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240982156960000 = 28541974
BaseRepresentation
bin110110110010110000000111…
…110111001110000100000000
31011121020200001212011010222121
4312302300013313032010000
5223041222424140210000
62212305401414014024
7101521246332653521
oct6662600767160400
91147220055133877
10240982156960000
116a869a60237265
122303bb58947314
13a46069b289731
1443718548d6848
151ccd773d20b1a
hexdb2c07dce100

240982156960000 has 225 divisors, whose sum is σ = 604153079419351. Its totient is φ = 95903558912000.

The previous prime is 240982156959997. The next prime is 240982156960003. The reversal of 240982156960000 is 69651289042.

The square root of 240982156960000 is 15523600.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (240982156959997) and next prime (240982156960003).

It can be written as a sum of positive squares in 12 ways, for example, as 69961046089984 + 171021110870016 = 8364272^2 + 13077504^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 240982156960000.

It is not an unprimeable number, because it can be changed into a prime (240982156960003) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 1223259679902 + ... + 1223259680098.

Almost surely, 2240982156960000 is an apocalyptic number.

240982156960000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

240982156960000 is the 15523600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240982156960000

240982156960000 is an abundant number, since it is smaller than the sum of its proper divisors (363170922459351).

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

240982156960000 is an frugal number, since it uses more digits than its factorization.

240982156960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 240982156960000 in words is "two hundred forty trillion, nine hundred eighty-two billion, one hundred fifty-six million, nine hundred sixty thousand".