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413349940008 = 23325740971389
BaseRepresentation
bin1100000001111011001…
…00111000101100101000
31110111221001211120220100
412000331210320230220
523233020041040013
6513520151425400
741602124342625
oct6007544705450
91414831746810
10413349940008
1114a3342a0975
126813a085260
132cc95374b25
14160131c134c
15ab43921473
hex603d938b28

413349940008 has 24 divisors (see below), whose sum is σ = 1119489421050. Its totient is φ = 137783313312.

The previous prime is 413349940007. The next prime is 413349940027. The reversal of 413349940008 is 800049943314.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 330208831044 + 83141108964 = 574638^2 + 288342^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (413349940007) 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 5 ways as a sum of consecutive naturals, for example, 2870485623 + ... + 2870485766.

Almost surely, 2413349940008 is an apocalyptic number.

It is an amenable number.

413349940008 is an abundant number, since it is smaller than the sum of its proper divisors (706139481042).

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

413349940008 is a wasteful number, since it uses less digits than its factorization.

413349940008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5740971401 (or 5740971394 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 413349940008 in words is "four hundred thirteen billion, three hundred forty-nine million, nine hundred forty thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5740971389 11481942778 17222914167 22963885556 34445828334 45927771112 51668742501 68891656668 103337485002 137783313336 206674970004 413349940008