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10234110144 = 263192805403
BaseRepresentation
bin10011000100000000…
…00010000011000000
3222102020021122212110
421202000002003000
5131424413011034
64411304255320
7511416333546
oct114200020300
928366248773
1010234110144
114381985475
121b97471540
13c7135849b
146d12a3d96
153ed703de9
hex2620020c0

10234110144 has 56 divisors (see below), whose sum is σ = 28502904640. Its totient is φ = 3231823104.

The previous prime is 10234110137. The next prime is 10234110149. The reversal of 10234110144 is 44101143201.

It is a self number, because there is not a number n which added to its sum of digits gives 10234110144.

It is not an unprimeable number, because it can be changed into a prime (10234110149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1399054 + ... + 1406349.

It is an arithmetic number, because the mean of its divisors is an integer number (508980440).

Almost surely, 210234110144 is an apocalyptic number.

It is an amenable number.

10234110144 is an abundant number, since it is smaller than the sum of its proper divisors (18268794496).

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

10234110144 is a wasteful number, since it uses less digits than its factorization.

10234110144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805437 (or 2805427 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10234110144 its reverse (44101143201), we get a palindrome (54335253345).

The spelling of 10234110144 in words is "ten billion, two hundred thirty-four million, one hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 2805403 5610806 8416209 11221612 16832418 22443224 33664836 44886448 53302657 67329672 89772896 106605314 134659344 159907971 179545792 213210628 269318688 319815942 426421256 538637376 639631884 852842512 1279263768 1705685024 2558527536 3411370048 5117055072 10234110144