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444005103113 = 11132923691951
BaseRepresentation
bin1100111011000001100…
…01000011011000001001
31120110001110221020002122
412131200301003120021
524233310301244423
6535550110141025
744035601051165
oct6354061033011
91513043836078
10444005103113
1116133533a710
12720744b1775
1332b3c3aacb0
14176c0651ca5
15b839d128c8
hex6760c43609

444005103113 has 24 divisors (see below), whose sum is σ = 540235952256. Its totient is φ = 359743608000.

The previous prime is 444005103107. The next prime is 444005103127. The reversal of 444005103113 is 311301500444.

It is a happy number.

It is not a de Polignac number, because 444005103113 - 26 = 444005103049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (444005103193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1725713 + ... + 1966238.

It is an arithmetic number, because the mean of its divisors is an integer number (22509831344).

Almost surely, 2444005103113 is an apocalyptic number.

It is an amenable number.

444005103113 is a deficient number, since it is larger than the sum of its proper divisors (96230849143).

444005103113 is a wasteful number, since it uses less digits than its factorization.

444005103113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3692033 (or 3692004 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 444005103113 its reverse (311301500444), we get a palindrome (755306603557).

The spelling of 444005103113 in words is "four hundred forty-four billion, five million, one hundred three thousand, one hundred thirteen".

Divisors: 1 11 13 29 143 319 377 841 4147 9251 10933 120263 3691951 40611461 47995363 107066579 527948993 1177732369 1391865527 3104930791 15310520797 34154238701 40364100283 444005103113