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2319031444140 = 22325314128136073
BaseRepresentation
bin100001101111110001000…
…010111010001010101100
322012200211021210102002200
4201233301002322022230
5300443334022203030
64533203124021500
7326354522015325
oct41576102721254
98180737712080
102319031444140
1181454a87a814
1231553ab31890
1313a8b71bcb18
14803553d344c
15404cb387d60
hex21bf10ba2ac

2319031444140 has 288 divisors, whose sum is σ = 7465094687232. Its totient is φ = 581769216000.

The previous prime is 2319031444073. The next prime is 2319031444141. The reversal of 2319031444140 is 414441309132.

2319031444140 is a `hidden beast` number, since 23 + 190 + 3 + 1 + 4 + 441 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2319031444095 and 2319031444104.

It is not an unprimeable number, because it can be changed into a prime (2319031444141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64269144 + ... + 64305216.

It is an arithmetic number, because the mean of its divisors is an integer number (25920467664).

Almost surely, 22319031444140 is an apocalyptic number.

2319031444140 is a gapful number since it is divisible by the number (20) 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 2319031444140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3732547343616).

2319031444140 is an abundant number, since it is smaller than the sum of its proper divisors (5146063243092).

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

2319031444140 is a wasteful number, since it uses less digits than its factorization.

2319031444140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36441 (or 36436 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 2319031444140 in words is "two trillion, three hundred nineteen billion, thirty-one million, four hundred forty-four thousand, one hundred forty".