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2412332142 = 231137987851
BaseRepresentation
bin1000111111001001…
…0100010001101110
320020010020011120220
42033302110101232
514420024112032
61035212352210
7113531325213
oct21762242156
96203204526
102412332142
111028775930
12573a75666
132c5a15b8c
1418c54db0a
15e1bb012c
hex8fc9446e

2412332142 has 32 divisors (see below), whose sum is σ = 5405526144. Its totient is φ = 711252000.

The previous prime is 2412332123. The next prime is 2412332149.

It is a happy number.

2412332142 is nontrivially palindromic in base 10.

2412332142 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412332149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491484 + ... + 496367.

It is an arithmetic number, because the mean of its divisors is an integer number (168922692).

Almost surely, 22412332142 is an apocalyptic number.

2412332142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2412332142 is an abundant number, since it is smaller than the sum of its proper divisors (2993194002).

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

2412332142 is a wasteful number, since it uses less digits than its factorization.

2412332142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987904.

The product of its digits is 2304, while the sum is 24.

The square root of 2412332142 is about 49115.4979817980. The cubic root of 2412332142 is about 1341.1551897075.

It can be divided in two parts, 24123 and 32142, that added together give a palindrome (56265).

The spelling of 2412332142 in words is "two billion, four hundred twelve million, three hundred thirty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442 987851 1975702 2963553 5927106 10866361 21732722 32599083 36550487 65198166 73100974 109651461 219302922 402055357 804110714 1206166071 2412332142