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815142939040 = 2555094643369
BaseRepresentation
bin10111101110010100100…
…11100010100110100000
32212221000201020202011201
423313022103202212200
5101323403043022130
61422245502050544
7112615000442233
oct13671223424640
92787021222151
10815142939040
11294777a35a51
12111b91879a54
135bb382c1731
142b64b55741a
151630c93dbca
hexbdca4e29a0

815142939040 has 24 divisors (see below), whose sum is σ = 1925775193860. Its totient is φ = 326057175552.

The previous prime is 815142939019. The next prime is 815142939043. The reversal of 815142939040 is 40939241518.

It can be written as a sum of positive squares in 2 ways, for example, as 786009911184 + 29133027856 = 886572^2 + 170684^2 .

It is a super-2 number, since 2×8151429390402 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (815142939043) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2547321525 + ... + 2547321844.

Almost surely, 2815142939040 is an apocalyptic number.

815142939040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

815142939040 is an abundant number, since it is smaller than the sum of its proper divisors (1110632254820).

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

815142939040 is a wasteful number, since it uses less digits than its factorization.

815142939040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5094643384 (or 5094643376 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 815142939040 in words is "eight hundred fifteen billion, one hundred forty-two million, nine hundred thirty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 5094643369 10189286738 20378573476 25473216845 40757146952 50946433690 81514293904 101892867380 163028587808 203785734760 407571469520 815142939040