Search a number
-
+
132400223033214 = 23421631115172169
BaseRepresentation
bin11110000110101011010100…
…010000110001011101111110
3122100210100010012002202210010
4132012223110100301131332
5114323221124044030324
61145331453415324050
736613412644646253
oct3606532420613576
9570710105082703
10132400223033214
113920668a265584
1212a24072980626
1358b5397717ab6
14249a2c26ab42a
151049078828829
hex786ad443177e

132400223033214 has 64 divisors (see below), whose sum is σ = 266084734648320. Its totient is φ = 43920001440000.

The previous prime is 132400223033153. The next prime is 132400223033219. The reversal of 132400223033214 is 412330322004231.

It is a happy number.

It is a super-2 number, since 2×1324002230332142 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132400223033219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1834549722 + ... + 1834621890.

It is an arithmetic number, because the mean of its divisors is an integer number (4157573978880).

Almost surely, 2132400223033214 is an apocalyptic number.

132400223033214 is an abundant number, since it is smaller than the sum of its proper divisors (133684511615106).

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

132400223033214 is a wasteful number, since it uses less digits than its factorization.

132400223033214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74377.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 132400223033214 its reverse (412330322004231), we get a palindrome (544730545037445).

The spelling of 132400223033214 in words is "one hundred thirty-two trillion, four hundred billion, two hundred twenty-three million, thirty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 421 631 842 1151 1262 1263 1893 2302 2526 3453 3786 6906 72169 144338 216507 265651 433014 484571 531302 726281 796953 969142 1452562 1453713 1593906 2178843 2907426 4357686 30383149 45538639 60766298 83066519 91077278 91149447 136615917 166133038 182298894 249199557 273231834 305764301 498399114 611528602 917292903 1834585806 19171767019 34971004499 38343534038 52414973489 57515301057 69942008998 104829946978 104913013497 115030602114 157244920467 209826026994 314489840934 22066703838869 44133407677738 66200111516607 132400223033214