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145034360541 = 3472172149517
BaseRepresentation
bin1000011100010010111…
…0001011011011011101
3111212100200201220010000
42013010232023123131
54334012244014131
6150343341404513
713323041503200
oct2070456133335
9455320656100
10145034360541
115656612a794
1224137869739
13108a4891565
14703c0b5937
153b8cbb3ce6
hex21c4b8b6dd

145034360541 has 60 divisors (see below), whose sum is σ = 266854061628. Its totient is φ = 78001636608.

The previous prime is 145034360501. The next prime is 145034360593. The reversal of 145034360541 is 145063430541.

145034360541 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 3 + 4 + 3 + 605 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 135597015225 + 9437345316 = 368235^2 + 97146^2 .

It is not a de Polignac number, because 145034360541 - 225 = 145000806109 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 145034360496 and 145034360505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145034360501) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1007286 + ... + 1142231.

Almost surely, 2145034360541 is an apocalyptic number.

It is an amenable number.

145034360541 is a deficient number, since it is larger than the sum of its proper divisors (121819701087).

145034360541 is a wasteful number, since it uses less digits than its factorization.

145034360541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149560 (or 2149544 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 145034360541 in words is "one hundred forty-five billion, thirty-four million, three hundred sixty thousand, five hundred forty-one".

Divisors: 1 3 7 9 17 21 27 49 51 63 81 119 147 153 189 357 441 459 567 833 1071 1323 1377 2499 3213 3969 7497 9639 22491 67473 2149517 6448551 15046619 19345653 36541789 45139857 58036959 105326333 109625367 135419571 174110877 255792523 315978999 328876101 406258713 767377569 947936997 986628303 1218776139 1790547661 2302132707 2843810991 2959884909 5371642983 6906398121 8531432973 16114928949 20719194363 48344786847 145034360541