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214149581135 = 57229673491289
BaseRepresentation
bin1100011101110001001…
…1110100100101001111
3202110202110012212210222
43013130103310211033
512002034243044020
6242213504421555
721320553256100
oct3073423644517
9673673185728
10214149581135
1182902945a06
12356063178bb
131726a9113a9
14a5173b43a7
1558857a2b25
hex31dc4f494f

214149581135 has 96 divisors (see below), whose sum is σ = 315002520000. Its totient is φ = 139157415936.

The previous prime is 214149581083. The next prime is 214149581143. The reversal of 214149581135 is 531185941412.

It is not a de Polignac number, because 214149581135 - 224 = 214132803919 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 166135571 + ... + 166136859.

It is an arithmetic number, because the mean of its divisors is an integer number (3281276250).

Almost surely, 2214149581135 is an apocalyptic number.

214149581135 is a deficient number, since it is larger than the sum of its proper divisors (100852938865).

214149581135 is a wasteful number, since it uses less digits than its factorization.

214149581135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1746 counting only the distinct ones).

The product of its digits is 172800, while the sum is 44.

The spelling of 214149581135 in words is "two hundred fourteen billion, one hundred forty-nine million, five hundred eighty-one thousand, one hundred thirty-five".

Divisors: 1 5 7 29 35 49 67 145 203 245 335 349 469 1015 1289 1421 1745 1943 2345 2443 3283 6445 7105 9023 9715 10121 12215 13601 16415 17101 23383 37381 45115 50605 63161 68005 70847 85505 86363 95207 116915 163681 186905 261667 315805 354235 431815 449861 476035 495929 604541 678107 818405 1145767 1308335 1831669 2249305 2479645 2504527 3022705 3149027 3390535 4231787 4746749 5728835 9158345 12522635 13045969 15745135 17531689 21158935 22043189 23733745 30140687 33227243 65229845 87658445 91321783 110215945 122721823 150703435 166136215 210984809 456608915 613609115 639252481 874079923 1054924045 1476893663 3196262405 4370399615 6118559461 7384468315 30592797305 42829916227 214149581135