128 515230292640 540569487360 549578978816 588834620160 686973723520 785112826880 824368468224 942135392256 1030460585280 1099157957632 1177669240320 1373947447040 1570225653760 1648736936448 2060921170560 2198315915264 2355338480640 2747894894080 3297473872896 4121842341120 4710676961280 5495789788160 6594947745792 8243684682240 10991579576320 16487369364480 32974738728960
• Sum of all divisors σ(n): 122540394412800
• Sum of proper divisors (its aliquot sum) s(n): 89565655683840
• 32974738728960 is an abundant number, because the sum of its proper divisors (89565655683840) is greater than itself. Its abundance is 56590916954880

Bases of 32974738728960

• Binary: 111011111110110000111100101101010100000000000₂
• Hexadecimal: 0x1DFD8796A800
• Base-36: BOSDW21HC

Squares and roots of 32974738728960

• 32974738728960 squared (32974738728960²) is 1087333394243174556342681600
• 32974738728960 cubed (32974738728960³) is 35854534586441940351170688568981979136000
• The square root of 32974738728960 is 5742363.5141777639
• The cube root of 32974738728960 is 32067.1567264305

Scales and comparisons

• 32,974,738,728,960 seconds is equal to 1,048,494 years, 36 weeks, 14 hours, 56 minutes.
• To count from 1 to 32,974,738,728,960 would take you about two million, six hundred twenty-one thousand, two hundred thirty-six 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 32974738728960 cubic inches would be around 2672.3 feet tall.

Recreational maths with 32974738728960

• 32974738728960 backwards is 06982783747923
• The number of decimal digits it has is: 14
• The sum of 32974738728960's digits is 75
• More coming soon!