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444061604142 = 232137127266269
BaseRepresentation
bin1100111011001000010…
…00100101100100101110
31120110012102020202221100
412131210020211210232
524233414232313032
6535555445143530
744040155233212
oct6354410454456
91513172222840
10444061604142
11161364220782
127208b3baba6
1332b4b001460
14176c7d5c942
15b83ec7397c
hex676422592e

444061604142 has 48 divisors (see below), whose sum is σ = 1036293017760. Its totient is φ = 136614655296.

The previous prime is 444061604113. The next prime is 444061604159. The reversal of 444061604142 is 241406160444.

444061604142 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 6 + 1 + 604 + 1 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 444061604097 and 444061604106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1534584 + ... + 1800852.

It is an arithmetic number, because the mean of its divisors is an integer number (21589437870).

Almost surely, 2444061604142 is an apocalyptic number.

444061604142 is an abundant number, since it is smaller than the sum of its proper divisors (592231413618).

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

444061604142 is a wasteful number, since it uses less digits than its factorization.

444061604142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273417 (or 273414 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 444061604142 its reverse (241406160444), we get a palindrome (685467764586).

The spelling of 444061604142 in words is "four hundred forty-four billion, sixty-one million, six hundred four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 7127 14254 21381 42762 64143 92651 128286 185302 266269 277953 532538 555906 798807 833859 1597614 1667718 2396421 3461497 4792842 6922994 10384491 20768982 31153473 62306946 1897699163 3795398326 5693097489 11386194978 17079292467 24670089119 34158584934 49340178238 74010267357 148020534714 222030802071 444061604142