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2316913974144 = 273572111131223
BaseRepresentation
bin100001101101110010110…
…101011001101110000000
322012111100201101210100000
4201231302311121232000
5300430014434133034
64532213043200000
7326251200560400
oct41556265315600
98174321353300
102316913974144
1181366359a210
12315049976000
1313a63a5c62b3
14801d40ba800
154040551e599
hex21b72d59b80

2316913974144 has 1152 divisors, whose sum is σ = 8858984359680. Its totient is φ = 595982499840.

The previous prime is 2316913974119. The next prime is 2316913974157. The reversal of 2316913974144 is 4414793196132.

It is a happy number.

2316913974144 is a `hidden beast` number, since 2 + 31 + 69 + 139 + 7 + 414 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1894450717 + ... + 1894451939.

It is an arithmetic number, because the mean of its divisors is an integer number (7690090590).

Almost surely, 22316913974144 is an apocalyptic number.

2316913974144 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 2316913974144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4429492179840).

2316913974144 is an abundant number, since it is smaller than the sum of its proper divisors (6542070385536).

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

2316913974144 is a wasteful number, since it uses less digits than its factorization.

2316913974144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1359 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 2316913974144 in words is "two trillion, three hundred sixteen billion, nine hundred thirteen million, nine hundred seventy-four thousand, one hundred forty-four".