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200144424024 = 23325557500231
BaseRepresentation
bin1011101001100110001…
…0011000110001011000
3201010121102001012000100
42322121202120301120
511234343433032044
6231540045335400
720313523351206
oct2723142306130
9633542035010
10200144424024
11779763450a6
1232957b67560
1315b4821808c
149989358076
155315ea1869
hex2e99898c58

200144424024 has 48 divisors (see below), whose sum is σ = 542156443920. Its totient is φ = 66702669120.

The previous prime is 200144424001. The next prime is 200144424037. The reversal of 200144424024 is 420424441002.

200144424024 is a `hidden beast` number, since 200 + 14 + 4 + 42 + 402 + 4 = 666.

It is a super-3 number, since 3×2001444240243 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149989 + ... + 650219.

It is an arithmetic number, because the mean of its divisors is an integer number (11294925915).

Almost surely, 2200144424024 is an apocalyptic number.

200144424024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

200144424024 is an abundant number, since it is smaller than the sum of its proper divisors (342012019896).

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

200144424024 is a wasteful number, since it uses less digits than its factorization.

200144424024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505800 (or 505793 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 200144424024 its reverse (420424441002), we get a palindrome (620568865026).

The spelling of 200144424024 in words is "two hundred billion, one hundred forty-four million, four hundred twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5557 11114 16671 22228 33342 44456 50013 66684 100026 133368 200052 400104 500231 1000462 1500693 2000924 3001386 4001848 4502079 6002772 9004158 12005544 18008316 36016632 2779783667 5559567334 8339351001 11119134668 16678702002 22238269336 25018053003 33357404004 50036106006 66714808008 100072212012 200144424024