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420230032024 = 231141291156537
BaseRepresentation
bin1100001110101111010…
…10010110101010011000
31111011200112221110212011
412013113222112222120
523341112342011044
6521015003555304
742234456223135
oct6072752265230
91434615843764
10420230032024
11152244996930
126953a22bb34
13308208869aa
14164a6c4758c
15ade7952134
hex61d7a96a98

420230032024 has 32 divisors (see below), whose sum is σ = 859770349200. Its totient is φ = 190967224320.

The previous prime is 420230032003. The next prime is 420230032031.

420230032024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 420230031986 and 420230032004.

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, 214917 + ... + 941620.

Almost surely, 2420230032024 is an apocalyptic number.

420230032024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420230032024 is an abundant number, since it is smaller than the sum of its proper divisors (439540317176).

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

420230032024 is a wasteful number, since it uses less digits than its factorization.

420230032024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160683 (or 1160679 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

It can be divided in two parts, 4202300 and 32024, that added together give a palindrome (4234324).

The spelling of 420230032024 in words is "four hundred twenty billion, two hundred thirty million, thirty-two thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 4129 8258 16516 33032 45419 90838 181676 363352 1156537 2313074 4626148 9252296 12721907 25443814 50887628 101775256 4775341273 9550682546 19101365092 38202730184 52528754003 105057508006 210115016012 420230032024