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31641444414613 = 1113137395872687
BaseRepresentation
bin1110011000111000110010…
…00011011111010010010101
311011000220002122221122022101
413030130121003133102111
513121403134232231423
6151143513501402101
76444006326612335
oct714343103372225
9134026078848271
1031641444414613
11a09a074532670
1236703a7869331
131486a10747337
147b564ddd90c5
1539d0eeaae7ad
hex1cc7190df495

31641444414613 has 16 divisors (see below), whose sum is σ = 34790743342080. Its totient is φ = 28537730348400.

The previous prime is 31641444414571. The next prime is 31641444414649.

It is a happy number.

31641444414613 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31641444414613 is a prime.

It is a super-3 number, since 3×316414444146133 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31641444424613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2451556 + ... + 8324242.

It is an arithmetic number, because the mean of its divisors is an integer number (2174421458880).

Almost surely, 231641444414613 is an apocalyptic number.

It is an amenable number.

31641444414613 is a deficient number, since it is larger than the sum of its proper divisors (3149298927467).

31641444414613 is a wasteful number, since it uses less digits than its factorization.

31641444414613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5876568.

The product of its digits is 1327104, while the sum is 46.

It can be divided in two parts, 3164144 and 4414613, that added together give a palindrome (7578757).

The spelling of 31641444414613 in words is "thirty-one trillion, six hundred forty-one billion, four hundred forty-four million, four hundred fourteen thousand, six hundred thirteen".

Divisors: 1 11 131 1441 3739 41129 489809 5387899 5872687 64599557 769321997 8462541967 21957976693 241537743623 2876494946783 31641444414613