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14001033616 = 242383593773
BaseRepresentation
bin11010000101000011…
…01101000110010000
31100010202102012102121
431002201231012100
5212133231033431
610233150424024
71003646551663
oct150241550620
940122365377
1014001033616
115a35244869
122868b02014
1314218b149b
1496b6a56da
1556e289611
hex34286d190

14001033616 has 80 divisors (see below), whose sum is σ = 28732910976. Its totient is φ = 6595770368.

The previous prime is 14001033523. The next prime is 14001033643. The reversal of 14001033616 is 61633010041.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18112206 + ... + 18112978.

Almost surely, 214001033616 is an apocalyptic number.

14001033616 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 14001033616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14366455488).

14001033616 is an abundant number, since it is smaller than the sum of its proper divisors (14731877360).

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

14001033616 is a wasteful number, since it uses less digits than its factorization.

14001033616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 14001033616 its reverse (61633010041), we get a palindrome (75634043657).

The spelling of 14001033616 in words is "fourteen billion, one million, thirty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 23 46 83 92 166 184 332 368 593 664 773 1186 1328 1546 1909 2372 3092 3818 4744 6184 7636 9488 12368 13639 15272 17779 27278 30544 35558 49219 54556 64159 71116 98438 109112 128318 142232 196876 218224 256636 284464 393752 458389 513272 787504 916778 1026544 1132037 1475657 1833556 2264074 2951314 3667112 4528148 5902628 7334224 9056296 10542947 11805256 18112592 21085894 23610512 38046287 42171788 76092574 84343576 152185148 168687152 304370296 608740592 875064601 1750129202 3500258404 7000516808 14001033616