Search a number
-
+
12415142120436 = 22321131351368991
BaseRepresentation
bin1011010010101010000000…
…1000101100101111110100
31121221212122121012220001200
42310222200020230233310
53111402202340323221
642223234302252500
72420651536554156
oct264524010545764
947855577186050
1012415142120436
113a57261079420
121486179b87130
136c09871474b3
1430cc78bdcad6
15167e2dd53426
hexb4aa022cbf4

12415142120436 has 36 divisors (see below), whose sum is σ = 34235694939264. Its totient is φ = 3762164278800.

The previous prime is 12415142120431. The next prime is 12415142120443. The reversal of 12415142120436 is 63402124151421.

12415142120436 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 5 + 1 + 4 + 212 + 0 + 436 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12415142120436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12415142120431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15675684100 + ... + 15675684891.

Almost surely, 212415142120436 is an apocalyptic number.

It is an amenable number.

12415142120436 is an abundant number, since it is smaller than the sum of its proper divisors (21820552818828).

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

12415142120436 is a wasteful number, since it uses less digits than its factorization.

12415142120436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31351369012 (or 31351369007 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 12415142120436 its reverse (63402124151421), we get a palindrome (75817266271857).

The spelling of 12415142120436 in words is "twelve trillion, four hundred fifteen billion, one hundred forty-two million, one hundred twenty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 31351368991 62702737982 94054106973 125405475964 188108213946 282162320919 344865058901 376216427892 564324641838 689730117802 1034595176703 1128649283676 1379460235604 2069190353406 3103785530109 4138380706812 6207571060218 12415142120436