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440273387961 = 32112201072
BaseRepresentation
bin1100110100000100101…
…01101100000110111001
31120002102102001110021100
412122002111230012321
524203134441403321
6534131522402013
743544246023161
oct6320225540671
91502372043240
10440273387961
1115a79a938900
12713b2800309
1332696231814
1417448bb75a1
15b6bc3d4326
hex668256c1b9

440273387961 has 27 divisors (see below), whose sum is σ = 699054682053. Its totient is φ = 266819085720.

The previous prime is 440273387959. The next prime is 440273387987. The reversal of 440273387961 is 169783372044.

The square root of 440273387961 is 663531.

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

440273387961 is a `hidden beast` number, since 4 + 402 + 73 + 3 + 87 + 96 + 1 = 666.

It is not a de Polignac number, because 440273387961 - 21 = 440273387959 is a prime.

It is a super-2 number, since 2×4402733879612 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 440273387898 and 440273387907.

It is not an unprimeable number, because it can be changed into a prime (440273387921) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21886470 + ... + 21906576.

Almost surely, 2440273387961 is an apocalyptic number.

440273387961 is the 663531-st square number.

440273387961 is the 331766-th centered octagonal number.

It is an amenable number.

440273387961 is a deficient number, since it is larger than the sum of its proper divisors (258781294092).

440273387961 is an frugal number, since it uses more digits than its factorization.

440273387961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40242 (or 20121 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 440273387961 in words is "four hundred forty billion, two hundred seventy-three million, three hundred eighty-seven thousand, nine hundred sixty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 20107 60321 180963 221177 663531 1990593 2432947 7298841 21896523 404291449 1212874347 3638623041 4447205939 13341617817 40024853451 48919265329 146757795987 440273387961