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14205083088 = 2437192225107
BaseRepresentation
bin11010011101011000…
…00101110111010000
31100122222100222200110
431032230011313100
5213043000124323
610305320121320
71012005133260
oct151654056720
940588328613
1014205083088
11602a443199
122905306240
131454c55a11
1498a81d7a0
15582143793
hex34eb05dd0

14205083088 has 80 divisors (see below), whose sum is σ = 44146142720. Its totient is φ = 3844983168.

The previous prime is 14205083063. The next prime is 14205083089. The reversal of 14205083088 is 88038050241.

14205083088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14205083089) by changing a digit.

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, 1106170 + ... + 1118937.

It is an arithmetic number, because the mean of its divisors is an integer number (551826784).

Almost surely, 214205083088 is an apocalyptic number.

It is an amenable number.

14205083088 is an abundant number, since it is smaller than the sum of its proper divisors (29941059632).

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

14205083088 is a wasteful number, since it uses less digits than its factorization.

14205083088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225144 (or 2225138 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 14205083088 in words is "fourteen billion, two hundred five million, eighty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 2225107 4450214 6675321 8900428 13350642 15575749 17800856 26701284 31151498 35601712 42277033 46727247 53402568 62302996 84554066 93454494 106805136 124605992 126831099 169108132 186908988 249211984 253662198 295939231 338216264 373817976 507324396 591878462 676432528 747635952 887817693 1014648792 1183756924 1775635386 2029297584 2367513848 3551270772 4735027696 7102541544 14205083088