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2923995222144 = 2732196110121683
BaseRepresentation
bin101010100011001011101…
…100100101000010000000
3101100112100020212111220200
4222203023230211002000
5340401320234102034
610115133113205200
7421152220206333
oct52431354450200
911315306774820
102923995222144
11a28072090187
123b2834100800
13182968335b79
14a17449ca61a
15510d6da4a99
hex2a8cbb25080

2923995222144 has 384 divisors, whose sum is σ = 9091693540800. Its totient is φ = 899195904000.

The previous prime is 2923995222131. The next prime is 2923995222149. The reversal of 2923995222144 is 4412225993292.

2923995222144 is a `hidden beast` number, since 2 + 9 + 2 + 3 + 99 + 522 + 21 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (2923995222149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134841127 + ... + 134862809.

Almost surely, 22923995222144 is an apocalyptic number.

2923995222144 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 2923995222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4545846770400).

2923995222144 is an abundant number, since it is smaller than the sum of its proper divisors (6167698318656).

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

2923995222144 is a wasteful number, since it uses less digits than its factorization.

2923995222144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21884 (or 21869 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 2923995222144 in words is "two trillion, nine hundred twenty-three billion, nine hundred ninety-five million, two hundred twenty-two thousand, one hundred forty-four".