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12043150160040 = 2333531715066363
BaseRepresentation
bin1010111101000000001110…
…1011111111000010101000
31120122022110211201100111000
42233100003223333002220
53034303332420110130
641340314035435000
72352042326223246
oct257200353770250
946568424640430
1012043150160040
11392352033479a
121426062755a60
136948832b036c
142d8c6a6bd796
1515d40b25d260
hexaf403aff0a8

12043150160040 has 256 divisors, whose sum is σ = 42022449561600. Its totient is φ = 3064135737600.

The previous prime is 12043150160021. The next prime is 12043150160051. The reversal of 12043150160040 is 4006105134021.

It is a happy number.

12043150160040 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 3 + 1 + 50 + 1 + 600 + 4 + 0 = 666.

12043150160040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120431501600402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12043150159986 and 12043150160013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156102 + ... + 4910261.

It is an arithmetic number, because the mean of its divisors is an integer number (164150193600).

Almost surely, 212043150160040 is an apocalyptic number.

12043150160040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12043150160040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21011224780800).

12043150160040 is an abundant number, since it is smaller than the sum of its proper divisors (29979299401560).

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

12043150160040 is a wasteful number, since it uses less digits than its factorization.

12043150160040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5066485 (or 5066475 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12043150160040 its reverse (4006105134021), we get a palindrome (16049255294061).

The spelling of 12043150160040 in words is "twelve trillion, forty-three billion, one hundred fifty million, one hundred sixty thousand, forty".