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1442554732096 = 262923121672
BaseRepresentation
bin10100111111011110111…
…101100101111001000000
312002220111010020011120121
4110333132331211321000
5142113323002411341
63022411150150024
7206135564623252
oct24773675457100
95086433204517
101442554732096
115068695a2375
121b36b07b2314
13a605603cb1a
144db6a1d3cd2
15277ce0844d1
hex14fdef65e40

1442554732096 has 189 divisors, whose sum is σ = 3081856100817. Its totient is φ = 669905456640.

The previous prime is 1442554732061. The next prime is 1442554732109. The reversal of 1442554732096 is 6902374552441.

The square root of 1442554732096 is 1201064.

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

It can be written as a sum of positive squares in only one way, i.e., 756440709696 + 686114022400 = 869736^2 + 828320^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8638052205 + ... + 8638052371.

Almost surely, 21442554732096 is an apocalyptic number.

1442554732096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1442554732096 is the 1201064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442554732096

1442554732096 is an abundant number, since it is smaller than the sum of its proper divisors (1639301368721).

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

1442554732096 is an frugal number, since it uses more digits than its factorization.

1442554732096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 52.

The spelling of 1442554732096 in words is "one trillion, four hundred forty-two billion, five hundred fifty-four million, seven hundred thirty-two thousand, ninety-six".