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420020020024 = 231131153966283
BaseRepresentation
bin1100001110010110010…
…01001110001100111000
31111011010220202202112221
412013023021032030320
523340200111120044
6520542102413424
742226326156223
oct6071311161470
91434126682487
10420020020024
111521473957a0
126949ba31274
13307b9205537
1416486dba5ba
15add42bb484
hex61cb24e338

420020020024 has 32 divisors (see below), whose sum is σ = 886845795840. Its totient is φ = 184759538400.

The previous prime is 420020020001. The next prime is 420020020031.

420020020024 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4200200200242 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76980414 + ... + 76985869.

It is an arithmetic number, because the mean of its divisors is an integer number (27713931120).

Almost surely, 2420020020024 is an apocalyptic number.

420020020024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420020020024 is an abundant number, since it is smaller than the sum of its proper divisors (466825775816).

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

420020020024 is a wasteful number, since it uses less digits than its factorization.

420020020024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153966331 (or 153966327 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

It can be divided in two parts, 4200200 and 20024, that added together give a palindrome (4220224).

The spelling of 420020020024 in words is "four hundred twenty billion, twenty million, twenty thousand, twenty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 1364 2728 153966283 307932566 615865132 1231730264 1693629113 3387258226 4772954773 6774516452 9545909546 13549032904 19091819092 38183638184 52502502503 105005005006 210010010012 420020020024