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14105045160 = 233454353409
BaseRepresentation
bin11010010001011100…
…11110100010101000
31100102000010112110000
431020232132202220
5212341342421120
610251344023000
71006351622433
oct151056364250
940360115400
1014105045160
115a88a26218
122897901a60
13143a2cab8b
1497b41c81a
15578482990
hex348b9e8a8

14105045160 has 80 divisors (see below), whose sum is σ = 47408634900. Its totient is φ = 3761344512.

The previous prime is 14105045111. The next prime is 14105045177. The reversal of 14105045160 is 6154050141.

14105045160 is a `hidden beast` number, since 1 + 410 + 50 + 45 + 160 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12410405604 + 1694639556 = 111402^2 + 41166^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2173465 + ... + 2179944.

Almost surely, 214105045160 is an apocalyptic number.

14105045160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14105045160 is an abundant number, since it is smaller than the sum of its proper divisors (33303589740).

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

14105045160 is a wasteful number, since it uses less digits than its factorization.

14105045160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4353432 (or 4353419 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 14105045160 in words is "fourteen billion, one hundred five million, forty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 4353409 8706818 13060227 17413636 21767045 26120454 34827272 39180681 43534090 52240908 65301135 78361362 87068180 104481816 117542043 130602270 156722724 174136360 195903405 235084086 261204540 313445448 352626129 391806810 470168172 522409080 587710215 705252258 783613620 940336344 1175420430 1410504516 1567227240 1763130645 2350840860 2821009032 3526261290 4701681720 7052522580 14105045160