Search a number
-
+
33144121134 = 2331494119329
BaseRepresentation
bin11110110111100010…
…110010011100101110
310011112212111210202000
4132313202302130232
51020334343334014
623120505313130
72252225244525
oct366742623456
9104485453660
1033144121134
1113068aa0853
12650ba957a6
13318289a6c7
141865c494bc
15cdeb8a509
hex7b78b272e

33144121134 has 32 divisors (see below), whose sum is σ = 74147940000. Its totient is φ = 10973889792.

The previous prime is 33144121133. The next prime is 33144121147. The reversal of 33144121134 is 43112144133.

33144121134 is a `hidden beast` number, since 3 + 3 + 1 + 441 + 211 + 3 + 4 = 666.

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 = 33144121098 and 33144121107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33144121133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2051619 + ... + 2067710.

It is an arithmetic number, because the mean of its divisors is an integer number (2317123125).

Almost surely, 233144121134 is an apocalyptic number.

33144121134 is an abundant number, since it is smaller than the sum of its proper divisors (41003818866).

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

33144121134 is a wasteful number, since it uses less digits than its factorization.

33144121134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4119489 (or 4119483 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 33144121134 its reverse (43112144133), we get a palindrome (76256265267).

The spelling of 33144121134 in words is "thirty-three billion, one hundred forty-four million, one hundred twenty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 149 298 447 894 1341 2682 4023 8046 4119329 8238658 12357987 24715974 37073961 74147922 111221883 222443766 613780021 1227560042 1841340063 3682680126 5524020189 11048040378 16572060567 33144121134