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14491730352 = 2431137373583
BaseRepresentation
bin11010111111100011…
…00100000110110000
31101101221202011210210
431133301210012300
5214134340332402
610354000024120
71022055450501
oct153761440660
941357664723
1014491730352
116167227560
122985302040
13149c459b98
149b6918ba8
1559c3b606c
hex35fc641b0

14491730352 has 80 divisors (see below), whose sum is σ = 40950379008. Its totient is φ = 4379600640.

The previous prime is 14491730339. The next prime is 14491730353. The reversal of 14491730352 is 25303719441.

14491730352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14491730352.

It is not an unprimeable number, because it can be changed into a prime (14491730353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160153 + ... + 233735.

Almost surely, 214491730352 is an apocalyptic number.

14491730352 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 14491730352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20475189504).

14491730352 is an abundant number, since it is smaller than the sum of its proper divisors (26458648656).

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

14491730352 is a wasteful number, since it uses less digits than its factorization.

14491730352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73978 (or 73972 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 14491730352 in words is "fourteen billion, four hundred ninety-one million, seven hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 373 528 746 1119 1492 2238 2984 4103 4476 5968 8206 8952 12309 16412 17904 24618 32824 49236 65648 73583 98472 147166 196944 220749 294332 441498 588664 809413 882996 1177328 1618826 1765992 2428239 3237652 3531984 4856478 6475304 9712956 12950608 19425912 27446459 38851824 54892918 82339377 109785836 164678754 219571672 301911049 329357508 439143344 603822098 658715016 905733147 1207644196 1317430032 1811466294 2415288392 3622932588 4830576784 7245865176 14491730352