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14249690170272 = 253249478090869
BaseRepresentation
bin1100111101011100001110…
…1110001000001110100000
31212110020221102000211101200
43033113003232020032200
53331431331140422042
650150114534001200
73000335414650464
oct317270356101640
955406842024350
1014249690170272
1145a4294681207
1217218284a6200
137c4980a82b2b
1437398da6c4a4
1519aa01915c4c
hexcf5c3b883a0

14249690170272 has 36 divisors (see below), whose sum is σ = 40522556422530. Its totient is φ = 4749896723328.

The previous prime is 14249690170271. The next prime is 14249690170337. The reversal of 14249690170272 is 27207109694241.

14249690170272 is a `hidden beast` number, since 1 + 4 + 249 + 69 + 0 + 1 + 70 + 272 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14249688815376 + 1354896 = 3774876^2 + 1164^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (14249690170271) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24739045147 + ... + 24739045722.

Almost surely, 214249690170272 is an apocalyptic number.

14249690170272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14249690170272 is an abundant number, since it is smaller than the sum of its proper divisors (26272866252258).

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

14249690170272 is a wasteful number, since it uses less digits than its factorization.

14249690170272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49478090885 (or 49478090874 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 14249690170272 in words is "fourteen trillion, two hundred forty-nine billion, six hundred ninety million, one hundred seventy thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 49478090869 98956181738 148434272607 197912363476 296868545214 395824726952 445302817821 593737090428 791649453904 890605635642 1187474180856 1583298907808 1781211271284 2374948361712 3562422542568 4749896723424 7124845085136 14249690170272