Search a number
-
+
438464367078331 = 11174749887856079
BaseRepresentation
bin110001110110001111111000…
…0110110001010101110111011
32010111110210011121221000111011
41203230133300312022232323
5424432300010433001311
64152311425520214351
7161233001522360446
oct14354376066125673
92114423147830434
10438464367078331
1111778776a522990
12412153b946a3b7
1315a87021323889
147a3bb07cb465d
1535a56e759d321
hex18ec7f0d8abbb

438464367078331 has 16 divisors (see below), whose sum is σ = 517237291837440. Its totient is φ = 367174620734080.

The previous prime is 438464367078323. The next prime is 438464367078349. The reversal of 438464367078331 is 133870763464834.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 438464367078331 - 23 = 438464367078323 is a prime.

It is a super-2 number, since 2×4384643670783312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (438464367078371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24943919251 + ... + 24943936828.

It is an arithmetic number, because the mean of its divisors is an integer number (32327330739840).

Almost surely, 2438464367078331 is an apocalyptic number.

438464367078331 is a deficient number, since it is larger than the sum of its proper divisors (78772924759109).

438464367078331 is a wasteful number, since it uses less digits than its factorization.

438464367078331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49887856154.

The product of its (nonzero) digits is 585252864, while the sum is 67.

The spelling of 438464367078331 in words is "four hundred thirty-eight trillion, four hundred sixty-four billion, three hundred sixty-seven million, seventy-eight thousand, three hundred thirty-one".

Divisors: 1 11 17 47 187 517 799 8789 49887856079 548766416869 848093553343 2344729235713 9329029086773 25792021592843 39860397007121 438464367078331