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420041140024 = 23117960420187
BaseRepresentation
bin1100001110011000110…
…01110010011100111000
31111011012101111202202011
412013030121302130320
523340221012440044
6520544135215304
742230003531452
oct6071431623470
91434171452664
10420041140024
11152158300540
12694a6b17534
13307c06bb68c
1416489b172d2
15add608e134
hex61cc672738

420041140024 has 32 divisors (see below), whose sum is σ = 870050707200. Its totient is φ = 188510980320.

The previous prime is 420041140009. The next prime is 420041140081.

420041140024 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 = 420041139977 and 420041140004.

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, 30203142 + ... + 30217045.

It is an arithmetic number, because the mean of its divisors is an integer number (27189084600).

Almost surely, 2420041140024 is an apocalyptic number.

420041140024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420041140024 is an abundant number, since it is smaller than the sum of its proper divisors (450009567176).

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

420041140024 is a wasteful number, since it uses less digits than its factorization.

420041140024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60420283 (or 60420279 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

It can be divided in two parts, 420041 and 140024, that added together give a palindrome (560065).

The spelling of 420041140024 in words is "four hundred twenty billion, forty-one million, one hundred forty thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 79 88 158 316 632 869 1738 3476 6952 60420187 120840374 241680748 483361496 664622057 1329244114 2658488228 4773194773 5316976456 9546389546 19092779092 38185558184 52505142503 105010285006 210020570012 420041140024