10398985834567680
10,398,985,834,567,680 is an even composite number composed of five prime numbers multiplied together.
10398985834567680 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 10398985834567680:
211 × 32 × 5 × 7 × 16119459689
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 16119459689)See below for interesting mathematical facts about the number 10398985834567680 from the Numbermatics database.
Names of 10398985834567680
- Cardinal: 10398985834567680 can be written as Ten quadrillion, three hundred ninety-eight trillion, nine hundred eighty-five billion, eight hundred thirty-four million, five hundred sixty-seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.039898583456768 × 1016
Factors of 10398985834567680
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 16119459706
Divisors of 10398985834567680
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 64 70 72 80 84 90 96 105 112 120 126 128 140 144 160 168 180 192 210 224 240 252 256 280 288 315 320 336 360 384 420 448 480 504 512 560 576 630 640 672 720 768 840 896 960 1008 1024 1120 1152 1260 1280 1344 1440 1536 1680 1792 1920 2016 2048 2240 2304 2520 2560 2688 2880 3072 3360 3584 3840 4032 4480 4608 5040 5120 5376 5760 6144 6720 7168 7680 8064 8960 9216 10080 10240 10752 11520 13440 14336 15360 16128 17920 18432 20160 21504 23040 26880 30720 32256 35840 40320 43008 46080 53760 64512 71680 80640 92160 107520 129024 161280 215040 322560 645120 16119459689 32238919378 48358379067 64477838756 80597298445 96716758134 112836217823 128955677512 145075137201 161194596890 193433516268 225672435646 241791895335 257911355024 290150274402 322389193780 338508653469 386867032536 451344871292 483583790670 515822710048 564181089115 580300548804 644778387560 677017306938 725375686005 773734065072 902689742584 967167581340 1015525960407 1031645420096 1128362178230 1160601097608 1289556775120 1354034613876 1450751372010 1547468130144 1692543267345 1805379485168 1934335162680 2031051920814 2063290840192 2256724356460 2321202195216 2579113550240 2708069227752 2901502744020 3094936260288 3385086534690 3610758970336 3868670325360 4062103841628 4126581680384 4513448712920 4642404390432 5077629802035 5158227100480 5416138455504 5803005488040 6189872520576 6770173069380 7221517940672 7737340650720 8124207683256 8253163360768 9026897425840 9284808780864 10155259604070 10316454200960 10832276911008 11606010976080 12379745041152 13540346138760 14443035881344 15474681301440 16248415366512 16506326721536 18053794851680 18569617561728 20310519208140 20632908401920 21664553822016 23212021952160 24759490082304 27080692277520 28886071762688 30949362602880 32496830733024 33012653443072 36107589703360 37139235123456 40621038416280 41265816803840 43329107644032 46424043904320 49518980164608 54161384555040 57772143525376 61898725205760 64993661466048 72215179406720 74278470246912 81242076832560 82531633607680 86658215288064 92848087808640 99037960329216 108322769110080 115544287050752 123797450411520 129987322932096 144430358813440 148556940493824 162484153665120 165063267215360 173316430576128 185696175617280 216645538220160 231088574101504 247594900823040 259974645864192 288860717626880 297113880987648 324968307330240 346632861152256 371392351234560 433291076440320 495189801646080 519949291728384 577721435253760 649936614660480 693265722304512 742784702469120 866582152880640 1039898583456768 1155442870507520 1299873229320960 1485569404938240 1733164305761280 2079797166913536 2599746458641920 3466328611522560 5199492917283840 10398985834567680
- Sum of all divisors σ(n): 41189732956663200
- Sum of proper divisors (its aliquot sum) s(n): 30790747122095520
- 10398985834567680 is an abundant number, because the sum of its proper divisors (30790747122095520) is greater than itself. Its abundance is 20391761287527840
Bases of 10398985834567680
- Binary: 1001001111000111010010100100001011000110011000000000002
- Hexadecimal: 0x24F1D290B19800
- Base-36: 2UE4S541KW0
Squares and roots of 10398985834567680
- 10398985834567680 squared (103989858345676802) is 108138906387539268112812500582400
- 10398985834567680 cubed (103989858345676803) is 1124534955689661257601943399176775750052216832000
-
The
square root of 10398985834567680 is 101975417.7955044223 -
The
cube root of 10398985834567680 is 218271.4811704543
Scales and comparisons
How big is 10398985834567680?- 10,398,985,834,567,680 seconds is equal to 330,655,583 years, 18 weeks, 6 days, 12 hours, 48 minutes.
-
To count from 1 to 10,398,985,834,567,680 would take you about nine hundred ninety-one million, nine hundred sixty-six thousand, seven hundred fifty 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 10398985834567680 cubic inches would be around 18189.3 feet tall.
Recreational maths with 10398985834567680
- 10398985834567680 backwards is 08676543858989301
- 10398985834567680 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 10398985834567680's digits is 90
- More coming soon!
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