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2355859419144 = 233731117290023
BaseRepresentation
bin100010010010000100001…
…010011111000000001000
322100012212220010101022220
4202102010022133000020
5302044300002403034
65002133351214040
7332130251442000
oct42220412370010
98305786111286
102355859419144
118291292524a0
123206b8677320
13141206049bca
148204a5b9000
154143464a749
hex2248429f008

2355859419144 has 384 divisors, whose sum is σ = 7959561984000. Its totient is φ = 575910343680.

The previous prime is 2355859419091. The next prime is 2355859419149. The reversal of 2355859419144 is 4419149585532.

It is not an unprimeable number, because it can be changed into a prime (2355859419149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26124517 + ... + 26214539.

It is an arithmetic number, because the mean of its divisors is an integer number (20728026000).

Almost surely, 22355859419144 is an apocalyptic number.

2355859419144 is a gapful number since it is divisible by the number (24) 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 2355859419144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3979780992000).

2355859419144 is an abundant number, since it is smaller than the sum of its proper divisors (5603702564856).

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

2355859419144 is a wasteful number, since it uses less digits than its factorization.

2355859419144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90098 (or 90063 counting only the distinct ones).

The product of its digits is 31104000, while the sum is 60.

The spelling of 2355859419144 in words is "two trillion, three hundred fifty-five billion, eight hundred fifty-nine million, four hundred nineteen thousand, one hundred forty-four".