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40181314848 = 253537897271
BaseRepresentation
bin100101011010111111…
…100011010100100000
310211201022020021201020
4211122333203110200
51124242404033343
630243053005440
72621505353343
oct453277432440
9124638207636
1040181314848
111604a339624
127954783880
133a347c6a5c
141d326c845a
1510a289eb83
hex95afe3520

40181314848 has 48 divisors (see below), whose sum is σ = 107466077376. Its totient is φ = 13141057280.

The previous prime is 40181314799. The next prime is 40181314861. The reversal of 40181314848 is 84841318104.

40181314848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×401813148482 (a number of 22 digits) contains 22 as substring.

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, 3943548 + ... + 3953723.

It is an arithmetic number, because the mean of its divisors is an integer number (2238876612).

Almost surely, 240181314848 is an apocalyptic number.

40181314848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40181314848 is an abundant number, since it is smaller than the sum of its proper divisors (67284762528).

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

40181314848 is a wasteful number, since it uses less digits than its factorization.

40181314848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7897337 (or 7897329 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The spelling of 40181314848 in words is "forty billion, one hundred eighty-one million, three hundred fourteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 7897271 15794542 23691813 31589084 47383626 63178168 94767252 126356336 189534504 252712672 379069008 418555363 758138016 837110726 1255666089 1674221452 2511332178 3348442904 5022664356 6696885808 10045328712 13393771616 20090657424 40181314848