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144513130545 = 32571737729367
BaseRepresentation
bin1000011010010110100…
…1110110000000110001
3111211000100221122222100
42012211221312000301
54331430330134140
6150215521531013
713304112225210
oct2064551660061
9454010848870
10144513130545
11563189929a3
12240111a3a69
13108208b5244
146dccb95077
153b5c055530
hex21a5a76031

144513130545 has 96 divisors (see below), whose sum is σ = 311305932288. Its totient is φ = 60496533504.

The previous prime is 144513130543. The next prime is 144513130589. The reversal of 144513130545 is 545031315441.

144513130545 is a `hidden beast` number, since 1 + 4 + 4 + 51 + 31 + 30 + 545 = 666.

It is not a de Polignac number, because 144513130545 - 21 = 144513130543 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144513130543) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 166549 + ... + 562818.

It is an arithmetic number, because the mean of its divisors is an integer number (3242770128).

Almost surely, 2144513130545 is an apocalyptic number.

144513130545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144513130545 is an abundant number, since it is smaller than the sum of its proper divisors (166792801743).

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

144513130545 is a wasteful number, since it uses less digits than its factorization.

144513130545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729439 (or 729436 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 144513130545 its reverse (545031315441), we get a palindrome (689544445986).

The spelling of 144513130545 in words is "one hundred forty-four billion, five hundred thirteen million, one hundred thirty thousand, five hundred forty-five".

Divisors: 1 3 5 7 9 15 17 21 35 37 45 51 63 85 105 111 119 153 185 255 259 315 333 357 555 595 629 765 777 1071 1295 1665 1785 1887 2331 3145 3885 4403 5355 5661 9435 11655 13209 22015 28305 39627 66045 198135 729367 2188101 3646835 5105569 6564303 10940505 12399239 15316707 25527845 26986579 32821515 37197717 45950121 61996195 76583535 80959737 86794673 111593151 134932895 185988585 188906053 229750605 242879211 260384019 404798685 433973365 458771843 557965755 566718159 781152057 944530265 1214396055 1301920095 1376315529 1700154477 2293859215 2833590795 3211402901 3905760285 4128946587 6881577645 8500772385 9634208703 16057014505 20644732935 28902626109 48171043515 144513130545