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442137496281 = 313197211272737
BaseRepresentation
bin1100110111100010111…
…00101100101011011001
31120021020022200222011020
412123301130230223121
524220444144340111
6535040512553053
743641402465255
oct6336134545331
91507208628136
10442137496281
111605670a9a98
1271832b52789
13329024a97b0
14175845bb265
15b77ada2906
hex66f172cad9

442137496281 has 32 divisors (see below), whose sum is σ = 641113216128. Its totient is φ = 269419530240.

The previous prime is 442137496247. The next prime is 442137496301. The reversal of 442137496281 is 182694731244.

It is not a de Polignac number, because 442137496281 - 29 = 442137495769 is a prime.

It is a super-2 number, since 2×4421374962812 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (442137496081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1484745 + ... + 1757481.

It is an arithmetic number, because the mean of its divisors is an integer number (20034788004).

Almost surely, 2442137496281 is an apocalyptic number.

It is an amenable number.

442137496281 is a deficient number, since it is larger than the sum of its proper divisors (198975719847).

442137496281 is a wasteful number, since it uses less digits than its factorization.

442137496281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273161.

The product of its digits is 2322432, while the sum is 51.

The spelling of 442137496281 in words is "four hundred forty-two billion, one hundred thirty-seven million, four hundred ninety-six thousand, two hundred eighty-one".

Divisors: 1 3 13 39 197 211 591 633 2561 2743 7683 8229 41567 124701 272737 540371 818211 1621113 3545581 10636743 53729189 57547507 161187567 172642521 698479457 748117591 2095438371 2244352773 11336858879 34010576637 147379165427 442137496281