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420442244024 = 23115854381611
BaseRepresentation
bin1100001111001000100…
…11111000001110111000
31111012020100020221222212
412013210103320032320
523342031203302044
6521052024234252
742242644052045
oct6074423701670
91435210227885
10420442244024
1115234375a950
126959930b988
133085582861a
14164c70c81cc
15ae0b3bea9e
hex61e44f83b8

420442244024 has 32 divisors (see below), whose sum is σ = 860020727040. Its totient is φ = 191104504800.

The previous prime is 420442244009. The next prime is 420442244063.

420442244024 is nontrivially palindromic in base 10.

It is a congruent number.

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, 5110979 + ... + 5192589.

It is an arithmetic number, because the mean of its divisors is an integer number (26875647720).

Almost surely, 2420442244024 is an apocalyptic number.

420442244024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420442244024 is an abundant number, since it is smaller than the sum of its proper divisors (439578483016).

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

420442244024 is a wasteful number, since it uses less digits than its factorization.

420442244024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140171 (or 140167 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

It can be divided in two parts, 420442 and 244024, that added together give a palindrome (664466).

The spelling of 420442244024 in words is "four hundred twenty billion, four hundred forty-two million, two hundred forty-four thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 58543 81611 117086 163222 234172 326444 468344 643973 652888 897721 1287946 1795442 2575892 3590884 5151784 7181768 4777752773 9555505546 19111011092 38222022184 52555280503 105110561006 210221122012 420442244024