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40098978125880 = 23352334687418849
BaseRepresentation
bin10010001111000010001010…
…10110001101100000111000
312020222102110201201202210120
421013201011112031200320
520223440201400012010
6221141114413013240
711306025026165262
oct1107410526154070
9166872421652716
1040098978125880
111185a976857003
1245b754a784220
13194b41847b85b
149c8b2d936b32
154980ee3a3e70
hex24784558d838

40098978125880 has 128 divisors (see below), whose sum is σ = 125531154432000. Its totient is φ = 10227825856512.

The previous prime is 40098978125867. The next prime is 40098978125881. The reversal of 40098978125880 is 8852187989004.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40098978125881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95526696 + ... + 95945544.

It is an arithmetic number, because the mean of its divisors is an integer number (980712144000).

Almost surely, 240098978125880 is an apocalyptic number.

40098978125880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40098978125880 is an abundant number, since it is smaller than the sum of its proper divisors (85432176306120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40098978125880 is a wasteful number, since it uses less digits than its factorization.

40098978125880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453573 (or 453569 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 69.

The spelling of 40098978125880 in words is "forty trillion, ninety-eight billion, nine hundred seventy-eight million, one hundred twenty-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 34687 69374 104061 138748 173435 208122 277496 346870 416244 418849 520305 693740 797801 832488 837698 1040610 1256547 1387480 1595602 1675396 2081220 2094245 2393403 2513094 3191204 3350792 3989005 4162440 4188490 4786806 5026188 6282735 6382408 7978010 8376980 9573612 9633527 10052376 11967015 12565470 15956020 16753960 19147224 19267054 23934030 25130940 28900581 31912040 38534108 47868060 48167635 50261880 57801162 77068216 95736120 96335270 115602324 144502905 192670540 231204648 289005810 385341080 578011620 1156023240 14528615263 29057230526 43585845789 58114461052 72643076315 87171691578 116228922104 145286152630 174343383156 217929228945 290572305260 334158151049 348686766312 435858457890 581144610520 668316302098 871716915780 1002474453147 1336632604196 1670790755245 1743433831560 2004948906294 2673265208392 3341581510490 4009897812588 5012372265735 6683163020980 8019795625176 10024744531470 13366326041960 20049489062940 40098978125880