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12344414024030 = 2511101211001073
BaseRepresentation
bin1011001110100010100001…
…1010011011000101011110
31121201010002102211022200112
42303220220122123011132
53104222324442232110
642130540121530022
72412566041633364
oct263505032330536
947633072738615
1012344414024030
113a2a266997790
12147451b343912
136b70c4c0408a
14309689617634
1516618e870405
hexb3a2869b15e

12344414024030 has 48 divisors (see below), whose sum is σ = 24482318131152. Its totient is φ = 4444433088000.

The previous prime is 12344414024017. The next prime is 12344414024051. The reversal of 12344414024030 is 3042041444321.

12344414024030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4378427 + ... + 6622646.

It is an arithmetic number, because the mean of its divisors is an integer number (510048294399).

Almost surely, 212344414024030 is an apocalyptic number.

12344414024030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12344414024030 is a deficient number, since it is larger than the sum of its proper divisors (12137904107122).

12344414024030 is a wasteful number, since it uses less digits than its factorization.

12344414024030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11001293 (or 11001192 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 12344414024030 its reverse (3042041444321), we get a palindrome (15386455468351).

The spelling of 12344414024030 in words is "twelve trillion, three hundred forty-four billion, four hundred fourteen million, twenty-four thousand, thirty".

Divisors: 1 2 5 10 11 22 55 101 110 202 505 1010 1111 2222 5555 10201 11110 20402 51005 102010 112211 224422 561055 1122110 11001073 22002146 55005365 110010730 121011803 242023606 605059015 1111108373 1210118030 2222216746 5555541865 11111083730 12222192103 24444384206 61110960515 112221945673 122221921030 224443891346 561109728365 1122219456730 1234441402403 2468882804806 6172207012015 12344414024030