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14047161345 = 345722132239
BaseRepresentation
bin11010001010100011…
…01010110000000001
31100020222012201210000
431011101222300001
5212232033130340
610241515230213
71005046621110
oct150521526001
940228181700
1014047161345
115a59290258
122880448369
13142b3121b9
14973871c77
1557334bd30
hex34546ac01

14047161345 has 80 divisors (see below), whose sum is σ = 28803962880. Its totient is φ = 6415790976.

The previous prime is 14047161341. The next prime is 14047161397. The reversal of 14047161345 is 54316174041.

14047161345 is a `hidden beast` number, since 140 + 471 + 6 + 1 + 3 + 45 = 666.

It is not a de Polignac number, because 14047161345 - 22 = 14047161341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14047161341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6272736 + ... + 6274974.

It is an arithmetic number, because the mean of its divisors is an integer number (360049536).

Almost surely, 214047161345 is an apocalyptic number.

14047161345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14047161345 is an abundant number, since it is smaller than the sum of its proper divisors (14756801535).

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

14047161345 is a wasteful number, since it uses less digits than its factorization.

14047161345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4476 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 14047161345 in words is "fourteen billion, forty-seven million, one hundred sixty-one thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2213 2239 2835 6639 6717 11065 11195 15491 15673 19917 20151 33195 33585 46473 47019 59751 60453 77455 78365 99585 100755 139419 141057 179253 181359 232365 235095 298755 302265 418257 423171 697095 705285 896265 906795 1254771 1269513 2091285 2115855 4954907 6273855 6347565 14864721 24774535 34684349 44594163 74323605 104053047 133782489 173421745 222970815 312159141 401347467 520265235 668912445 936477423 1560795705 2006737335 2809432269 4682387115 14047161345