Search a number
-
+
442432002204 = 22354111101877
BaseRepresentation
bin1100111000000110000…
…00001001100010011100
31120021222211212102100000
412130003000021202130
524222100043032304
6535130033134300
743651606653153
oct6340300114234
91507884772300
10442432002204
111606a8370715
12718b56ba390
133294b50295a
14175b176059a
15b796b78939
hex670300989c

442432002204 has 72 divisors (see below), whose sum is σ = 1188078576048. Its totient is φ = 143880312960.

The previous prime is 442432002179. The next prime is 442432002241. The reversal of 442432002204 is 402200234244.

442432002204 is a `hidden beast` number, since 4 + 4 + 2 + 432 + 0 + 0 + 220 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5511087 + ... + 5590790.

It is an arithmetic number, because the mean of its divisors is an integer number (16501091334).

Almost surely, 2442432002204 is an apocalyptic number.

It is an amenable number.

442432002204 is an abundant number, since it is smaller than the sum of its proper divisors (745646573844).

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

442432002204 is a wasteful number, since it uses less digits than its factorization.

442432002204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11101937 (or 11101923 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 442432002204 its reverse (402200234244), we get a palindrome (844632236448).

The spelling of 442432002204 in words is "four hundred forty-two billion, four hundred thirty-two million, two thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 243 246 324 369 486 492 738 972 1107 1476 2214 3321 4428 6642 9963 13284 19926 39852 11101877 22203754 33305631 44407508 66611262 99916893 133222524 199833786 299750679 399667572 455176957 599501358 899252037 910353914 1199002716 1365530871 1798504074 1820707828 2697756111 2731061742 3597008148 4096592613 5395512222 5462123484 8193185226 10791024444 12289777839 16386370452 24579555678 36869333517 49159111356 73738667034 110608000551 147477334068 221216001102 442432002204