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45124137234 = 235112767339
BaseRepresentation
bin101010000001100110…
…111011000100010010
311022110210000200100000
4222001212323010102
51214403234342414
632421342510430
73155134560261
oct520146730422
9138423020300
1045124137234
1118156443200
1288b3b95416
134341856227
142280d445d8
1512917aeb09
hexa819bb112

45124137234 has 72 divisors (see below), whose sum is σ = 111445392240. Its totient is φ = 13673963160.

The previous prime is 45124137217. The next prime is 45124137239. The reversal of 45124137234 is 43273142154.

45124137234 is a `hidden beast` number, since 4 + 5 + 1 + 2 + 413 + 7 + 234 = 666.

It is a super-2 number, since 2×451241372342 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45124137239) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 324864 + ... + 442475.

It is an arithmetic number, because the mean of its divisors is an integer number (1547852670).

Almost surely, 245124137234 is an apocalyptic number.

45124137234 is an abundant number, since it is smaller than the sum of its proper divisors (66321255006).

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

45124137234 is a wasteful number, since it uses less digits than its factorization.

45124137234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767378 (or 767355 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

Adding to 45124137234 its reverse (43273142154), we get a palindrome (88397279388).

The spelling of 45124137234 in words is "forty-five billion, one hundred twenty-four million, one hundred thirty-seven thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 243 297 363 486 594 726 891 1089 1782 2178 2673 3267 5346 6534 9801 19602 29403 58806 767339 1534678 2302017 4604034 6906051 8440729 13812102 16881458 20718153 25322187 41436306 50644374 62154459 75966561 92848019 124308918 151933122 185696038 186463377 227899683 278544057 372926754 455799366 557088114 683699049 835632171 1367398098 1671264342 2051097147 2506896513 4102194294 5013793026 7520689539 15041379078 22562068617 45124137234