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45228633040 = 2454969113777
BaseRepresentation
bin101010000111110101…
…100010101111010000
311022202001122121122001
4222013311202233100
51220112012224130
632435554323344
73160544015623
oct520765425720
9138661577561
1045228633040
11181aa425478
128922b89554
13435a3b2176
142290b85dba
15129aa516ca
hexa87d62bd0

45228633040 has 40 divisors (see below), whose sum is σ = 105178658760. Its totient is φ = 18087653376.

The previous prime is 45228632989. The next prime is 45228633067. The reversal of 45228633040 is 4033682254.

45228633040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2160762256 + 43067870784 = 46484^2 + 207528^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 340632 + ... + 454408.

It is an arithmetic number, because the mean of its divisors is an integer number (2629466469).

Almost surely, 245228633040 is an apocalyptic number.

45228633040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45228633040 is an abundant number, since it is smaller than the sum of its proper divisors (59950025720).

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

45228633040 is a wasteful number, since it uses less digits than its factorization.

45228633040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118759 (or 118753 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 45228633040 in words is "forty-five billion, two hundred twenty-eight million, six hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4969 9938 19876 24845 39752 49690 79504 99380 113777 198760 227554 397520 455108 568885 910216 1137770 1820432 2275540 4551080 9102160 565357913 1130715826 2261431652 2826789565 4522863304 5653579130 9045726608 11307158260 22614316520 45228633040