Search a number
-
+
432414102012 = 223197947950119
BaseRepresentation
bin1100100101011011110…
…00111001000111111100
31112100010200102100202120
412102231320321013330
524041041002231022
6530352010522540
743145424136104
oct6225570710774
91470120370676
10432414102012
1115742753aa62
126b97a736450
1331a12bb8a69
1416d0109c204
15b3ac431d5c
hex64ade391fc

432414102012 has 96 divisors (see below), whose sum is σ = 1077780480000. Its totient is φ = 134539164864.

The previous prime is 432414102011. The next prime is 432414102019. The reversal of 432414102012 is 210201414234.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432414102011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8602689 + ... + 8652807.

It is an arithmetic number, because the mean of its divisors is an integer number (11226880000).

Almost surely, 2432414102012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432414102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538890240000).

432414102012 is an abundant number, since it is smaller than the sum of its proper divisors (645366377988).

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

432414102012 is a wasteful number, since it uses less digits than its factorization.

432414102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50703 (or 50701 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 432414102012 its reverse (210201414234), we get a palindrome (642615516246).

The spelling of 432414102012 in words is "four hundred thirty-two billion, four hundred fourteen million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 79 114 158 228 237 316 474 479 948 958 1437 1501 1916 2874 3002 4503 5748 6004 9006 9101 18012 18202 27303 36404 37841 50119 54606 75682 100238 109212 113523 150357 151364 200476 227046 300714 454092 601428 718979 952261 1437958 1904522 2156937 2856783 2875916 3809044 3959401 4313874 5713566 7918802 8627748 11427132 11878203 15837604 23756406 24007001 47512812 48014002 72021003 75228619 96028004 144042006 150457238 225685857 288084012 300914476 451371714 456133019 902743428 912266038 1368399057 1824532076 1896553079 2736798114 3793106158 5473596228 5689659237 7586212316 11379318474 22758636948 36034508501 72069017002 108103525503 144138034004 216207051006 432414102012