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1442485739520 = 2133457219467
BaseRepresentation
bin10100111111011010110…
…110011010000000000000
312002220022022101222120000
4110333122312122000000
5142113202322131040
63022400243320000
7206134066323600
oct24773266320000
95086268358500
101442485739520
1150683365a211
121b3691680000
13a6044964a07
144db60d94c00
15277c7ea7130
hex14fdad9a000

1442485739520 has 1680 divisors, whose sum is σ = 6345717824160. Its totient is φ = 311688953856.

The previous prime is 1442485739507. The next prime is 1442485739549. The reversal of 1442485739520 is 259375842441.

It is a happy number.

1442485739520 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 4 + 85 + 7 + 39 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×14424857395202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3088834327 + ... + 3088834793.

Almost surely, 21442485739520 is an apocalyptic number.

1442485739520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442485739520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172858912080).

1442485739520 is an abundant number, since it is smaller than the sum of its proper divisors (4903232084640).

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

1442485739520 is an equidigital number, since it uses as much as digits as its factorization.

1442485739520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 1442485739520 in words is "one trillion, four hundred forty-two billion, four hundred eighty-five million, seven hundred thirty-nine thousand, five hundred twenty".