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414000500436 = 22337352511479
BaseRepresentation
bin1100000011001000101…
…10100100111011010100
31110120121101222111001000
412001210112210323110
523240333112003221
6514104511303300
741624214122355
oct6014426447324
91416541874030
10414000500436
1114a638542616
126829bb1ab30
133006a093c23
1416075769d2c
15ab80ac9e26
hex60645a4ed4

414000500436 has 48 divisors (see below), whose sum is σ = 1088037865600. Its totient is φ = 136109750976.

The previous prime is 414000500401. The next prime is 414000500467. The reversal of 414000500436 is 634005000414.

It is a super-2 number, since 2×4140005004362 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 26247856 + ... + 26263623.

Almost surely, 2414000500436 is an apocalyptic number.

It is an amenable number.

414000500436 is an abundant number, since it is smaller than the sum of its proper divisors (674037365164).

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

414000500436 is a wasteful number, since it uses less digits than its factorization.

414000500436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52511565 (or 52511557 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 414000500436 in words is "four hundred fourteen billion, five hundred thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 292 438 657 876 1314 1971 2628 3942 7884 52511479 105022958 157534437 210045916 315068874 472603311 630137748 945206622 1417809933 1890413244 2835619866 3833337967 5671239732 7666675934 11500013901 15333351868 23000027802 34500041703 46000055604 69000083406 103500125109 138000166812 207000250218 414000500436