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424142241424 = 24114618752177
BaseRepresentation
bin1100010110000001101…
…10001111111010010000
31111112210012110022020121
412023000312033322100
523422120403211144
6522503120120024
742433432365346
oct6130066177220
91445705408217
10424142241424
11153972268740
126a250466014
1330cc524acb5
1416758667996
15b076135384
hex62c0d8fe90

424142241424 has 40 divisors (see below), whose sum is σ = 896519056608. Its totient is φ = 192784058880.

The previous prime is 424142241407. The next prime is 424142241431.

424142241424 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 424142241424.

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, 8102824 + ... + 8155000.

Almost surely, 2424142241424 is an apocalyptic number.

424142241424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

424142241424 is an abundant number, since it is smaller than the sum of its proper divisors (472376815184).

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

424142241424 is a wasteful number, since it uses less digits than its factorization.

424142241424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98383 (or 98377 counting only the distinct ones).

The product of its digits is 65536, while the sum is 34.

It can be divided in two parts, 424142 and 241424, that added together give a palindrome (665566).

The spelling of 424142241424 in words is "four hundred twenty-four billion, one hundred forty-two million, two hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 46187 52177 92374 104354 184748 208708 369496 417416 508057 573947 738992 834832 1016114 1147894 2032228 2295788 4064456 4591576 8128912 9183152 2409899099 4819798198 9639596396 19279192792 26508890089 38558385584 53017780178 106035560356 212071120712 424142241424