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4012146432 = 28347131211
BaseRepresentation
bin1110111100100100…
…0111111100000000
3101100121120011020000
43233021013330000
531204102141212
61502042120000
7201265452630
oct35711077400
911317504200
104012146432
11177982aaa8
1293b7b0000
134bc2b5258
142a0bd66c0
151873741dc
hexef247f00

4012146432 has 360 divisors, whose sum is σ = 13842229632. Its totient is φ = 1132185600.

The previous prime is 4012146431. The next prime is 4012146521. The reversal of 4012146432 is 2346412104.

It is a happy number.

4012146432 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 14 + 643 + 2 = 666.

4012146432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4012146396 and 4012146405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4012146431) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19014807 + ... + 19015017.

Almost surely, 24012146432 is an apocalyptic number.

4012146432 is a gapful number since it is divisible by the number (42) 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 4012146432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6921114816).

4012146432 is an abundant number, since it is smaller than the sum of its proper divisors (9830083200).

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

4012146432 is a wasteful number, since it uses less digits than its factorization.

4012146432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4012146432 is about 63341.5063919386. The cubic root of 4012146432 is about 1589.0061999058.

Adding to 4012146432 its reverse (2346412104), we get a palindrome (6358558536).

The spelling of 4012146432 in words is "four billion, twelve million, one hundred forty-six thousand, four hundred thirty-two".