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14139107232 = 2532272632467
BaseRepresentation
bin11010010101100000…
…11010011110100000
31100111101020001211020
431022300122132200
5212424102412412
610255002045440
71010244266655
oct151260323640
940441201736
1014139107232
115aa6180598
1228a71a9880
131444395a53
14981b67c2c
1557b46018c
hex34ac1a7a0

14139107232 has 96 divisors (see below), whose sum is σ = 37435571712. Its totient is φ = 4672537344.

The previous prime is 14139107189. The next prime is 14139107233. The reversal of 14139107232 is 23270193141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 14139107193 and 14139107202.

It is not an unprimeable number, because it can be changed into a prime (14139107233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5730063 + ... + 5732529.

It is an arithmetic number, because the mean of its divisors is an integer number (389953872).

Almost surely, 214139107232 is an apocalyptic number.

14139107232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14139107232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18717785856).

14139107232 is an abundant number, since it is smaller than the sum of its proper divisors (23296464480).

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

14139107232 is a wasteful number, since it uses less digits than its factorization.

14139107232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 14139107232 in words is "fourteen billion, one hundred thirty-nine million, one hundred seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 227 263 454 526 681 789 908 1052 1362 1578 1816 2104 2467 2724 3156 3632 4208 4934 5448 6312 7264 7401 8416 9868 10896 12624 14802 19736 21792 25248 29604 39472 59208 59701 78944 118416 119402 179103 236832 238804 358206 477608 560009 648821 716412 955216 1120018 1297642 1432824 1680027 1910432 1946463 2240036 2595284 2865648 3360054 3892926 4480072 5190568 5731296 6720108 7785852 8960144 10381136 13440216 15571704 17920288 20762272 26880432 31143408 53760864 62286816 147282367 294564734 441847101 589129468 883694202 1178258936 1767388404 2356517872 3534776808 4713035744 7069553616 14139107232