Search a number
-
+
45043145444352 = 2103111333999929
BaseRepresentation
bin10100011110111011011001…
…01011110000110000000000
312220111002020020210210201010
422033131230223300300000
521400441330213204402
6235444311345240520
712326155064036316
oct1217355453606000
9186432206723633
1045043145444352
1113396766370560
1250757b6333140
131c1972028ac53
14b1a1580960b6
15531a20148a6c
hex28f76caf0c00

45043145444352 has 176 divisors, whose sum is σ = 130981752547200. Its totient is φ = 13648278159360.

The previous prime is 45043145444351. The next prime is 45043145444417. The reversal of 45043145444352 is 25344454134054.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (45043145444351) 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, 450701524 + ... + 450801452.

Almost surely, 245043145444352 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 45043145444352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65490876273600).

45043145444352 is an abundant number, since it is smaller than the sum of its proper divisors (85938607102848).

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

45043145444352 is a wasteful number, since it uses less digits than its factorization.

45043145444352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113302 (or 113284 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 48.

The spelling of 45043145444352 in words is "forty-five trillion, forty-three billion, one hundred forty-five million, four hundred forty-four thousand, three hundred fifty-two".