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2240323183872 = 2834658116417
BaseRepresentation
bin100000100110011101101…
…010101110010100000000
321221011122222022111220000
4200212131222232110000
5243201140213340442
64433105032520000
7320600203601634
oct40463552562400
97834588274800
102240323183872
11794130039934
12302233850000
13133352890257
147a60a028dc4
153d4214c6d4c
hex2099daae500

2240323183872 has 180 divisors, whose sum is σ = 6681660418356. Its totient is φ = 746615439360.

The previous prime is 2240323183871. The next prime is 2240323183873. The reversal of 2240323183872 is 2783813230422.

2240323183872 is a `hidden beast` number, since 2 + 2 + 403 + 231 + 8 + 3 + 8 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2240323183871) and next prime (2240323183873).

It can be written as a sum of positive squares in 2 ways, for example, as 549116568576 + 1691206615296 = 741024^2 + 1300464^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240323183871) 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 19 ways as a sum of consecutive naturals, for example, 136455408 + ... + 136471824.

Almost surely, 22240323183872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240323183872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340830209178).

2240323183872 is an abundant number, since it is smaller than the sum of its proper divisors (4441337234484).

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

2240323183872 is an equidigital number, since it uses as much as digits as its factorization.

2240323183872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23026 (or 23003 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 2240323183872 in words is "two trillion, two hundred forty billion, three hundred twenty-three million, one hundred eighty-three thousand, eight hundred seventy-two".