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420134431024 = 24711341018207
BaseRepresentation
bin1100001110100011111…
…01101010100100110000
31111011102220001102221101
412013101331222210300
523340413403243044
6521001310534144
742232215512050
oct6072175524460
91434386042841
10420134431024
111521a5a2a440
1269512207354
1330806b23559
141649827d560
15adde36acd4
hex61d1f6a930

420134431024 has 40 divisors (see below), whose sum is σ = 1014870187008. Its totient is φ = 163688738880.

The previous prime is 420134431001. The next prime is 420134431069.

420134431024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 420134430983 and 420134431001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170507872 + ... + 170510335.

Almost surely, 2420134431024 is an apocalyptic number.

420134431024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420134431024 is an abundant number, since it is smaller than the sum of its proper divisors (594735755984).

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

420134431024 is a wasteful number, since it uses less digits than its factorization.

420134431024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341018233 (or 341018227 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 420134 and 431024, that added together give a palindrome (851158).

The spelling of 420134431024 in words is "four hundred twenty billion, one hundred thirty-four million, four hundred thirty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 341018207 682036414 1364072828 2387127449 2728145656 3751200277 4774254898 5456291312 7502400554 9548509796 15004801108 19097019592 26258401939 30009602216 38194039184 52516803878 60019204432 105033607756 210067215512 420134431024