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42366106044360 = 23335717851313931
BaseRepresentation
bin10011010001000001000001…
…01100111000011111001000
312120000011022202212212222000
421220200200230320133020
521023111241121404420
6230034415340231000
711631564413425440
oct1150404054703710
9176004282785860
1042366106044360
111255440141a76a
124902a0323b460
131a841504323c7
14a6675d895120
154d708dbde690
hex268820b387c8

42366106044360 has 256 divisors, whose sum is σ = 161404245043200. Its totient is φ = 9683108064000.

The previous prime is 42366106044347. The next prime is 42366106044397. The reversal of 42366106044360 is 6344060166324.

42366106044360 is a `hidden beast` number, since 4 + 2 + 3 + 6 + 6 + 1 + 0 + 604 + 4 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134796595 + ... + 135110525.

It is an arithmetic number, because the mean of its divisors is an integer number (630485332200).

Almost surely, 242366106044360 is an apocalyptic number.

42366106044360 is a gapful number since it is divisible by the number (40) 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 42366106044360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80702122521600).

42366106044360 is an abundant number, since it is smaller than the sum of its proper divisors (119038138998840).

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

42366106044360 is a wasteful number, since it uses less digits than its factorization.

42366106044360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331809 (or 331799 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 42366106044360 in words is "forty-two trillion, three hundred sixty-six billion, one hundred six million, forty-four thousand, three hundred sixty".