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10144431152 = 242371388259
BaseRepresentation
bin10010111001010011…
…11011110000110000
3222011222112111102022
421130221323300300
5131233433244102
64354342211012
7506250146012
oct113451736060
928158474368
1010144431152
1143362a32a9
121b71423a68
13c588b96ab
146c33dc1b2
153e58dc5a2
hex25ca7bc30

10144431152 has 40 divisors (see below), whose sum is σ = 20798311680. Its totient is φ = 4783338560.

The previous prime is 10144431107. The next prime is 10144431173. The reversal of 10144431152 is 25113444101.

10144431152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168002 + ... + 220257.

It is an arithmetic number, because the mean of its divisors is an integer number (519957792).

Almost surely, 210144431152 is an apocalyptic number.

It is an amenable number.

10144431152 is an abundant number, since it is smaller than the sum of its proper divisors (10653880528).

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

10144431152 is a wasteful number, since it uses less digits than its factorization.

10144431152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388361 (or 388355 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 10144431152 its reverse (25113444101), we get a palindrome (35257875253).

The spelling of 10144431152 in words is "ten billion, one hundred forty-four million, four hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 23 46 71 92 142 184 284 368 568 1136 1633 3266 6532 13064 26128 388259 776518 1553036 3106072 6212144 8929957 17859914 27566389 35719828 55132778 71439656 110265556 142879312 220531112 441062224 634026947 1268053894 2536107788 5072215576 10144431152