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10413234144 = 253236157063
BaseRepresentation
bin10011011001010110…
…10101011111100000
3222212201100002210200
421230223111133200
5132311241443034
64441143425200
7516023013135
oct115453253740
928781302720
1010413234144
114463aa9a35
122027455200
13c9c4b3711
1470adb058c
1540e2d7a99
hex26cad57e0

10413234144 has 36 divisors (see below), whose sum is σ = 29612635416. Its totient is φ = 3471077952.

The previous prime is 10413234119. The next prime is 10413234151. The reversal of 10413234144 is 44143231401.

10413234144 is a `hidden beast` number, since 1 + 0 + 413 + 234 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18078244 + ... + 18078819.

It is an arithmetic number, because the mean of its divisors is an integer number (822573206).

Almost surely, 210413234144 is an apocalyptic number.

It is an amenable number.

10413234144 is an abundant number, since it is smaller than the sum of its proper divisors (19199401272).

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

10413234144 is a wasteful number, since it uses less digits than its factorization.

10413234144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36157079 (or 36157068 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10413234144 its reverse (44143231401), we get a palindrome (54556465545).

The spelling of 10413234144 in words is "ten billion, four hundred thirteen million, two hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 36157063 72314126 108471189 144628252 216942378 289256504 325413567 433884756 578513008 650827134 867769512 1157026016 1301654268 1735539024 2603308536 3471078048 5206617072 10413234144