Search a number
-
+
463241410146120 = 23353860345084551
BaseRepresentation
bin110100101010100001100101…
…1101100100110111101001000
32020202012110001100200222101010
41221111003023230212331020
5441204221401444133440
64321122055502123520
7166401041662464144
oct15125031354467510
92222173040628333
10463241410146120
1112466a640392331
1243b57356b805a0
1316b636291bc538
14825700a91a224
153884e8b07c580
hex1a550cbb26f48

463241410146120 has 32 divisors (see below), whose sum is σ = 1389724230438720. Its totient is φ = 123531042705600.

The previous prime is 463241410146049. The next prime is 463241410146127. The reversal of 463241410146120 is 21641014142364.

It is not an unprimeable number, because it can be changed into a prime (463241410146127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1930172542156 + ... + 1930172542395.

It is an arithmetic number, because the mean of its divisors is an integer number (43428882201210).

Almost surely, 2463241410146120 is an apocalyptic number.

463241410146120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463241410146120 is an abundant number, since it is smaller than the sum of its proper divisors (926482820292600).

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

463241410146120 is a wasteful number, since it uses less digits than its factorization.

463241410146120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3860345084565 (or 3860345084561 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

Adding to 463241410146120 its reverse (21641014142364), we get a palindrome (484882424288484).

The spelling of 463241410146120 in words is "four hundred sixty-three trillion, two hundred forty-one billion, four hundred ten million, one hundred forty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3860345084551 7720690169102 11581035253653 15441380338204 19301725422755 23162070507306 30882760676408 38603450845510 46324141014612 57905176268265 77206901691020 92648282029224 115810352536530 154413803382040 231620705073060 463241410146120