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2994400047744 = 27347233117807
BaseRepresentation
bin101011100100110000001…
…001101011001010000000
3101121021001212222020010000
4223210300021223022000
5343030012403011434
610211335225040000
7426224011306500
oct53446011531200
911537055866100
102994400047744
11a54a10843766
12404402626000
131894a85c13a1
14a4d032a1a00
1552d57ccdb99
hex2b93026b280

2994400047744 has 480 divisors, whose sum is σ = 10398091556160. Its totient is φ = 852910248960.

The previous prime is 2994400047731. The next prime is 2994400047781. The reversal of 2994400047744 is 4477400044992.

2994400047744 is a `hidden beast` number, since 2 + 9 + 94 + 40 + 0 + 0 + 477 + 44 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 168149689 + ... + 168167495.

It is an arithmetic number, because the mean of its divisors is an integer number (21662690742).

Almost surely, 22994400047744 is an apocalyptic number.

2994400047744 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 2994400047744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5199045778080).

2994400047744 is an abundant number, since it is smaller than the sum of its proper divisors (7403691508416).

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

2994400047744 is a wasteful number, since it uses less digits than its factorization.

2994400047744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18178 (or 18150 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 2994400047744 in words is "two trillion, nine hundred ninety-four billion, four hundred million, forty-seven thousand, seven hundred forty-four".