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414439933993 = 4133729994929
BaseRepresentation
bin1100000011111101000…
…10111000100000101001
31110121202000212000112221
412001332202320200221
523242233110341433
6514220250034041
741641131212641
oct6017642704051
91417660760487
10414439933993
1114a8435a1548
12683a3118921
133010a131297
14160b7c77521
15aba947c72d
hex607e8b8829

414439933993 has 8 divisors (see below), whose sum is σ = 425808026280. Its totient is φ = 403131832320.

The previous prime is 414439933991. The next prime is 414439934021. The reversal of 414439933993 is 399339934414.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4997358864 + 409442575129 = 70692^2 + 639877^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414439933993 - 21 = 414439933991 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414439933991) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14983648 + ... + 15011281.

It is an arithmetic number, because the mean of its divisors is an integer number (53226003285).

Almost surely, 2414439933993 is an apocalyptic number.

It is an amenable number.

414439933993 is a deficient number, since it is larger than the sum of its proper divisors (11368092287).

414439933993 is a wasteful number, since it uses less digits than its factorization.

414439933993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29995307.

The product of its digits is 34012224, while the sum is 61.

The spelling of 414439933993 in words is "four hundred fourteen billion, four hundred thirty-nine million, nine hundred thirty-three thousand, nine hundred ninety-three".

Divisors: 1 41 337 13817 29994929 1229792089 10108291073 414439933993