Search a number
-
+
45136844340 = 22357597923057
BaseRepresentation
bin101010000010010111…
…011001011000110100
311022111122221021012120
4222002113121120310
51214420013004330
632422515115540
73155350563240
oct520227313064
9138448837176
1045136844340
1118162632245
1288b82a2bb0
134344385023
1422828d1420
15129296ec10
hexa825d9634

45136844340 has 192 divisors, whose sum is σ = 148751769600. Its totient is φ = 10013313024.

The previous prime is 45136844327. The next prime is 45136844351. The reversal of 45136844340 is 4344863154.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 45136844292 and 45136844301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1946092 + ... + 1969148.

It is an arithmetic number, because the mean of its divisors is an integer number (774748800).

Almost surely, 245136844340 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 45136844340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74375884800).

45136844340 is an abundant number, since it is smaller than the sum of its proper divisors (103614925260).

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

45136844340 is a wasteful number, since it uses less digits than its factorization.

45136844340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23214 (or 23212 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 45136844340 in words is "forty-five billion, one hundred thirty-six million, eight hundred forty-four thousand, three hundred forty".