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844424930131944 = 2337317315163123311
BaseRepresentation
bin1011111111111111111111111…
…1111111111111111111101000
311002201212020100021011020101020
42333333333333333333333220
51341140024224103210234
612151535242455452440
7342602454650323230
oct27777777777777750
94081766307136336
10844424930131944
11225072668a46457
127a85b260687120
132a323c106aca85
1410c7455582acc0
15679566c2ed549
hex2ffffffffffe8

844424930131944 has 512 divisors, whose sum is σ = 2545441591787520. Its totient is φ = 228385785600000.

The previous prime is 844424930131921. The next prime is 844424930131961. The reversal of 844424930131944 is 449131039424448.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36224300049 + ... + 36224323359.

It is an arithmetic number, because the mean of its divisors is an integer number (4971565608960).

Almost surely, 2844424930131944 is an apocalyptic number.

844424930131944 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 844424930131944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272720795893760).

844424930131944 is an abundant number, since it is smaller than the sum of its proper divisors (1701016661655576).

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

844424930131944 is a wasteful number, since it uses less digits than its factorization.

844424930131944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24213 (or 24209 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 60.

The spelling of 844424930131944 in words is "eight hundred forty-four trillion, four hundred twenty-four billion, nine hundred thirty million, one hundred thirty-one thousand, nine hundred forty-four".