Search a number
-
+
40431441142422 = 232111336715276367
BaseRepresentation
bin10010011000101101011011…
…01011111110001010010110
312022011012121122112220102200
421030112231223332022112
520244412042413024142
6221553540405145330
711342034542203011
oct1114265553761226
9168135548486380
1040431441142422
11119789725300a0
12464ba739bb246
13197388ca23195
149dac6c268378
154a1aaba0e64c
hex24c5adafe296

40431441142422 has 48 divisors (see below), whose sum is σ = 95572380114432. Its totient is φ = 12251034477360.

The previous prime is 40431441142399. The next prime is 40431441142427. The reversal of 40431441142422 is 22424114413404.

40431441142422 is a `hidden beast` number, since 4 + 0 + 4 + 31 + 441 + 142 + 42 + 2 = 666.

It is a super-3 number, since 3×404314411424223 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40431441142427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4991518 + ... + 10284849.

It is an arithmetic number, because the mean of its divisors is an integer number (1991091252384).

Almost surely, 240431441142422 is an apocalyptic number.

40431441142422 is an abundant number, since it is smaller than the sum of its proper divisors (55140938972010).

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

40431441142422 is a wasteful number, since it uses less digits than its factorization.

40431441142422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15289753 (or 15289750 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 40431441142422 its reverse (22424114413404), we get a palindrome (62855555555826).

The spelling of 40431441142422 in words is "forty trillion, four hundred thirty-one billion, four hundred forty-one million, one hundred forty-two thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 13367 26734 40101 80202 120303 147037 240606 294074 441111 882222 1323333 2646666 15276367 30552734 45829101 91658202 137487303 168040037 274974606 336080074 504120111 1008240222 1512360333 3024720666 204199197689 408398395378 612597593067 1225195186134 1837792779201 2246191174579 3675585558402 4492382349158 6738573523737 13477147047474 20215720571211 40431441142422