Search a number
-
+
132140042103412 = 227367131919994877
BaseRepresentation
bin11110000010111001000000…
…010001010010101001110100
3122022212110112201210002111201
4132002321000101102221310
5114304440301234302122
61145012144115142244
736555542266354360
oct3602710021225164
9568773481702451
10132140042103412
113911630597a062
12129a17608a4984
1358969a23305b5
14248b87daba2a0
1510423ebd12a27
hex782e40452a74

132140042103412 has 96 divisors (see below), whose sum is σ = 265388175360000. Its totient is φ = 56394522338688.

The previous prime is 132140042103371. The next prime is 132140042103413. The reversal of 132140042103412 is 214301240041231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132140042103413) 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 31 ways as a sum of consecutive naturals, for example, 27094531518 + ... + 27094536394.

It is an arithmetic number, because the mean of its divisors is an integer number (2764460160000).

Almost surely, 2132140042103412 is an apocalyptic number.

It is an amenable number.

132140042103412 is an abundant number, since it is smaller than the sum of its proper divisors (133248133256588).

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

132140042103412 is a wasteful number, since it uses less digits than its factorization.

132140042103412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8573 (or 8571 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 132140042103412 its reverse (214301240041231), we get a palindrome (346441282144643).

The spelling of 132140042103412 in words is "one hundred thirty-two trillion, one hundred forty billion, forty-two million, one hundred three thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 367 734 1319 1468 1999 2569 2638 3998 4877 5138 5276 7996 9233 9754 10276 13993 18466 19508 27986 34139 36932 55972 68278 136556 484073 733633 968146 1467266 1789859 1936292 2636681 2934532 3388511 3579718 5135431 5273362 6432763 6777022 7159436 9749123 10270862 10546724 12529013 12865526 13554044 18456767 19498246 20541724 25058026 25731052 36913534 38996492 45029341 50116052 68243861 73827068 90058682 136487722 180117364 272975444 967661927 1935323854 2360824021 3577928141 3870647708 4721648042 6773633489 7155856282 9443296084 12859093237 13547266978 14311712564 16525768147 25045496987 25718186474 27094533956 33051536294 50090993974 51436372948 66103072588 90013652659 100181987948 180027305318 360054610636 4719287217979 9438574435958 18877148871916 33035010525853 66070021051706 132140042103412