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844310013448 = 23119594431971
BaseRepresentation
bin11000100100101001100…
…11000110011000001000
32222201022102020122102211
430102110303012120020
5102313121330412243
61443512021434504
7114666534462466
oct14222463063010
92881272218384
10844310013448
112a6084a9a720
1211777186ba34
1361805c46145
142cc17105836
1516e68389d9d
hexc494cc6608

844310013448 has 16 divisors (see below), whose sum is σ = 1726997754960. Its totient is φ = 383777278800.

The previous prime is 844310013427. The next prime is 844310013457.

844310013448 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 844310013448.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4797215898 + ... + 4797216073.

It is an arithmetic number, because the mean of its divisors is an integer number (107937359685).

Almost surely, 2844310013448 is an apocalyptic number.

844310013448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

844310013448 is an abundant number, since it is smaller than the sum of its proper divisors (882687741512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

844310013448 is a wasteful number, since it uses less digits than its factorization.

844310013448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9594431988 (or 9594431984 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

It can be divided in two parts, 8443100 and 13448, that added together give a palindrome (8456548).

The spelling of 844310013448 in words is "eight hundred forty-four billion, three hundred ten million, thirteen thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 22 44 88 9594431971 19188863942 38377727884 76755455768 105538751681 211077503362 422155006724 844310013448