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442740265120 = 2552767126657
BaseRepresentation
bin1100111000101010110…
…00000101000010100000
31120022210022220210120001
412130111120011002200
524223213001440440
6535220404225344
743662342105646
oct6342530050240
91508708823501
10442740265120
1116084637915a
127198099b254
133299a33474a
1417600685196
15b7b3c6ab9a
hex67156050a0

442740265120 has 24 divisors (see below), whose sum is σ = 1045973876724. Its totient is φ = 177096105984.

The previous prime is 442740265111. The next prime is 442740265139. The reversal of 442740265120 is 21562047244.

It can be written as a sum of positive squares in 2 ways, for example, as 433495827216 + 9244437904 = 658404^2 + 96148^2 .

It is a super-2 number, since 2×4427402651202 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 442740265120.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1383563169 + ... + 1383563488.

Almost surely, 2442740265120 is an apocalyptic number.

442740265120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442740265120 is an abundant number, since it is smaller than the sum of its proper divisors (603233611604).

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

442740265120 is a wasteful number, since it uses less digits than its factorization.

442740265120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767126672 (or 2767126664 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 37.

The spelling of 442740265120 in words is "four hundred forty-two billion, seven hundred forty million, two hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2767126657 5534253314 11068506628 13835633285 22137013256 27671266570 44274026512 55342533140 88548053024 110685066280 221370132560 442740265120