Search a number
-
+
14161079296 = 210713151969
BaseRepresentation
bin11010011000001000…
…01110110000000000
31100112220120100211101
431030010032300000
5213000214014141
610301105024144
71010632121320
oct151404166000
940486510741
1014161079296
116007618521
1228b2625054
131448ab9980
14984a47280
1557d350531
hex34c10ec00

14161079296 has 88 divisors (see below), whose sum is σ = 34841250080. Its totient is φ = 5602148352.

The previous prime is 14161079213. The next prime is 14161079299. The reversal of 14161079296 is 69297016141.

It is not an unprimeable number, because it can be changed into a prime (14161079299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17200 + ... + 169168.

Almost surely, 214161079296 is an apocalyptic number.

14161079296 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 14161079296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17420625040).

14161079296 is an abundant number, since it is smaller than the sum of its proper divisors (20680170784).

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

14161079296 is a wasteful number, since it uses less digits than its factorization.

14161079296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152009 (or 151991 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

It can be divided in two parts, 14 and 161079296, that multiplied together give a square (2255110144 = 474882).

The spelling of 14161079296 in words is "fourteen billion, one hundred sixty-one million, seventy-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1024 1456 1664 1792 2912 3328 3584 5824 6656 7168 11648 13312 23296 46592 93184 151969 303938 607876 1063783 1215752 1975597 2127566 2431504 3951194 4255132 4863008 7902388 8510264 9726016 13829179 15804776 17020528 19452032 27658358 31609552 34041056 38904064 55316716 63219104 68082112 77808128 110633432 126438208 136164224 155616256 221266864 252876416 272328448 442533728 505752832 544656896 885067456 1011505664 1089313792 1770134912 2023011328 3540269824 7080539648 14161079296