40198048978080
40,198,048,978,080 is an even composite number composed of seven prime numbers multiplied together.
40198048978080 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 40198048978080:
25 × 3 × 5 × 7 × 19 × 1201 × 524287
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 19 × 1201 × 524287)See below for interesting mathematical facts about the number 40198048978080 from the Numbermatics database.
Names of 40198048978080
- Cardinal: 40198048978080 can be written as Forty trillion, one hundred ninety-eight billion, forty-eight million, nine hundred seventy-eight thousand and eighty.
Scientific notation
- Scientific notation: 4.019804897808 × 1013
Factors of 40198048978080
Divisors of 40198048978080
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 32 35 38 40 42 48 56 57 60 70 76 80 84 95 96 105 112 114 120 133 140 152 160 168 190 210 224 228 240 266 280 285 304 336 380 399 420 456 480 532 560 570 608 665 672 760 798 840 912 1064 1120 1140 1201 1330 1520 1596 1680 1824 1995 2128 2280 2402 2660 3040 3192 3360 3603 3990 4256 4560 4804 5320 6005 6384 7206 7980 8407 9120 9608 10640 12010 12768 14412 15960 16814 18015 19216 21280 22819 24020 25221 28824 31920 33628 36030 38432 42035 45638 48040 50442 57648 63840 67256 68457 72060 84070 91276 96080 100884 114095 115296 126105 134512 136914 144120 159733 168140 182552 192160 201768 228190 252210 269024 273828 288240 319466 336280 342285 365104 403536 456380 479199 504420 524287 547656 576480 638932 672560 684570 730208 798665 807072 912760 958398 1008840 1048574 1095312 1277864 1345120 1369140 1572861 1597330 1825520 1916796 2017680 2097148 2190624 2395995 2555728 2621435 2738280 3145722 3194660 3651040 3670009 3833592 4035360 4194296 4791990 5111456 5242870 5476560 6291444 6389320 7340018 7667184 7864305 8388592 9583980 9961453 10485740 10953120 11010027 12582888 12778640 14680036 15334368 15728610 16777184 18350045 19167960 19922906 20971480 22020054 25165776 25557280 29360072 29884359 31457220 36700090 38335920 39845812 41942960 44040108 49807265 50331552 55050135 58720144 59768718 62914440 69730171 73400180 76671840 79691624 83885920 88080216 99614530 110100270 117440288 119537436 125828880 139460342 146800360 149421795 159383248 176160432 199229060 209190513 220200540 239074872 251657760 278920684 293600720 298843590 318766496 348650855 352320864 398458120 418381026 440401080 478149744 557841368 587201440 597687180 629668687 697301710 796916240 836762052 880802160 956299488 1045952565 1115682736 1195374360 1259337374 1394603420 1593832480 1673524104 1761604320 1889006061 2091905130 2231365472 2390748720 2518674748 2789206840 3148343435 3347048208 3778012122 4183810260 4407680809 4781497440 5037349496 5578413680 6296686870 6694096416 7556024244 8367620520 8815361618 9445030305 10074698992 11156827360 11963705053 12593373740 13223042427 15112048488 16735241040 17630723236 18890060610 20149397984 22038404045 23927410106 25186747480 26446084854 30224096976 33470482080 35261446472 35891115159 37780121220 44076808090 47854820212 50373494960 52892169708 59818525265 60448193952 66115212135 70522892944 71782230318 75560242440 83745935371 88153616180 95709640424 100746989920 105784339416 119637050530 132230424270 141045785888 143564460636 151120484880 167491870742 176307232360 179455575795 191419280848 211568678832 239274101060 251237806113 264460848540 287128921272 302240969760 334983741484 352614464720 358911151590 382838561696 418729676855 423137357664 478548202120 502475612226 528921697080 574257842544 669967482968 705228929440 717822303180 837459353710 957096404240 1004951224452 1057843394160 1148515685088 1256189030565 1339934965936 1435644606360 1674918707420 1914192808480 2009902448904 2115686788320 2512378061130 2679869931872 2871289212720 3349837414840 4019804897808 5024756122260 5742578425440 6699674829680 8039609795616 10049512244520 13399349659360 20099024489040 40198048978080
- Sum of all divisors σ(n): 152456575057920
- Sum of proper divisors (its aliquot sum) s(n): 112258526079840
- 40198048978080 is an abundant number, because the sum of its proper divisors (112258526079840) is greater than itself. Its abundance is 72060477101760
Bases of 40198048978080
- Binary: 10010010001111010101100110111000010100101000002
- Hexadecimal: 0x248F566E14A0
- Base-36: E8YQ8H8DC
Squares and roots of 40198048978080
- 40198048978080 squared (401980489780802) is 1615883141644118532320486400
- 40198048978080 cubed (401980489780803) is 64955349670664058859187917782568538112000
-
The
square root of 40198048978080 is 6340193.1341308525 -
The
cube root of 40198048978080 is 34255.8691994663
Scales and comparisons
How big is 40198048978080?- 40,198,048,978,080 seconds is equal to 1,278,173 years, 32 weeks, 12 hours, 8 minutes.
-
To count from 1 to 40,198,048,978,080 would take you about three million, one hundred ninety-five thousand, four hundred thirty-four 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 40198048978080 cubic inches would be around 2854.7 feet tall.
Recreational maths with 40198048978080
- 40198048978080 backwards is 08087984089104
- The number of decimal digits it has is: 14
- The sum of 40198048978080's digits is 66
- More coming soon!
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