Search a number
-
+
135314204445 = 32571725268759
BaseRepresentation
bin111111000000101011…
…0101110011100011101
3110221021021112210122200
41332001112232130131
54204110414020240
6142055033002113
712530132521530
oct1760126563435
9427237483580
10135314204445
1152428382632
1222284553339
13c9b5b656c4
14679919aa17
1537be682930
hex1f815ae71d

135314204445 has 48 divisors (see below), whose sum is σ = 283818712320. Its totient is φ = 58219218432.

The previous prime is 135314204419. The next prime is 135314204453. The reversal of 135314204445 is 544402413531.

135314204445 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 1 + 4 + 204 + 445 = 666.

It is not a de Polignac number, because 135314204445 - 26 = 135314204381 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12629025 + ... + 12639734.

It is an arithmetic number, because the mean of its divisors is an integer number (5912889840).

Almost surely, 2135314204445 is an apocalyptic number.

135314204445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135314204445 is an abundant number, since it is smaller than the sum of its proper divisors (148504507875).

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

135314204445 is a wasteful number, since it uses less digits than its factorization.

135314204445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25268794 (or 25268791 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 135314204445 its reverse (544402413531), we get a palindrome (679716617976).

The spelling of 135314204445 in words is "one hundred thirty-five billion, three hundred fourteen million, two hundred four thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 765 1071 1785 5355 25268759 75806277 126343795 176881313 227418831 379031385 429568903 530643939 884406565 1137094155 1288706709 1591931817 2147844515 2653219695 3006982321 3866120127 6443533545 7959659085 9020946963 15034911605 19330600635 27062840889 45104734815 135314204445