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14005504233 = 337271149101
BaseRepresentation
bin11010000101100101…
…10000100011101001
31100011001211022222000
431002302300203221
5212140402113413
610233430321213
71004032551600
oct150262604351
940131738860
1014005504233
115a37818696
12286a4b9209
1314227b8316
1496c10aa37
1556e86e073
hex342cb08e9

14005504233 has 48 divisors (see below), whose sum is σ = 24476584320. Its totient is φ = 7890372000.

The previous prime is 14005504231. The next prime is 14005504237. The reversal of 14005504233 is 33240550041.

14005504233 is a `hidden beast` number, since 1 + 40 + 0 + 550 + 42 + 33 = 666.

It is not a de Polignac number, because 14005504233 - 21 = 14005504231 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 14005504197 and 14005504206.

It is not an unprimeable number, because it can be changed into a prime (14005504231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19383 + ... + 168483.

It is an arithmetic number, because the mean of its divisors is an integer number (509928840).

Almost surely, 214005504233 is an apocalyptic number.

It is an amenable number.

14005504233 is a deficient number, since it is larger than the sum of its proper divisors (10471080087).

14005504233 is a wasteful number, since it uses less digits than its factorization.

14005504233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149195 (or 149182 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 14005504233 in words is "fourteen billion, five million, five hundred four thousand, two hundred thirty-three".

Divisors: 1 3 7 9 21 27 49 63 71 147 189 213 441 497 639 1323 1491 1917 3479 4473 10437 13419 31311 93933 149101 447303 1043707 1341909 3131121 4025727 7305949 9393363 10586171 21917847 28180089 31758513 65753541 74103197 95275539 197260623 222309591 285826617 518722379 666928773 1556167137 2000786319 4668501411 14005504233