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42125413302 = 2327334328677
BaseRepresentation
bin100111001110110111…
…101100101110110110
311000201210101201102200
4213032313230232312
51142233101211202
631204021445330
73020623051020
oct471667545666
9130653351380
1042125413302
1116957774565
1281b7870846
133c844ca77b
142078991010
1511683bde1c
hex9cedecbb6

42125413302 has 24 divisors (see below), whose sum is σ = 104310547536. Its totient is φ = 12035832336.

The previous prime is 42125413301. The next prime is 42125413417. The reversal of 42125413302 is 20331452124.

42125413302 is a `hidden beast` number, since 4 + 212 + 5 + 413 + 30 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42125413301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167164213 + ... + 167164464.

It is an arithmetic number, because the mean of its divisors is an integer number (4346272814).

Almost surely, 242125413302 is an apocalyptic number.

42125413302 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

42125413302 is an abundant number, since it is smaller than the sum of its proper divisors (62185134234).

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

42125413302 is a wasteful number, since it uses less digits than its factorization.

42125413302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334328692 (or 334328689 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 42125413302 its reverse (20331452124), we get a palindrome (62456865426).

The spelling of 42125413302 in words is "forty-two billion, one hundred twenty-five million, four hundred thirteen thousand, three hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 334328677 668657354 1002986031 2005972062 2340300739 3008958093 4680601478 6017916186 7020902217 14041804434 21062706651 42125413302