Search a number
-
+
2432234226444 = 22311177710369171
BaseRepresentation
bin100011011001001100011…
…101010000001100001100
322121112000120210120211120
4203121030131100030030
5304322203430221234
65101204124320540
7340503013544451
oct43311435201414
98545016716746
102432234226444
118585608a3650
123334723a3150
131484880c0a89
1485a13ac7828
154340472d049
hex2364c75030c

2432234226444 has 48 divisors (see below), whose sum is σ = 6194626306176. Its totient is φ = 736625836800.

The previous prime is 2432234226437. The next prime is 2432234226491. The reversal of 2432234226444 is 4446224322342.

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 = 2432234226396 and 2432234226405.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4950022 + ... + 5419149.

It is an arithmetic number, because the mean of its divisors is an integer number (129054714712).

Almost surely, 22432234226444 is an apocalyptic number.

It is an amenable number.

2432234226444 is an abundant number, since it is smaller than the sum of its proper divisors (3762392079732).

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

2432234226444 is a wasteful number, since it uses less digits than its factorization.

2432234226444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10370966 (or 10370964 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 42.

Adding to 2432234226444 its reverse (4446224322342), we get a palindrome (6878458548786).

The spelling of 2432234226444 in words is "two trillion, four hundred thirty-two billion, two hundred thirty-four million, two hundred twenty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1777 3554 5331 7108 10662 19547 21324 39094 58641 78188 117282 234564 10369171 20738342 31107513 41476684 62215026 114060881 124430052 228121762 342182643 456243524 684365286 1368730572 18426016867 36852033734 55278050601 73704067468 110556101202 202686185537 221112202404 405372371074 608058556611 810744742148 1216117113222 2432234226444