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123411413424 = 24313197774701
BaseRepresentation
bin111001011101111100…
…1001011100110110000
3102210112202100100221210
41302323321023212300
54010221310212144
6132405554520120
711626151464065
oct1627371134660
9383482310853
10123411413424
114837a586562
121bb02296040
13b839ba81b0
145d8a444c6c
153324714ab9
hex1cbbe4b9b0

123411413424 has 40 divisors (see below), whose sum is σ = 343336882672. Its totient is φ = 37972742400.

The previous prime is 123411413387. The next prime is 123411413429. The reversal of 123411413424 is 424314114321.

It is a happy number.

123411413424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 123411413391 and 123411413400.

It is not an unprimeable number, because it can be changed into a prime (123411413429) 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, 98886727 + ... + 98887974.

Almost surely, 2123411413424 is an apocalyptic number.

It is an amenable number.

123411413424 is an abundant number, since it is smaller than the sum of its proper divisors (219925469248).

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

123411413424 is a wasteful number, since it uses less digits than its factorization.

123411413424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197774725 (or 197774719 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 123411413424 its reverse (424314114321), we get a palindrome (547725527745).

The spelling of 123411413424 in words is "one hundred twenty-three billion, four hundred eleven million, four hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 197774701 395549402 593324103 791098804 1186648206 1582197608 2373296412 2571071113 3164395216 4746592824 5142142226 7713213339 9493185648 10284284452 15426426678 20568568904 30852853356 41137137808 61705706712 123411413424