Search a number
-
+
45344515040 = 2551125763929
BaseRepresentation
bin101010001110101111…
…100110001111100000
311100001010201000211222
4222032233212033200
51220331143440130
632455254154212
73163452006206
oct521657461740
9140033630758
1045344515040
1118259884320
128955952968
1343783c68b6
1422a230d076
1512a5ce1ce5
hexa8ebe63e0

45344515040 has 48 divisors (see below), whose sum is σ = 116865186480. Its totient is φ = 16488913920.

The previous prime is 45344515039. The next prime is 45344515057. The reversal of 45344515040 is 4051544354.

It is a super-2 number, since 2×453445150402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12880205 + ... + 12883724.

It is an arithmetic number, because the mean of its divisors is an integer number (2434691385).

Almost surely, 245344515040 is an apocalyptic number.

45344515040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45344515040 is an abundant number, since it is smaller than the sum of its proper divisors (71520671440).

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

45344515040 is a wasteful number, since it uses less digits than its factorization.

45344515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25763955 (or 25763947 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

The spelling of 45344515040 in words is "forty-five billion, three hundred forty-four million, five hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 25763929 51527858 103055716 128819645 206111432 257639290 283403219 412222864 515278580 566806438 824445728 1030557160 1133612876 1417016095 2061114320 2267225752 2834032190 4122228640 4534451504 5668064380 9068903008 11336128760 22672257520 45344515040