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42114133332 = 2234129981893
BaseRepresentation
bin100111001110001100…
…101010110101010100
311000201000011122020000
4213032030222311110
51142222204231312
631202540011300
73020425140555
oct471614526524
9130630148200
1042114133332
111695136a777
1281b3b30b30
133c8207b42b
14207729632c
1511673e1adc
hex9ce32ad54

42114133332 has 30 divisors (see below), whose sum is σ = 110094664218. Its totient is φ = 14038044336.

The previous prime is 42114133291. The next prime is 42114133379. The reversal of 42114133332 is 23333141124.

It is a happy number.

42114133332 is a `hidden beast` number, since 4 + 211 + 413 + 3 + 3 + 32 = 666.

42114133332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 37910426436 + 4203706896 = 194706^2 + 64836^2 .

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

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 = 42114133296 and 42114133305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 64990623 + ... + 64991270.

Almost surely, 242114133332 is an apocalyptic number.

It is an amenable number.

42114133332 is an abundant number, since it is smaller than the sum of its proper divisors (67980530886).

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

42114133332 is a wasteful number, since it uses less digits than its factorization.

42114133332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129981909 (or 129981898 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 42114133332 its reverse (23333141124), we get a palindrome (65447274456).

The spelling of 42114133332 in words is "forty-two billion, one hundred fourteen million, one hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 129981893 259963786 389945679 519927572 779891358 1169837037 1559782716 2339674074 3509511111 4679348148 7019022222 10528533333 14038044444 21057066666 42114133332