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10240144432 = 24791429861
BaseRepresentation
bin10011000100101110…
…00011010000110000
3222102122122020100121
421202113003100300
5131432434110212
64412041500024
7511521535330
oct114227032060
928378566317
1010240144432
114385327091
121b994a1614
13c7268bc7b
146d1dd50c0
153edee6d07
hex2625c3430

10240144432 has 20 divisors (see below), whose sum is σ = 22674605776. Its totient is φ = 4388633280.

The previous prime is 10240144427. The next prime is 10240144451. The reversal of 10240144432 is 23444104201.

It is a junction number, because it is equal to n+sod(n) for n = 10240144397 and 10240144406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45714819 + ... + 45715042.

Almost surely, 210240144432 is an apocalyptic number.

It is an amenable number.

10240144432 is an abundant number, since it is smaller than the sum of its proper divisors (12434461344).

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

10240144432 is an equidigital number, since it uses as much as digits as its factorization.

10240144432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91429876 (or 91429870 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 10240144432 its reverse (23444104201), we get a palindrome (33684248633).

The spelling of 10240144432 in words is "ten billion, two hundred forty million, one hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 91429861 182859722 365719444 640009027 731438888 1280018054 1462877776 2560036108 5120072216 10240144432