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407434340048 = 2441621088933
BaseRepresentation
bin1011110110111001111…
…10101010011011010000
31102221122210120222022112
411323130332222123100
523133411142340143
6511101151524452
741302413514541
oct5733476523320
91387583528275
10407434340048
1114787907708a
1266b68b29728
132c56191a118
1415a116a24c8
15a8e940ae18
hex5edcfaa6d0

407434340048 has 20 divisors (see below), whose sum is σ = 808657792068. Its totient is φ = 198748458240.

The previous prime is 407434340009. The next prime is 407434340059. The reversal of 407434340048 is 840043434704.

It can be written as a sum of positive squares in 2 ways, for example, as 155040637504 + 252393702544 = 393752^2 + 502388^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 407434339987 and 407434340014.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 310543811 + ... + 310545122.

Almost surely, 2407434340048 is an apocalyptic number.

It is an amenable number.

407434340048 is a deficient number, since it is larger than the sum of its proper divisors (401223452020).

407434340048 is a wasteful number, since it uses less digits than its factorization.

407434340048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621088982 (or 621088976 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 41.

The spelling of 407434340048 in words is "four hundred seven billion, four hundred thirty-four million, three hundred forty thousand, forty-eight".

Divisors: 1 2 4 8 16 41 82 164 328 656 621088933 1242177866 2484355732 4968711464 9937422928 25464646253 50929292506 101858585012 203717170024 407434340048