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244942125120 = 263357211149353
BaseRepresentation
bin1110010000011110110…
…0000011100001000000
3212102020102211012011000
43210013230003201000
513003120141000440
6304305211452000
723460615465600
oct3440754034100
9772212735130
10244942125120
1194974497a70
123b57a757000
131a137248714
14bbd8ba6c00
156588c7e730
hex3907b03840

244942125120 has 1344 divisors, whose sum is σ = 1107045792000. Its totient is φ = 50412257280.

The previous prime is 244942125097. The next prime is 244942125157. The reversal of 244942125120 is 21521249442.

244942125120 is a `hidden beast` number, since 2 + 4 + 494 + 21 + 25 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

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, 693886864 + ... + 693887216.

Almost surely, 2244942125120 is an apocalyptic number.

244942125120 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 244942125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553522896000).

244942125120 is an abundant number, since it is smaller than the sum of its proper divisors (862103666880).

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

244942125120 is a wasteful number, since it uses less digits than its factorization.

244942125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 244942125120 in words is "two hundred forty-four billion, nine hundred forty-two million, one hundred twenty-five thousand, one hundred twenty".