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145045606540541 = 72941127271506351
BaseRepresentation
bin100000111110101100001111…
…110110101010010011111101
3201000120020001201002222021112
4200332230033312222103331
5123002411400233244131
61232253010510011405
742360125226166250
oct4076541766522375
9630506051088245
10145045606540541
1142241550619723
12143269881a6b65
1362c1985261715
1427b635daad097
1511b7e80a0c02b
hex83eb0fdaa4fd

145045606540541 has 64 divisors (see below), whose sum is σ = 177701844418560. Its totient is φ = 115758901440000.

The previous prime is 145045606540529. The next prime is 145045606540573.

145045606540541 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-145045606540541 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 145045606540541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145045606540591) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286199516 + ... + 286705866.

It is an arithmetic number, because the mean of its divisors is an integer number (2776591319040).

Almost surely, 2145045606540541 is an apocalyptic number.

It is an amenable number.

145045606540541 is a deficient number, since it is larger than the sum of its proper divisors (32656237878019).

145045606540541 is a wasteful number, since it uses less digits than its factorization.

145045606540541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506826.

The product of its (nonzero) digits is 5760000, while the sum is 50.

The spelling of 145045606540541 in words is "one hundred forty-five trillion, forty-five billion, six hundred six million, five hundred forty thousand, five hundred forty-one".

Divisors: 1 7 29 41 127 203 271 287 889 1189 1897 3683 5207 7859 8323 11111 25781 34417 36449 55013 77777 151003 240919 322219 506351 998093 1057021 1411097 2255533 3544457 6986651 9877679 14684179 20760391 40921813 64306577 102789253 137221121 145322737 286452691 450146039 602051339 960547847 1864890733 2636569657 3979412509 4214359373 5626065961 13054235131 17427082367 18455987599 27855887563 39382461727 76460520053 121989576569 163155912869 505385388643 535223640371 714510377047 1142091390083 3537697720501 5001572639329 20720800934363 145045606540541