Search a number
-
+
34036031142 = 233630296873
BaseRepresentation
bin11111101100101101…
…001001111010100110
310020212000210112021000
4133230231021322212
51024201210444032
623345210134130
72313305330331
oct375455117246
9106760715230
1034036031142
11134864a7a63
12671a721346
1332955c09c9
14190c49b618
15d43119e7c
hex7ecb49ea6

34036031142 has 16 divisors (see below), whose sum is σ = 75635624880. Its totient is φ = 11345343696.

The previous prime is 34036031137. The next prime is 34036031209. The reversal of 34036031142 is 24113063043.

34036031142 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 603 + 11 + 42 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315148383 + ... + 315148490.

It is an arithmetic number, because the mean of its divisors is an integer number (4727226555).

Almost surely, 234036031142 is an apocalyptic number.

34036031142 is an abundant number, since it is smaller than the sum of its proper divisors (41599593738).

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

34036031142 is a wasteful number, since it uses less digits than its factorization.

34036031142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630296884 (or 630296878 counting only the distinct ones).

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

Adding to 34036031142 its reverse (24113063043), we get a palindrome (58149094185).

It can be divided in two parts, 3403603 and 1142, that added together give a triangular number (3404745 = T2609).

The spelling of 34036031142 in words is "thirty-four billion, thirty-six million, thirty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 630296873 1260593746 1890890619 3781781238 5672671857 11345343714 17018015571 34036031142