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14004441296 = 242321938573
BaseRepresentation
bin11010000101011101…
…01101000011010000
31100010222211022212222
431002232231003100
5212140114110141
610233351440212
71004020533626
oct150256550320
940128738788
1014004441296
115a3716202a
12286a086068
131422505571
1496bd11516
1556e70e14b
hex342bad0d0

14004441296 has 60 divisors (see below), whose sum is σ = 28514911908. Its totient is φ = 6662295552.

The previous prime is 14004441289. The next prime is 14004441313. The reversal of 14004441296 is 69214440041.

It can be written as a sum of positive squares in 2 ways, for example, as 3948362896 + 10056078400 = 62836^2 + 100280^2 .

It is a super-2 number, since 2×140044412962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1629266 + ... + 1637838.

Almost surely, 214004441296 is an apocalyptic number.

14004441296 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 14004441296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14257455954).

14004441296 is an abundant number, since it is smaller than the sum of its proper divisors (14510470612).

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

14004441296 is a wasteful number, since it uses less digits than its factorization.

14004441296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8820 (or 8791 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 14004441296 in words is "fourteen billion, four million, four hundred forty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 23 46 92 184 193 368 386 529 772 1058 1544 2116 3088 4232 4439 8464 8573 8878 17146 17756 34292 35512 68584 71024 102097 137168 197179 204194 394358 408388 788716 816776 1577432 1633552 1654589 3154864 3309178 4535117 6618356 9070234 13236712 18140468 26473424 36280936 38055547 72561872 76111094 152222188 304444376 608888752 875277581 1750555162 3501110324 7002220648 14004441296