Search a number
-
+
12441400031 = 307279714489
BaseRepresentation
bin10111001011001000…
…01011001011011111
31012010001200121100202
423211210023023133
5200434444300111
65414314214115
7620211104204
oct134544131337
935101617322
1012441400031
115304933a95
1224b272433b
13123373cc88
148604bbcab
154cc3b0b3b
hex2e590b2df

12441400031 has 8 divisors (see below), whose sum is σ = 12487250160. Its totient is φ = 12395585088.

The previous prime is 12441400007. The next prime is 12441400061. The reversal of 12441400031 is 13000414421.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12441400031 is a prime.

It is a super-2 number, since 2×124414000312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12441399976 and 12441400012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12441400061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 851435 + ... + 865923.

It is an arithmetic number, because the mean of its divisors is an integer number (1560906270).

Almost surely, 212441400031 is an apocalyptic number.

12441400031 is a deficient number, since it is larger than the sum of its proper divisors (45850129).

12441400031 is a wasteful number, since it uses less digits than its factorization.

12441400031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17593.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12441400031 its reverse (13000414421), we get a palindrome (25441814452).

The spelling of 12441400031 in words is "twelve billion, four hundred forty-one million, four hundred thousand, thirty-one".

Divisors: 1 307 2797 14489 858679 4448123 40525733 12441400031