Search a number
-
+
4200113110024 = 231327334238189
BaseRepresentation
bin111101000111101010001…
…111111111110000001000
3112212112020002210222012201
4331013222033333300020
51022303312424010044
612533301052245544
7612306501244006
oct75075217776010
915775202728181
104200113110024
11137a292399027
1257a0154708b4
132460b869b700
14107402465a76
15743c43237d4
hex3d1ea3ffc08

4200113110024 has 48 divisors (see below), whose sum is σ = 8539232357700. Its totient is φ = 1935868656384.

The previous prime is 4200113110013. The next prime is 4200113110043.

4200113110024 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 740773505124 + 3459339604900 = 860682^2 + 1859930^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4200113109983 and 4200113110010.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1128079 + ... + 3110110.

Almost surely, 24200113110024 is an apocalyptic number.

It is an amenable number.

4200113110024 is an abundant number, since it is smaller than the sum of its proper divisors (4339119247676).

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

4200113110024 is a wasteful number, since it uses less digits than its factorization.

4200113110024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4238954 (or 4238937 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Multiplying 4200113110024 by its product of nonzero digits (192), we get a palindrome (806421717124608).

The spelling of 4200113110024 in words is "four trillion, two hundred billion, one hundred thirteen million, one hundred ten thousand, twenty-four".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 733 1352 1466 2932 5864 9529 19058 38116 76232 123877 247754 495508 991016 4238189 8476378 16952756 33905512 55096457 110192914 220385828 440771656 716253941 1432507882 2865015764 3106592537 5730031528 6213185074 12426370148 24852740296 40385702981 80771405962 161542811924 323085623848 525014138753 1050028277506 2100056555012 4200113110024