Search a number
-
+
34136218083 = 31119379143651
BaseRepresentation
bin11111110010101011…
…010101100111100011
310021010000022112220110
4133302223111213203
51024402332434313
623403145342403
72315633031462
oct376253254743
9107100275813
1034136218083
1113528006990
126748197a03
1332b029b616
14191b8da9d9
15d4bd09ec3
hex7f2ad59e3

34136218083 has 32 divisors (see below), whose sum is σ = 52404249600. Its totient is φ = 19547892000.

The previous prime is 34136218021. The next prime is 34136218087. The reversal of 34136218083 is 38081263143.

It is not a de Polignac number, because 34136218083 - 29 = 34136217571 is a prime.

It is a super-3 number, since 3×341362180833 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (34136218087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165808 + ... + 309458.

It is an arithmetic number, because the mean of its divisors is an integer number (1637632800).

Almost surely, 234136218083 is an apocalyptic number.

34136218083 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34136218083 is a deficient number, since it is larger than the sum of its proper divisors (18268031517).

34136218083 is a wasteful number, since it uses less digits than its factorization.

34136218083 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144063.

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 34136218083 in words is "thirty-four billion, one hundred thirty-six million, two hundred eighteen thousand, eighty-three".

Divisors: 1 3 11 19 33 57 209 379 627 1137 4169 7201 12507 21603 79211 143651 237633 430953 1580161 2729369 4740483 8188107 30023059 54443729 90069177 163331187 598881019 1034430851 1796643057 3103292553 11378739361 34136218083