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104414024140 = 225172316218237
BaseRepresentation
bin110000100111110001…
…1111001000111001100
3100222111210102000001021
41201033203321013030
53202314442233030
6115544522523524
710354322363356
oct1411743710714
9328453360037
10104414024140
1140310aa3838
12182a00665a4
139b00142b4a
1450a738a0d6
152ab19e397a
hex184f8f91cc

104414024140 has 96 divisors (see below), whose sum is σ = 242440781184. Its totient is φ = 37571973120.

The previous prime is 104414024051. The next prime is 104414024149. The reversal of 104414024140 is 41420414401.

It is not an unprimeable number, because it can be changed into a prime (104414024149) 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, 12672102 + ... + 12680338.

It is an arithmetic number, because the mean of its divisors is an integer number (2525424804).

Almost surely, 2104414024140 is an apocalyptic number.

104414024140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104414024140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121220390592).

104414024140 is an abundant number, since it is smaller than the sum of its proper divisors (138026757044).

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

104414024140 is a wasteful number, since it uses less digits than its factorization.

104414024140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9907 (or 9905 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 104414024140 its reverse (41420414401), we get a palindrome (145834438541).

The spelling of 104414024140 in words is "one hundred four billion, four hundred fourteen million, twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 782 1564 1621 1955 3242 3910 6484 7820 8105 8237 16210 16474 27557 32420 32948 37283 41185 55114 74566 82370 110228 137785 140029 149132 164740 186415 189451 275570 280058 372830 378902 551140 560116 633811 700145 745660 757804 947255 1267622 1400290 1894510 2535244 2800580 3169055 3220667 3789020 6338110 6441334 12676220 12882668 13352177 16103335 26704354 32206670 53408708 64413340 66760885 133521770 226987009 267043540 307100071 453974018 614200142 907948036 1134935045 1228400284 1535500355 2269870090 3071000710 4539740180 5220701207 6142001420 10441402414 20882804828 26103506035 52207012070 104414024140