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104411263353144 = 233116431031596587
BaseRepresentation
bin10111101111011000100100…
…010000110100000100111000
3111200200121201110120020001020
4113233120210100310010320
5102141133231404300034
61010021512221422440
730664315304030556
oct2757304420640470
9450617643506036
10104411263353144
11302a5628192060
12b863728a0aa20
134634c2ac138c7
141bad764178bd6
15c10e9add3249
hex5ef624434138

104411263353144 has 128 divisors (see below), whose sum is σ = 285477953402880. Its totient is φ = 31559876668800.

The previous prime is 104411263353143. The next prime is 104411263353151. The reversal of 104411263353144 is 441353362114401.

It is a junction number, because it is equal to n+sod(n) for n = 104411263353096 and 104411263353105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104411263353143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174716019 + ... + 175312605.

It is an arithmetic number, because the mean of its divisors is an integer number (2230296510960).

Almost surely, 2104411263353144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104411263353144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142738976701440).

104411263353144 is an abundant number, since it is smaller than the sum of its proper divisors (181066690049736).

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

104411263353144 is a wasteful number, since it uses less digits than its factorization.

104411263353144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598281 (or 598277 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 104411263353144 in words is "one hundred four trillion, four hundred eleven billion, two hundred sixty-three million, three hundred fifty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 643 1031 1286 1929 2062 2572 3093 3858 4124 5144 6186 7073 7716 8248 11341 12372 14146 15432 21219 22682 24744 28292 34023 42438 45364 56584 68046 84876 90728 136092 169752 272184 596587 662933 1193174 1325866 1789761 1988799 2386348 2651732 3579522 3977598 4772696 5303464 6562457 7159044 7292263 7955196 13124914 14318088 14584526 15910392 19687371 21876789 26249828 29169052 39374742 43753578 52499656 58338104 78749484 87507156 157498968 175014312 383605441 615081197 767210882 1150816323 1230162394 1534421764 1845243591 2301632646 2460324788 3068843528 3690487182 4219659851 4603265292 4920649576 6765893167 7380974364 8439319702 9206530584 12658979553 13531786334 14761948728 16878639404 20297679501 25317959106 27063572668 33757278808 40595359002 50635918212 54127145336 81190718004 101271836424 162381436008 395497209671 790994419342 1186491629013 1581988838684 2372983258026 3163977677368 4350469306381 4745966516052 8700938612762 9491933032104 13051407919143 17401877225524 26102815838286 34803754451048 52205631676572 104411263353144