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244157052392640 = 2635519716133797
BaseRepresentation
bin110111100000111100111110…
…011000001001010011000000
31012000111012000210000221200000
4313200330332120021103000
5224000232120403031030
62223140111301400000
7102266523236606262
oct6740747630112300
91160435023027600
10244157052392640
1170883473a07102
1223473332a09000
13a630bb001c8ca
14444139b6a7b32
151d36142a5d860
hexde0f3e6094c0

244157052392640 has 1344 divisors, whose sum is σ = 931412749962240. Its totient is φ = 60697828638720.

The previous prime is 244157052392573. The next prime is 244157052392651. The reversal of 244157052392640 is 46293250751442.

244157052392640 is a `hidden beast` number, since 2 + 4 + 4 + 1 + 5 + 70 + 523 + 9 + 2 + 6 + 40 = 666.

It is a super-2 number, since 2×2441570523926402 (a number of 30 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 64302619222 + ... + 64302623018.

It is an arithmetic number, because the mean of its divisors is an integer number (693015438960).

Almost surely, 2244157052392640 is an apocalyptic number.

244157052392640 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 244157052392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465706374981120).

244157052392640 is an abundant number, since it is smaller than the sum of its proper divisors (687255697569600).

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

244157052392640 is a wasteful number, since it uses less digits than its factorization.

244157052392640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4532 (or 4510 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 244157052392640 in words is "two hundred forty-four trillion, one hundred fifty-seven billion, fifty-two million, three hundred ninety-two thousand, six hundred forty".