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84412400040 = 23325234478889
BaseRepresentation
bin100111010011101011…
…1110000000110101000
322001212211211012221200
41032213113300012220
52340334033300130
6102440054404200
76045550363443
oct1164727600650
9261784735850
1084412400040
1132887665591
1214439660660
137c63319c07
14412aba065a
1522e0a56760
hex13a75f01a8

84412400040 has 48 divisors (see below), whose sum is σ = 274340301300. Its totient is φ = 22509973248.

The previous prime is 84412399999. The next prime is 84412400063. The reversal of 84412400040 is 4000421448.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 81762827364 + 2649572676 = 285942^2 + 51474^2 .

It is a junction number, because it is equal to n+sod(n) for n = 84412399977 and 84412400013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117239085 + ... + 117239804.

Almost surely, 284412400040 is an apocalyptic number.

It is an amenable number.

84412400040 is an abundant number, since it is smaller than the sum of its proper divisors (189927901260).

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

84412400040 is a wasteful number, since it uses less digits than its factorization.

84412400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234478906 (or 234478899 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 84412400040 its reverse (4000421448), we get a palindrome (88412821488).

The spelling of 84412400040 in words is "eighty-four billion, four hundred twelve million, four hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 234478889 468957778 703436667 937915556 1172394445 1406873334 1875831112 2110310001 2344788890 2813746668 3517183335 4220620002 4689577780 5627493336 7034366670 8441240004 9379155560 10551550005 14068733340 16882480008 21103100010 28137466680 42206200020 84412400040