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4432144344 = 2332361131627
BaseRepresentation
bin1000010000010110…
…10010011111011000
3102102212212021001020
410020023102133120
533034112104334
62011444122440
7214555414425
oct41013223730
912385767036
104432144344
111974914711
12a38396420
13558309024
143008c4d4c
151ae187e49
hex1082d27d8

4432144344 has 64 divisors (see below), whose sum is σ = 11751747840. Its totient is φ = 1389970560.

The previous prime is 4432144333. The next prime is 4432144349. The reversal of 4432144344 is 4434412344.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4432144349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32142 + ... + 99485.

It is an arithmetic number, because the mean of its divisors is an integer number (183621060).

Almost surely, 24432144344 is an apocalyptic number.

It is an amenable number.

4432144344 is an abundant number, since it is smaller than the sum of its proper divisors (7319603496).

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

4432144344 is a wasteful number, since it uses less digits than its factorization.

4432144344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131720 (or 131716 counting only the distinct ones).

The product of its digits is 73728, while the sum is 33.

The square root of 4432144344 is about 66574.3519983484. The cubic root of 4432144344 is about 1642.6232487227.

Adding to 4432144344 its reverse (4434412344), we get a palindrome (8866556688).

The spelling of 4432144344 in words is "four billion, four hundred thirty-two million, one hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 61 69 92 122 138 183 184 244 276 366 488 552 732 1403 1464 2806 4209 5612 8418 11224 16836 33672 131627 263254 394881 526508 789762 1053016 1579524 3027421 3159048 6054842 8029247 9082263 12109684 16058494 18164526 24087741 24219368 32116988 36329052 48175482 64233976 72658104 96350964 184672681 192701928 369345362 554018043 738690724 1108036086 1477381448 2216072172 4432144344