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424224010144 = 25111398670373
BaseRepresentation
bin1100010110001011011…
…10001010111110100000
31111112222220022120211201
412023011232022332200
523422302321311034
6522515200450544
742435444406204
oct6130556127640
91445886276751
10424224010144
11153a044377a0
126a273919a54
133100917a45c
1416765470b04
15b07d3d8014
hex62c5b8afa0

424224010144 has 48 divisors (see below), whose sum is σ = 917672384160. Its totient is φ = 191441813760.

The previous prime is 424224010127. The next prime is 424224010151. The reversal of 424224010144 is 441010422424.

It is a happy number.

It is a super-2 number, since 2×4242240101442 (a number of 24 digits) contains 22 as substring.

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, 4286259 + ... + 4384114.

It is an arithmetic number, because the mean of its divisors is an integer number (19118174670).

Almost surely, 2424224010144 is an apocalyptic number.

424224010144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

424224010144 is an abundant number, since it is smaller than the sum of its proper divisors (493448374016).

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

424224010144 is a wasteful number, since it uses less digits than its factorization.

424224010144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8670533 (or 8670525 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 424224010144 its reverse (441010422424), we get a palindrome (865234432568).

The spelling of 424224010144 in words is "four hundred twenty-four billion, two hundred twenty-four million, ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 139 176 278 352 556 1112 1529 2224 3058 4448 6116 12232 24464 48928 8670373 17340746 34681492 69362984 95374103 138725968 190748206 277451936 381496412 762992824 1205181847 1525985648 2410363694 3051971296 4820727388 9641454776 13257000317 19282909552 26514000634 38565819104 53028001268 106056002536 212112005072 424224010144