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10042432404 = 2233724193851
BaseRepresentation
bin10010101101001001…
…10101101110010100
3221220212121102102220
421112210311232110
5131031330314104
64340300102340
7503601160404
oct112644655624
927825542386
1010042432404
114293767114
121b432349b0
13c407261c4
146b3a4a804
153db9907d9
hex256935b94

10042432404 has 48 divisors (see below), whose sum is σ = 24165763776. Its totient is φ = 3243456000.

The previous prime is 10042432403. The next prime is 10042432409. The reversal of 10042432404 is 40423424001.

It is a happy number.

10042432404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042432403) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 60079 + ... + 153929.

It is an arithmetic number, because the mean of its divisors is an integer number (503453412).

Almost surely, 210042432404 is an apocalyptic number.

It is an amenable number.

10042432404 is an abundant number, since it is smaller than the sum of its proper divisors (14123331372).

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

10042432404 is a wasteful number, since it uses less digits than its factorization.

10042432404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94136 (or 94134 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10042432404 its reverse (40423424001), we get a palindrome (50465856405).

The spelling of 10042432404 in words is "ten billion, forty-two million, four hundred thirty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 241 444 482 723 964 1446 2892 8917 17834 26751 35668 53502 93851 107004 187702 281553 375404 563106 1126212 3472487 6944974 10417461 13889948 20834922 22618091 41669844 45236182 67854273 90472364 135708546 271417092 836869367 1673738734 2510608101 3347477468 5021216202 10042432404