985435979612800

Names of 985435979612800

• Cardinal: 985435979612800 can be written as Nine hundred eighty-five trillion, four hundred thirty-five billion, nine hundred seventy-nine million, six hundred twelve thousand, eight hundred.

Scientific notation

• Scientific notation: 9.854359796128 × 10¹⁴

Factors of 985435979612800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 53267

Divisors of 985435979612800

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 37 40 50 59 64 74 80 100 118 128 148 160 185 200 236 295 296 320 370 400 472 590 592 640 740 800 925 944 1180 1184 1475 1480 1600 1850 1888 2183 2360 2368 2801 2950 2960 3200 3700 3776 4366 4720 4736 5602 5900 5920 7400 7552 8732 9440 10915 11204 11800 11840 14005 14800 17464 18880 21830 22408 23600 23680 28010 29600 34928 37760 43660 44816 47200 50363 54575 56020 59200 69856 70025 87320 89632 94400 100726 103637 109150 112040 118400 139712 140050 165259 174640 179264 188800 201452 207274 218300 224080 251815 279424 280100 330518 349280 358528 402904 414548 436600 448160 503630 518185 560200 661036 698560 805808 826295 829096 873200 896320 1007260 1036370 1120400 1259075 1322072 1397120 1611616 1652590 1658192 1746400 1792640 1863431 2014520 2072740 2240800 2518150 2590925 2644144 2971417 3223232 3305180 3316384 3492800 3726862 4029040 4131475 4145480 4481600 5036300 5181850 5288288 5942834 6114583 6446464 6610360 6632768 6985600 7453724 8058080 8262950 8290960 8963200 9317155 10072600 10363700 10576576 11885668 12229166 13220720 13265536 14857085 14907448 16116160 16525900 16581920 18634310 20145200 20727400 21153152 23771336 24458332 26441440 29714170 29814896 30572915 32232320 33051800 33163840 37268620 40290400 41454800 46585775 47542672 48916664 52882880 59428340 59629792 61145830 66103600 66327680 74285425 74537240 80580800 82909600 93171550 95085344 97833328 105765760 109942429 118856680 119259584 122291660 132207200 141066763 148570850 149074480 152864575 161161600 165819200 186343100 190170688 195666656 219884858 237713360 238519168 244583320 264414400 282133526 297141700 298148960 305729150 331638400 372686200 380341376 391333312 439769716 475426720 489166640 528828800 549712145 564267052 594283400 596297920 611458300 705333815 745372400 782666624 879539432 950853440 978333280 1099424290 1128534104 1188566800 1192595840 1222916600 1410667630 1490744800 1759078864 1901706880 1956666560 2198848580 2257068208 2377133600 2445833200 2748560725 2821335260 2981489600 3518157728 3526669075 3913333120 4397697160 4514136416 4754267200 4891666400 5219470231 5497121450 5642670520 5962979200 7036315456 7053338150 8322939017 8795394320 9028272832 9508534400 9783332800 10438940462 10994242900 11285341040 14072630912 14106676300 16645878034 17590788640 18056545664 19566665600 20877880924 21988485800 22570682080 26097351155 28213352600 33291756068 35181577280 41614695085 41755761848 43976971600 45141364160 52194702310 56426705200 66583512136 70363154560 83229390170 83511523696 87953943200 90282728320 104389404620 112853410400 130486755775 133167024272 166458780340 167023047392 175907886400 208073475425 208778809240 225706820800 260973511550 266334048544 307948743629 332917560680 334046094784 351815772800 416146950850 417557618480 451413641600 521947023100 532668097088 615897487258 665835121360 668092189568 832293901700 835115236960 1043894046200 1065336194176 1231794974516 1331670242720 1539743718145 1664587803400 1670230473920 2087788092400 2463589949032 2663340485440 3079487436290 3329175606800 3340460947840 4175576184800 4927179898064 5326680970880 6158974872580 6658351213600 7698718590725 8351152369600 9854359796128 12317949745160 13316702427200 15397437181450 16702304739200 19708719592256 24635899490320 26633404854400 30794874362900 39417439184512 49271798980640 61589748725800 98543597961280 123179497451600 197087195922560 246358994903200 492717989806400 985435979612800
• Sum of all divisors σ(n): 2543460910315200
• Sum of proper divisors (its aliquot sum) s(n): 1558024930702400
• 985435979612800 is an abundant number, because the sum of its proper divisors (1558024930702400) is greater than itself. Its abundance is 572588951089600

Bases of 985435979612800

• Binary: 11100000000011111110110001100000111000001010000000₂
• Hexadecimal: 0x3803FB1838280
• Base-36: 9PB31F23R4

Squares and roots of 985435979612800

• 985435979612800 squared (985435979612800²) is 971084069915438777237923840000
• 985435979612800 cubed (985435979612800³) is 956941181723505176706197277889239089152000000
• The square root of 985435979612800 is 31391654.6173150931
• The cube root of 985435979612800 is 99512.1566121299

Scales and comparisons

• 985,435,979,612,800 seconds is equal to 31,333,815 years, 51 weeks, 6 days, 7 hours, 6 minutes, 40 seconds.
• To count from 1 to 985,435,979,612,800 would take you about seventy-eight million, three hundred thirty-four thousand, five hundred thirty-nine 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 985435979612800 cubic inches would be around 8292.7 feet tall.

Recreational maths with 985435979612800

• 985435979612800 backwards is 008216979534589
• The number of decimal digits it has is: 15
• The sum of 985435979612800's digits is 76
• More coming soon!