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442414504144 = 241031072508929
BaseRepresentation
bin1100111000000011111…
…01011001100011010000
31120021221121221102111201
412130001331121203100
524222031103113034
6535124210120544
743651305144334
oct6340175314320
91507847842451
10442414504144
111606994aa108
12718ab880154
13329479b7282
14175ad2c77c4
15b79536e014
hex6701f598d0

442414504144 has 40 divisors (see below), whose sum is σ = 873589354560. Its totient is φ = 217012236288.

The previous prime is 442414504123. The next prime is 442414504199. The reversal of 442414504144 is 441405414244.

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, 1078129 + ... + 1430800.

It is an arithmetic number, because the mean of its divisors is an integer number (21839733864).

Almost surely, 2442414504144 is an apocalyptic number.

It is an amenable number.

442414504144 is a deficient number, since it is larger than the sum of its proper divisors (431174850416).

442414504144 is a wasteful number, since it uses less digits than its factorization.

442414504144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509147 (or 2509141 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 37.

Adding to 442414504144 its reverse (441405414244), we get a palindrome (883819918388).

The spelling of 442414504144 in words is "four hundred forty-two billion, four hundred fourteen million, five hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 103 107 206 214 412 428 824 856 1648 1712 11021 22042 44084 88168 176336 2508929 5017858 10035716 20071432 40142864 258419687 268455403 516839374 536910806 1033678748 1073821612 2067357496 2147643224 4134714992 4295286448 27650906509 55301813018 110603626036 221207252072 442414504144