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420373223424 = 2113272111719131
BaseRepresentation
bin1100001111000000011…
…00100101100000000000
31111012001112101100112100
412013200030211200000
523341411021122144
6521041121030400
742241145304600
oct6074014454000
91435045340470
10420373223424
111523087a8730
126957a185400
133084444082b
14164bbc7cc00
15ae052d9269
hex61e0325800

420373223424 has 1728 divisors, whose sum is σ = 1730333404800. Its totient is φ = 96613171200.

The previous prime is 420373223419. The next prime is 420373223447. The reversal of 420373223424 is 424322373024.

420373223424 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 7 + 3 + 223 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3208955839 + ... + 3208955969.

It is an arithmetic number, because the mean of its divisors is an integer number (1001350350).

Almost surely, 2420373223424 is an apocalyptic number.

420373223424 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 420373223424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865166702400).

420373223424 is an abundant number, since it is smaller than the sum of its proper divisors (1309960181376).

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

420373223424 is a wasteful number, since it uses less digits than its factorization.

420373223424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 36.

Adding to 420373223424 its reverse (424322373024), we get a palindrome (844695596448).

The spelling of 420373223424 in words is "four hundred twenty billion, three hundred seventy-three million, two hundred twenty-three thousand, four hundred twenty-four".