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14104551136 = 2513137263941
BaseRepresentation
bin11010010001011001…
…00101111011100000
31100101222012102202211
431020230211323200
5212341231114021
610251325251504
71006344464224
oct151054457340
940358172684
1014104551136
115a88719035
122897703b94
13143a187060
1497b330784
155783d63e1
hex348b25ee0

14104551136 has 96 divisors (see below), whose sum is σ = 30269308608. Its totient is φ = 6430863360.

The previous prime is 14104551113. The next prime is 14104551137. The reversal of 14104551136 is 63115540141.

It is a junction number, because it is equal to n+sod(n) for n = 14104551098 and 14104551107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14104551137) 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, 14988426 + ... + 14989366.

It is an arithmetic number, because the mean of its divisors is an integer number (315305298).

Almost surely, 214104551136 is an apocalyptic number.

14104551136 is a gapful number since it is divisible by the number (16) 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 14104551136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15134654304).

14104551136 is an abundant number, since it is smaller than the sum of its proper divisors (16164757472).

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

14104551136 is a wasteful number, since it uses less digits than its factorization.

14104551136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 14104551136 in words is "fourteen billion, one hundred four million, five hundred fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 137 208 263 274 416 526 548 941 1052 1096 1781 1882 2104 2192 3419 3562 3764 4208 4384 6838 7124 7528 8416 12233 13676 14248 15056 24466 27352 28496 30112 36031 48932 54704 56992 72062 97864 109408 128917 144124 195728 247483 257834 288248 391456 468403 494966 515668 576496 936806 989932 1031336 1152992 1675921 1873612 1979864 2062672 3217279 3351842 3747224 3959728 4125344 6434558 6703684 7494448 7919456 12869116 13407368 14988896 25738232 26814736 33905171 51476464 53629472 67810342 102952928 135620684 271241368 440767223 542482736 881534446 1084965472 1763068892 3526137784 7052275568 14104551136