Search a number
-
+
414112231032 = 23317254676293
BaseRepresentation
bin1100000011010110000…
…00110010111001111000
31110120220012012222121020
412001223000302321320
523241100212343112
6514123542142440
741630041612503
oct6015300627170
91416805188536
10414112231032
1114a695616455
1268311421a20
1330087283bc6
141608653213a
15ab8a7ea48c
hex606b032e78

414112231032 has 16 divisors (see below), whose sum is σ = 1035280577640. Its totient is φ = 138037410336.

The previous prime is 414112231021. The next prime is 414112231033. The reversal of 414112231032 is 230132211414.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 17254676293 = 414112231032 / (4 + 1 + 4 + 1 + 1 + 2 + 2 + 3 + 1 + 0 + 3 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 414112230993 and 414112231011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414112231033) 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 3 ways as a sum of consecutive naturals, for example, 8627338123 + ... + 8627338170.

Almost surely, 2414112231032 is an apocalyptic number.

It is an amenable number.

414112231032 is an abundant number, since it is smaller than the sum of its proper divisors (621168346608).

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

414112231032 is a wasteful number, since it uses less digits than its factorization.

414112231032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17254676302 (or 17254676298 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 414112231032 its reverse (230132211414), we get a palindrome (644244442446).

The spelling of 414112231032 in words is "four hundred fourteen billion, one hundred twelve million, two hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 17254676293 34509352586 51764028879 69018705172 103528057758 138037410344 207056115516 414112231032