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414112503 = 37171378467
BaseRepresentation
bin11000101011101…
…101101011110111
31001212020002120010
4120223231223313
51322003100003
6105031511303
713155620040
oct3053555367
91055202503
10414112503
111a2834942
12b6828533
1367a42cac
143cdd98c7
1526550003
hex18aedaf7

414112503 has 32 divisors (see below), whose sum is σ = 673104384. Its totient is φ = 221064192.

The previous prime is 414112487. The next prime is 414112511. The reversal of 414112503 is 305211414.

It is not a de Polignac number, because 414112503 - 24 = 414112487 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 414112503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414112513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44676 + ... + 53142.

It is an arithmetic number, because the mean of its divisors is an integer number (21034512).

Almost surely, 2414112503 is an apocalyptic number.

414112503 is a deficient number, since it is larger than the sum of its proper divisors (258991881).

414112503 is a wasteful number, since it uses less digits than its factorization.

414112503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8631.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 414112503 is about 20349.7543719820. The cubic root of 414112503 is about 745.3714964775.

Adding to 414112503 its reverse (305211414), we get a palindrome (719323917).

The spelling of 414112503 in words is "four hundred fourteen million, one hundred twelve thousand, five hundred three".

Divisors: 1 3 7 17 21 51 119 137 357 411 959 2329 2877 6987 8467 16303 25401 48909 59269 143939 177807 431817 1007573 1159979 3022719 3479937 8119853 19719643 24359559 59158929 138037501 414112503