Search a number
-
+
12416241240 = 23325133677229
BaseRepresentation
bin10111001000001000…
…01100111001011000
31012001022100101222200
423210010030321120
5200412024204430
65412015050200
7616454211024
oct134404147130
935038311880
1012416241240
1152a170a8a7
1224a6210960
13122b471710
1485b00d384
154ca091460
hex2e410ce58

12416241240 has 192 divisors, whose sum is σ = 43581283200. Its totient is φ = 3047556096.

The previous prime is 12416241203. The next prime is 12416241247. The reversal of 12416241240 is 4214261421.

12416241240 is a `hidden beast` number, since 1 + 2 + 416 + 2 + 4 + 1 + 240 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12416241247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1713946 + ... + 1721174.

It is an arithmetic number, because the mean of its divisors is an integer number (226985850).

Almost surely, 212416241240 is an apocalyptic number.

12416241240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12416241240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21790641600).

12416241240 is an abundant number, since it is smaller than the sum of its proper divisors (31165041960).

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

12416241240 is a wasteful number, since it uses less digits than its factorization.

12416241240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7626 (or 7619 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 12416241240 in words is "twelve billion, four hundred sixteen million, two hundred forty-one thousand, two hundred forty".