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104144412024 = 23321446450167
BaseRepresentation
bin110000011111101111…
…1011001110101111000
3100221211000002021202100
41200333133121311320
53201241432141044
6115502052103400
710344536616252
oct1407737316570
9327730067670
10104144412024
1140192895204
1218225904b60
139a89324753
14507d646cd2
152a97ed8869
hex183f7d9d78

104144412024 has 24 divisors (see below), whose sum is σ = 282057782760. Its totient is φ = 34714803984.

The previous prime is 104144412019. The next prime is 104144412041. The reversal of 104144412024 is 420214441401.

It is a happy number.

104144412024 is a `hidden beast` number, since 1 + 0 + 4 + 14 + 441 + 202 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 723225012 + ... + 723225155.

It is an arithmetic number, because the mean of its divisors is an integer number (11752407615).

Almost surely, 2104144412024 is an apocalyptic number.

It is an amenable number.

104144412024 is an abundant number, since it is smaller than the sum of its proper divisors (177913370736).

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

104144412024 is a wasteful number, since it uses less digits than its factorization.

104144412024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446450179 (or 1446450172 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 104144412024 its reverse (420214441401), we get a palindrome (524358853425).

The spelling of 104144412024 in words is "one hundred four billion, one hundred forty-four million, four hundred twelve thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1446450167 2892900334 4339350501 5785800668 8678701002 11571601336 13018051503 17357402004 26036103006 34714804008 52072206012 104144412024