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40623448430664 = 2332113123931721839
BaseRepresentation
bin10010011110010011000100…
…01101101001100001001000
312022211120012222010202121200
421033021202031221201020
520311033310244240124
6222222053215504200
711361642631213251
oct1117114215514110
9168746188122550
1040623448430664
1111a42342651690
12468111a828060
131988a0c1816c8
14a06284a1bb28
154a6a98427bc9
hex24f262369848

40623448430664 has 384 divisors, whose sum is σ = 124812140544000. Its totient is φ = 11825224588800.

The previous prime is 40623448430641. The next prime is 40623448430681. The reversal of 40623448430664 is 46603484432604.

40623448430664 is a `hidden beast` number, since 4 + 0 + 6 + 234 + 48 + 4 + 306 + 64 = 666.

40623448430664 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40623448430664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1860122257 + ... + 1860144095.

It is an arithmetic number, because the mean of its divisors is an integer number (325031616000).

Almost surely, 240623448430664 is an apocalyptic number.

40623448430664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40623448430664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62406070272000).

40623448430664 is an abundant number, since it is smaller than the sum of its proper divisors (84188692113336).

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

40623448430664 is a wasteful number, since it uses less digits than its factorization.

40623448430664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22449 (or 22442 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 54.

The spelling of 40623448430664 in words is "forty trillion, six hundred twenty-three billion, four hundred forty-eight million, four hundred thirty thousand, six hundred sixty-four".