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2442660161040 = 2432511714343897
BaseRepresentation
bin100011100010111001111…
…001000010011000010000
322122111221012000221101100
4203202321321002120100
5310010032000123130
65110050444304400
7341322252535311
oct43427171023020
98574835027340
102442660161040
11861a20a87620
123354a1b42100
1314945a100248
1486322642608
1543814bc3c60
hex238b9e42610

2442660161040 has 240 divisors, whose sum is σ = 9075063194496. Its totient is φ = 583819622400.

The previous prime is 2442660161027. The next prime is 2442660161041. The reversal of 2442660161040 is 401610662442.

2442660161040 is a `hidden beast` number, since 2 + 4 + 4 + 2 + 6 + 601 + 6 + 1 + 0 + 40 = 666.

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 junction number, because it is equal to n+sod(n) for n = 2442660160986 and 2442660161004.

It is not an unprimeable number, because it can be changed into a prime (2442660161041) by changing a digit.

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, 1609629 + ... + 2734268.

Almost surely, 22442660161040 is an apocalyptic number.

2442660161040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442660161040 is an abundant number, since it is smaller than the sum of its proper divisors (6632403033456).

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

2442660161040 is a wasteful number, since it uses less digits than its factorization.

2442660161040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4343998 (or 4343989 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 2442660161040 in words is "two trillion, four hundred forty-two billion, six hundred sixty million, one hundred sixty-one thousand, forty".