Search a number
-
+
1142416661424 = 243349431158227
BaseRepresentation
bin10000100111111101010…
…101101101101110110000
311001012202222111102110220
4100213331111231232300
5122204132131131144
62232452521453040
7145352102254323
oct20477525555660
94035688442426
101142416661424
11400550471585
121654a9041180
138396372b0bc
143d4169d07ba
151eab4700919
hex109fd56dbb0

1142416661424 has 80 divisors (see below), whose sum is σ = 2966585126400. Its totient is φ = 378831018240.

The previous prime is 1142416661417. The next prime is 1142416661429. The reversal of 1142416661424 is 4241666142411.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1142416661429) 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 15 ways as a sum of consecutive naturals, for example, 7140999 + ... + 7299225.

It is an arithmetic number, because the mean of its divisors is an integer number (37082314080).

Almost surely, 21142416661424 is an apocalyptic number.

It is an amenable number.

1142416661424 is an abundant number, since it is smaller than the sum of its proper divisors (1824168464976).

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

1142416661424 is a wasteful number, since it uses less digits than its factorization.

1142416661424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159018 (or 159012 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The spelling of 1142416661424 in words is "one trillion, one hundred forty-two billion, four hundred sixteen million, six hundred sixty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 349 431 698 862 1047 1293 1396 1724 2094 2586 2792 3448 4188 5172 5584 6896 8376 10344 16752 20688 150419 158227 300838 316454 451257 474681 601676 632908 902514 949362 1203352 1265816 1805028 1898724 2406704 2531632 3610056 3797448 7220112 7594896 55221223 68195837 110442446 136391674 165663669 204587511 220884892 272783348 331327338 409175022 441769784 545566696 662654676 818350044 883539568 1091133392 1325309352 1636700088 2650618704 3273400176 23800347113 47600694226 71401041339 95201388452 142802082678 190402776904 285604165356 380805553808 571208330712 1142416661424