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423238862350080 = 283257125914392897
BaseRepresentation
bin110000000111011101111101…
…0000010111010011100000000
32001111120020111000122111221100
41200032323322002322130000
5420433321142230200310
64100053125453454400
7155101666363463460
oct14016737202723400
92044506430574840
10423238862350080
11112947658a893a7
123b57663a7a1400
131522133ab2c46a
147672c27d0bba0
1533de632842ec0
hex180eefa0ba700

423238862350080 has 864 divisors, whose sum is σ = 1676628746956800. Its totient is φ = 96562954764288.

The previous prime is 423238862349991. The next prime is 423238862350123. The reversal of 423238862350080 is 80053268832324.

423238862350080 is a `hidden beast` number, since 4 + 2 + 3 + 2 + 3 + 8 + 8 + 623 + 5 + 0 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×4232388623500802 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 423238862349999 and 423238862350026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146095567192 + ... + 146095570088.

It is an arithmetic number, because the mean of its divisors is an integer number (1940542531200).

Almost surely, 2423238862350080 is an apocalyptic number.

423238862350080 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 423238862350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838314373478400).

423238862350080 is an abundant number, since it is smaller than the sum of its proper divisors (1253389884606720).

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

423238862350080 is a wasteful number, since it uses less digits than its factorization.

423238862350080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5629 (or 5612 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 423238862350080 in words is "four hundred twenty-three trillion, two hundred thirty-eight billion, eight hundred sixty-two million, three hundred fifty thousand, eighty".