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14135135232 = 210317326597
BaseRepresentation
bin11010010101000010…
…10000110000000000
31100111002202021021010
431022201100300000
5212422043311412
610254341000520
71010165444541
oct151241206000
940432667233
1014135135232
115aa3a08349
1228a59b3140
131443604b5a
149814124c8
1557ae2833c
hex34a850c00

14135135232 has 88 divisors (see below), whose sum is σ = 37894489776. Its totient is φ = 4684300288.

The previous prime is 14135135173. The next prime is 14135135233. The reversal of 14135135232 is 23253153141.

It is a self number, because there is not a number n which added to its sum of digits gives 14135135232.

It is not an unprimeable number, because it can be changed into a prime (14135135233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 518158 + ... + 544754.

It is an arithmetic number, because the mean of its divisors is an integer number (430619202).

Almost surely, 214135135232 is an apocalyptic number.

14135135232 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 14135135232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18947244888).

14135135232 is an abundant number, since it is smaller than the sum of its proper divisors (23759354544).

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

14135135232 is a wasteful number, since it uses less digits than its factorization.

14135135232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26793 (or 26775 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

Adding to 14135135232 its reverse (23253153141), we get a palindrome (37388288373).

The spelling of 14135135232 in words is "fourteen billion, one hundred thirty-five million, one hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 256 346 384 512 519 692 768 1024 1038 1384 1536 2076 2768 3072 4152 5536 8304 11072 16608 22144 26597 33216 44288 53194 66432 79791 88576 106388 132864 159582 177152 212776 265728 319164 425552 531456 638328 851104 1276656 1702208 2553312 3404416 4601281 5106624 6808832 9202562 10213248 13617664 13803843 18405124 20426496 27235328 27607686 36810248 40852992 55215372 73620496 81705984 110430744 147240992 220861488 294481984 441722976 588963968 883445952 1177927936 1766891904 2355855872 3533783808 4711711744 7067567616 14135135232