Search a number
-
+
132401340124014 = 231317312131993009
BaseRepresentation
bin11110000110101100010110…
…110110001000101101101110
3122100210110000001002212021110
4132012230112312020231232
5114323230421032432024
61145332200322412450
736613452431033613
oct3606542666105556
9570713001085243
10132401340124014
1139207102893415
1212a24324b01126
1358b5514ca0980
14249a38abb850a
1510490e1938629
hex786b16d88b6e

132401340124014 has 64 divisors (see below), whose sum is σ = 302043703913280. Its totient is φ = 38330183024640.

The previous prime is 132401340124013. The next prime is 132401340124021. The reversal of 132401340124014 is 410421043104231.

It is a happy number.

It is a super-2 number, since 2×1324013401240142 (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 (132401340124013) 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, 11858059 + ... + 20134950.

It is an arithmetic number, because the mean of its divisors is an integer number (4719432873645).

Almost surely, 2132401340124014 is an apocalyptic number.

132401340124014 is an abundant number, since it is smaller than the sum of its proper divisors (169642363789266).

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

132401340124014 is a wasteful number, since it uses less digits than its factorization.

132401340124014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31996165.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 132401340124014 its reverse (410421043104231), we get a palindrome (542822383228245).

The spelling of 132401340124014 in words is "one hundred thirty-two trillion, four hundred one billion, three hundred forty million, one hundred twenty-four thousand, fourteen".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 1326 3121 6242 9363 18726 40573 53057 81146 106114 121719 159171 243438 318342 689741 1379482 2069223 4138446 31993009 63986018 95979027 191958054 415909117 543881153 831818234 1087762306 1247727351 1631643459 2495454702 3263286918 7070454989 14140909978 21211364967 42422729934 99850181089 199700362178 299550543267 599101086534 1298052354157 1697453078513 2596104708314 3394906157026 3894157062471 5092359235539 7788314124942 10184718471078 22066890020669 44133780041338 66200670062007 132401340124014