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145040113224 = 233216791113241
BaseRepresentation
bin1000011100010100010…
…0000111111001001000
3111212101002120011022100
42013011010013321020
54334020232110344
6150344104553400
713323141422646
oct2070504077110
9455332504270
10145040113224
11565693a9876
1224139782860
13108a5b26b06
14703cb72196
153b8d44d569
hex21c5107e48

145040113224 has 96 divisors (see below), whose sum is σ = 395632823040. Its totient is φ = 48000825600.

The previous prime is 145040113223. The next prime is 145040113237. The reversal of 145040113224 is 422311040541.

145040113224 is a `hidden beast` number, since 1 + 4 + 504 + 0 + 1 + 132 + 24 = 666.

It is not an unprimeable number, because it can be changed into a prime (145040113223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10947244 + ... + 10960484.

It is an arithmetic number, because the mean of its divisors is an integer number (4121175240).

Almost surely, 2145040113224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145040113224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197816411520).

145040113224 is an abundant number, since it is smaller than the sum of its proper divisors (250592709816).

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

145040113224 is a wasteful number, since it uses less digits than its factorization.

145040113224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14331 (or 14324 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 145040113224 its reverse (422311040541), we get a palindrome (567351153765).

The spelling of 145040113224 in words is "one hundred forty-five billion, forty million, one hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 167 334 501 668 911 1002 1336 1503 1822 2004 2733 3006 3644 4008 5466 6012 7288 8199 10932 12024 13241 16398 21864 26482 32796 39723 52964 65592 79446 105928 119169 152137 158892 238338 304274 317784 456411 476676 608548 912822 953352 1217096 1369233 1825644 2211247 2738466 3651288 4422494 5476932 6633741 8844988 10953864 12062551 13267482 17689976 19901223 24125102 26534964 36187653 39802446 48250204 53069928 72375306 79604892 96500408 108562959 144750612 159209784 217125918 289501224 434251836 868503672 2014446017 4028892034 6043338051 8057784068 12086676102 16115568136 18130014153 24173352204 36260028306 48346704408 72520056612 145040113224