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2940744065 = 572172411013
BaseRepresentation
bin1010111101001000…
…0011000110000001
321120221112021110212
42233102003012001
522010312302230
61203450203505
7132605624600
oct25722030601
97527467425
102940744065
111279a785a6
126a0a23595
1337b33815c
141dc7bda37
1512328b895
hexaf483181

2940744065 has 72 divisors (see below), whose sum is σ = 4471484472. Its totient is φ = 1849774080.

The previous prime is 2940744049. The next prime is 2940744067. The reversal of 2940744065 is 5604470492.

It can be written as a sum of positive squares in 12 ways, for example, as 1574184976 + 1366559089 = 39676^2 + 36967^2 .

It is not a de Polignac number, because 2940744065 - 24 = 2940744049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (2940744067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2902499 + ... + 2903511.

It is an arithmetic number, because the mean of its divisors is an integer number (62103951).

Almost surely, 22940744065 is an apocalyptic number.

It is an amenable number.

2940744065 is a deficient number, since it is larger than the sum of its proper divisors (1530740407).

2940744065 is a wasteful number, since it uses less digits than its factorization.

2940744065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The square root of 2940744065 is about 54228.6277255842. The cubic root of 2940744065 is about 1432.6905943134.

The spelling of 2940744065 in words is "two billion, nine hundred forty million, seven hundred forty-four thousand, sixty-five".

Divisors: 1 5 7 17 35 41 49 85 119 205 245 287 289 595 697 833 1013 1435 1445 2009 2023 3485 4165 4879 5065 7091 10045 10115 11849 14161 17221 24395 34153 35455 41533 49637 59245 70805 82943 86105 120547 170765 207665 248185 290731 292757 414715 580601 602735 706061 843829 1453655 1463785 2035117 2049299 2903005 3530305 4219145 4942427 10175585 10246495 12003037 14345093 24712135 34596989 60015185 71725465 84021259 172984945 420106295 588148813 2940744065