Search a number
-
+
34380441187067 = 472971511106189
BaseRepresentation
bin1111101000100110100011…
…11110111111001011111011
311111201201221001121012001002
413310103101332333023323
514001242120420441232
6201042053500115215
710145622245212163
oct764232176771373
9144651831535032
1034380441187067
11aa55732832408
123a331b0235b0b
1316250a5700911
1486c04500d5a3
153e94aa50db62
hex1f44d1fbf2fb

34380441187067 has 24 divisors (see below), whose sum is σ = 35513464906080. Its totient is φ = 33279692981760.

The previous prime is 34380441187019. The next prime is 34380441187087. The reversal of 34380441187067 is 76078114408343.

It is not a de Polignac number, because 34380441187067 - 216 = 34380441121531 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34380441187087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323713409 + ... + 323819597.

It is an arithmetic number, because the mean of its divisors is an integer number (1479727704420).

Almost surely, 234380441187067 is an apocalyptic number.

34380441187067 is a deficient number, since it is larger than the sum of its proper divisors (1133023719013).

34380441187067 is a wasteful number, since it uses less digits than its factorization.

34380441187067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107891 (or 107844 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 56.

The spelling of 34380441187067 in words is "thirty-four trillion, three hundred eighty billion, four hundred forty-one million, one hundred eighty-seven thousand, sixty-seven".

Divisors: 1 47 97 1511 2209 4559 71017 106189 146567 214273 3337799 4990883 6888649 10300333 160451579 234571501 323766503 484115651 7541224213 15563803163 22753435597 354437538011 731498748661 34380441187067