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3042700664400 = 243352428965687
BaseRepresentation
bin101100010001101111000…
…101111001111001010000
3101202212202001002210001000
4230101233011321321100
5344322422332230100
610245444122542000
7432553646626035
oct54215705717120
911685661083030
103042700664400
11a73447224971
12411842367900
13190c0526c427
14a73a602b38c
1554233392900
hex2c46f179e50

3042700664400 has 240 divisors, whose sum is σ = 10832450428800. Its totient is φ = 811185315840.

The previous prime is 3042700664363. The next prime is 3042700664401. The reversal of 3042700664400 is 44660072403.

3042700664400 is a `hidden beast` number, since 3 + 0 + 4 + 2 + 7 + 0 + 0 + 6 + 644 + 0 + 0 = 666.

3042700664400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3042700664401) 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, 46288357 + ... + 46354043.

It is an arithmetic number, because the mean of its divisors is an integer number (45135210120).

Almost surely, 23042700664400 is an apocalyptic number.

3042700664400 is a gapful number since it is divisible by the number (30) 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 3042700664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416225214400).

3042700664400 is an abundant number, since it is smaller than the sum of its proper divisors (7789749764400).

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

3042700664400 is a wasteful number, since it uses less digits than its factorization.

3042700664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70003 (or 69986 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 3042700664400 in words is "three trillion, forty-two billion, seven hundred million, six hundred sixty-four thousand, four hundred".