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104051641344 = 21037192331093
BaseRepresentation
bin110000011100111110…
…1100000110000000000
3100221120112112001022020
41200321331200300000
53201044210010334
6115444535441440
710342332233640
oct1407175406000
9327515461266
10104051641344
1140145491222
12181ba826280
139a73042661
1450711b8520
152a8ecb0e49
hex1839f60c00

104051641344 has 352 divisors, whose sum is σ = 335375239680. Its totient is φ = 28017819648.

The previous prime is 104051641307. The next prime is 104051641349. The reversal of 104051641344 is 443146150401.

104051641344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (104051641349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95197662 + ... + 95198754.

Almost surely, 2104051641344 is an apocalyptic number.

104051641344 is a gapful number since it is divisible by the number (14) 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 104051641344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167687619840).

104051641344 is an abundant number, since it is smaller than the sum of its proper divisors (231323598336).

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

104051641344 is a wasteful number, since it uses less digits than its factorization.

104051641344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 104051641344 its reverse (443146150401), we get a palindrome (547197791745).

The spelling of 104051641344 in words is "one hundred four billion, fifty-one million, six hundred forty-one thousand, three hundred forty-four".