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3040404040305 = 325413375748817
BaseRepresentation
bin101100001111100110001…
…100111110101001110001
3101202122210222121012001100
4230033212030332221301
5344303221413242210
610244424202155013
7432443021635002
oct54174614765161
911678728535040
103040404040305
11a724788aa225
124113011b2a69
1319092a509a68
14a7228ddb1a9
155414b93b5c0
hex2c3e633ea71

3040404040305 has 48 divisors (see below), whose sum is σ = 5398841592144. Its totient is φ = 1581919580160.

The previous prime is 3040404040291. The next prime is 3040404040309. The reversal of 3040404040305 is 5030404040403.

It can be written as a sum of positive squares in 8 ways, for example, as 345789865521 + 2694614174784 = 588039^2 + 1641528^2 .

It is not a de Polignac number, because 3040404040305 - 211 = 3040404038257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3040404040309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62257257 + ... + 62306073.

It is an arithmetic number, because the mean of its divisors is an integer number (112475866503).

Almost surely, 23040404040305 is an apocalyptic number.

It is an amenable number.

3040404040305 is a deficient number, since it is larger than the sum of its proper divisors (2358437551839).

3040404040305 is a wasteful number, since it uses less digits than its factorization.

3040404040305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82626 (or 82623 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 3040404040305 its reverse (5030404040403), we get a palindrome (8070808080708).

The spelling of 3040404040305 in words is "three trillion, forty billion, four hundred four million, forty thousand, three hundred five".

Divisors: 1 3 5 9 15 41 45 123 205 369 615 1845 33757 48817 101271 146451 168785 244085 303813 439353 506355 732255 1384037 1519065 2001497 2196765 4152111 6004491 6920185 10007485 12456333 18013473 20760555 30022455 62281665 90067365 1647915469 4943746407 8239577345 14831239221 24718732035 67564534229 74156196105 202693602687 337822671145 608080808061 1013468013435 3040404040305