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1442744016736 = 251124117007073
BaseRepresentation
bin10100111111101010001…
…111101001111101100000
312002220222022101211021211
4110333222033221331200
5142114214432013421
63022442031155504
7206143353541441
oct24775217517540
95086868354254
101442744016736
11506956426760
121b3744075b94
13a6086314a79
144db873c72c8
15277e09c39e1
hex14fea3e9f60

1442744016736 has 48 divisors (see below), whose sum is σ = 3111478202448. Its totient is φ = 653071564800.

The previous prime is 1442744016709. The next prime is 1442744016757. The reversal of 1442744016736 is 6376104472441.

It is a self number, because there is not a number n which added to its sum of digits gives 1442744016736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8418705 + ... + 8588368.

It is an arithmetic number, because the mean of its divisors is an integer number (64822462551).

Almost surely, 21442744016736 is an apocalyptic number.

1442744016736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1442744016736 is an abundant number, since it is smaller than the sum of its proper divisors (1668734185712).

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

1442744016736 is a wasteful number, since it uses less digits than its factorization.

1442744016736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17007335 (or 17007327 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 49.

The spelling of 1442744016736 in words is "one trillion, four hundred forty-two billion, seven hundred forty-four million, sixteen thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 241 352 482 964 1928 2651 3856 5302 7712 10604 21208 42416 84832 17007073 34014146 68028292 136056584 187077803 272113168 374155606 544226336 748311212 1496622424 2993244848 4098704593 5986489696 8197409186 16394818372 32789636744 45085750523 65579273488 90171501046 131158546976 180343002092 360686004184 721372008368 1442744016736