Search a number
-
+
434374437444 = 2231033463101483
BaseRepresentation
bin1100101001000101011…
…10111110101001000100
31112112012022010201102120
412110202232332221010
524104044323444234
6531314315405540
743245126540543
oct6244256765104
91475168121376
10434374437444
11158243055a92
12702271538b0
1331c6608615c
141704959015a
15b4745ac049
hex6522bbea44

434374437444 has 48 divisors (see below), whose sum is σ = 1023686157312. Its totient is φ = 143342919072.

The previous prime is 434374437421. The next prime is 434374437487. The reversal of 434374437444 is 444734473434.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4229527 + ... + 4331009.

It is an arithmetic number, because the mean of its divisors is an integer number (21326794944).

Almost surely, 2434374437444 is an apocalyptic number.

It is an amenable number.

434374437444 is an abundant number, since it is smaller than the sum of its proper divisors (589311719868).

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

434374437444 is a wasteful number, since it uses less digits than its factorization.

434374437444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105056 (or 105054 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 51.

The spelling of 434374437444 in words is "four hundred thirty-four billion, three hundred seventy-four million, four hundred thirty-seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 103 206 309 412 618 1236 3463 6926 10389 13852 20778 41556 101483 202966 304449 356689 405932 608898 713378 1070067 1217796 1426756 2140134 4280268 10452749 20905498 31358247 41810996 62716494 125432988 351435629 702871258 1054306887 1405742516 2108613774 4217227548 36197869787 72395739574 108593609361 144791479148 217187218722 434374437444