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424004250311514 = 232177913132400621
BaseRepresentation
bin110000001101000010010111…
…0101110010001101101011010
32001121021102002020010112000200
41200122010232232101231122
5421033341201034432024
64101440510310043030
7155211203406014205
oct14032045656215532
92047242066115020
10424004250311514
11113112213595244
123b67aa45649476
1315278577070032
14769bcb54b693c
1534044cc18b2c9
hex181a12eb91b5a

424004250311514 has 24 divisors (see below), whose sum is σ = 918681046237812. Its totient is φ = 141333954632640.

The previous prime is 424004250311449. The next prime is 424004250311557. The reversal of 424004250311514 is 415113052400424.

424004250311514 is a `hidden beast` number, since 4 + 2 + 40 + 0 + 4 + 250 + 311 + 51 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 396526891958289 + 27477358353225 = 19912983^2 + 5241885^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62997877 + ... + 69402744.

Almost surely, 2424004250311514 is an apocalyptic number.

424004250311514 is an abundant number, since it is smaller than the sum of its proper divisors (494676795926298).

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

424004250311514 is a wasteful number, since it uses less digits than its factorization.

424004250311514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132578542 (or 132578539 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 424004250311514 in words is "four hundred twenty-four trillion, four billion, two hundred fifty million, three hundred eleven thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 177913 355826 533739 1067478 1601217 3202434 132400621 264801242 397201863 794403726 1191605589 2383211178 23555791683973 47111583367946 70667375051919 141334750103838 212002125155757 424004250311514