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10024332040 = 235345772493
BaseRepresentation
bin10010101010111111…
…10010101100001000
3221212121112211102001
421111133302230020
5131012212111130
64334412120344
7503261262562
oct112537625410
927777484361
1010024332040
114284524038
121b391660b4
13c39a59628
146b1498332
153da0b76ca
hex2557f2b08

10024332040 has 32 divisors (see below), whose sum is σ = 22561582680. Its totient is φ = 4008517632.

The previous prime is 10024332011. The next prime is 10024332061. The reversal of 10024332040 is 4023342001.

10024332040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5928076036 + 4096256004 = 76994^2 + 64002^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10024331999 and 10024332017.

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, 102034 + ... + 174526.

Almost surely, 210024332040 is an apocalyptic number.

10024332040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024332040 is an abundant number, since it is smaller than the sum of its proper divisors (12537250640).

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

10024332040 is a wasteful number, since it uses less digits than its factorization.

10024332040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75961 (or 75957 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 10024332040 its reverse (4023342001), we get a palindrome (14047674041).

The spelling of 10024332040 in words is "ten billion, twenty-four million, three hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 3457 6914 13828 17285 27656 34570 69140 72493 138280 144986 289972 362465 579944 724930 1449860 2899720 250608301 501216602 1002433204 1253041505 2004866408 2506083010 5012166020 10024332040