Search a number
-
+
4412234311344 = 2432291056569519
BaseRepresentation
bin100000000110100110110…
…1010001010011010110000
3120121210202012021111000100
41000031031222022122300
51034242223440430334
613214541421552400
7633526164561246
oct100151552123260
916553665244010
104412234311344
111451244273182
125b3154415700
132600c1caa052
141137a62b4796
1579b8b9a9c99
hex4034da8a6b0

4412234311344 has 60 divisors (see below), whose sum is σ = 12773925496800. Its totient is φ = 1420029432192.

The previous prime is 4412234311343. The next prime is 4412234311411. The reversal of 4412234311344 is 4431134322144.

4412234311344 is a `hidden beast` number, since 4 + 41 + 223 + 43 + 11 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 4412234311299 and 4412234311308.

It is not an unprimeable number, because it can be changed into a prime (4412234311343) 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 11 ways as a sum of consecutive naturals, for example, 528280584 + ... + 528288935.

It is an arithmetic number, because the mean of its divisors is an integer number (212898758280).

Almost surely, 24412234311344 is an apocalyptic number.

It is an amenable number.

4412234311344 is an abundant number, since it is smaller than the sum of its proper divisors (8361691185456).

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

4412234311344 is a wasteful number, since it uses less digits than its factorization.

4412234311344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056569562 (or 1056569553 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 4412234311344 its reverse (4431134322144), we get a palindrome (8843368633488).

The spelling of 4412234311344 in words is "four trillion, four hundred twelve billion, two hundred thirty-four million, three hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 1056569519 2113139038 3169708557 4226278076 6339417114 8452556152 9509125671 12678834228 16905112304 19018251342 25357668456 30640516051 38036502684 50715336912 61281032102 76073005368 91921548153 122562064204 152146010736 183843096306 245124128408 275764644459 367686192612 490248256816 551529288918 735372385224 1103058577836 1470744770448 2206117155672 4412234311344