Search a number
-
+
34042121145 = 3257123334567
BaseRepresentation
bin11111101101000100…
…011000101110111001
310020212110020221011200
4133231010120232321
51024204240334040
623345544444413
72313411153414
oct375504305671
9106773227150
1034042121145
111348998751a
126720779709
133296943966
14190d204b7b
15d4391e630
hex7ed118bb9

34042121145 has 48 divisors (see below), whose sum is σ = 59876174592. Its totient is φ = 17888492160.

The previous prime is 34042121143. The next prime is 34042121167. The reversal of 34042121145 is 54112124043.

34042121145 is a `hidden beast` number, since 3 + 404 + 2 + 1 + 211 + 45 = 666.

It is not a de Polignac number, because 34042121145 - 21 = 34042121143 is a prime.

It is a super-2 number, since 2×340421211452 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34042121143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7451652 + ... + 7456218.

It is an arithmetic number, because the mean of its divisors is an integer number (1247420304).

Almost surely, 234042121145 is an apocalyptic number.

It is an amenable number.

34042121145 is a deficient number, since it is larger than the sum of its proper divisors (25834053447).

34042121145 is a wasteful number, since it uses less digits than its factorization.

34042121145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6982 (or 6979 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 34042121145 its reverse (54112124043), we get a palindrome (88154245188).

The spelling of 34042121145 in words is "thirty-four billion, forty-two million, one hundred twenty-one thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 71 213 355 639 1065 2333 3195 4567 6999 11665 13701 20997 22835 34995 41103 68505 104985 165643 205515 324257 496929 828215 972771 1490787 1621285 2484645 2918313 4863855 7453935 10654811 14591565 31964433 53274055 95893299 159822165 479466495 756491581 2269474743 3782457905 6808424229 11347373715 34042121145