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244168412040 = 2335573588601
BaseRepresentation
bin1110001101100110010…
…0100100101110001000
3212100020111221111100000
43203121210210232020
513000024103141130
6304100332243000
723432502154410
oct3433144445610
9770214844300
10244168412040
1194607780973
123b3a3610460
131a042b6a727
14bb64121640
156540d9b260
hex38d9924b88

244168412040 has 192 divisors, whose sum is σ = 940500812160. Its totient is φ = 55809907200.

The previous prime is 244168412011. The next prime is 244168412053. The reversal of 244168412040 is 40214861442.

244168412040 is a `hidden beast` number, since 2 + 4 + 416 + 84 + 120 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 244168411986 and 244168412004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1726261 + ... + 1862340.

It is an arithmetic number, because the mean of its divisors is an integer number (4898441730).

Almost surely, 2244168412040 is an apocalyptic number.

244168412040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244168412040 is an abundant number, since it is smaller than the sum of its proper divisors (696332400120).

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

244168412040 is a wasteful number, since it uses less digits than its factorization.

244168412040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3588634 (or 3588618 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 244168412040 in words is "two hundred forty-four billion, one hundred sixty-eight million, four hundred twelve thousand, forty".