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434421014240 = 2552715131339
BaseRepresentation
bin1100101001001011000…
…00101001111011100000
31112112022112210001210002
412110211200221323200
524104143234423430
6531323101555132
743246233460133
oct6244540517340
91475275701702
10434421014240
11158267378904
127023a875aa8
1331c729133a5
141705183621a
15b47870c845
hex6525829ee0

434421014240 has 24 divisors (see below), whose sum is σ = 1026319646520. Its totient is φ = 173768405632.

The previous prime is 434421014239. The next prime is 434421014297. The reversal of 434421014240 is 42410124434.

It is a super-2 number, since 2×4344210142402 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1357565510 + ... + 1357565829.

It is an arithmetic number, because the mean of its divisors is an integer number (42763318605).

Almost surely, 2434421014240 is an apocalyptic number.

434421014240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434421014240 is an abundant number, since it is smaller than the sum of its proper divisors (591898632280).

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

434421014240 is a wasteful number, since it uses less digits than its factorization.

434421014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715131354 (or 2715131346 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 434421014240 its reverse (42410124434), we get a palindrome (476831138674).

The spelling of 434421014240 in words is "four hundred thirty-four billion, four hundred twenty-one million, fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2715131339 5430262678 10860525356 13575656695 21721050712 27151313390 43442101424 54302626780 86884202848 108605253560 217210507120 434421014240