Search a number
-
+
4123451136 = 28372197379
BaseRepresentation
bin1111010111000110…
…1101111100000000
3101122101000000120110
43311301231330000
531421100414021
61521055511320
7204116520300
oct36561557400
911571000513
104123451136
111826642962
12970b28540
1350938641c
142b18cb600
1519200d476
hexf5c6df00

4123451136 has 432 divisors, whose sum is σ = 13794547200. Its totient is φ = 1086898176.

The previous prime is 4123451131. The next prime is 4123451147. The reversal of 4123451136 is 6311543214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4123451131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52195545 + ... + 52195623.

Almost surely, 24123451136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4123451136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6897273600).

4123451136 is an abundant number, since it is smaller than the sum of its proper divisors (9671096064).

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

4123451136 is a wasteful number, since it uses less digits than its factorization.

4123451136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 183 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 4123451136 is about 64214.1038713459. The cubic root of 4123451136 is about 1603.5664112046.

The spelling of 4123451136 in words is "four billion, one hundred twenty-three million, four hundred fifty-one thousand, one hundred thirty-six".