Search a number
-
+
32430440042 = 271113139911579
BaseRepresentation
bin11110001101000000…
…010011111001101010
310002201010121001022222
4132031000103321222
51012404143040132
622522012514042
72225441122610
oct361500237152
9102633531288
1032430440042
1112832157670
126350a7b922
13309aa7b0c0
1417d914d6b0
15c9c1b4412
hex78d013e6a

32430440042 has 64 divisors (see below), whose sum is σ = 65366784000. Its totient is φ = 11653951680.

The previous prime is 32430440027. The next prime is 32430440047. The reversal of 32430440042 is 24004403423.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 32430439993 and 32430440020.

It is not an unprimeable number, because it can be changed into a prime (32430440047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2795009 + ... + 2806587.

It is an arithmetic number, because the mean of its divisors is an integer number (1021356000).

Almost surely, 232430440042 is an apocalyptic number.

32430440042 is an abundant number, since it is smaller than the sum of its proper divisors (32936343958).

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

32430440042 is a wasteful number, since it uses less digits than its factorization.

32430440042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13011.

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 32430440042 its reverse (24004403423), we get a palindrome (56434843465).

The spelling of 32430440042 in words is "thirty-two billion, four hundred thirty million, four hundred forty thousand, forty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 1399 2002 2798 9793 11579 15389 18187 19586 23158 30778 36374 81053 107723 127309 127369 150527 162106 200057 215446 254618 254738 301054 400114 891583 1053689 1400399 1655797 1783166 2107378 2800798 3311594 11590579 16199021 23181158 32398042 113393147 178189231 210587273 226786294 356378462 421174546 1247324617 1474110911 2316460003 2494649234 2948221822 4632920006 16215220021 32430440042