Search a number
-
+
4314055464444 = 2231160383541249
BaseRepresentation
bin111110110001110001101…
…111100101010111111100
3120021102022221110022011110
4332301301233211113330
51031140141144330234
613101503312322020
7623452213261065
oct76616157452774
916242287408143
104314055464444
11141364292a390
12598114543310
13253a768858bb
1410cb3107556c
15773425a61e9
hex3ec71be55fc

4314055464444 has 48 divisors (see below), whose sum is σ = 10981434240000. Its totient is φ = 1307265469440.

The previous prime is 4314055464427. The next prime is 4314055464457. The reversal of 4314055464444 is 4444645504134.

It is a happy number.

It is a super-2 number, since 2×43140554644442 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4314055464393 and 4314055464402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7699932 + ... + 8241180.

It is an arithmetic number, because the mean of its divisors is an integer number (228779880000).

Almost surely, 24314055464444 is an apocalyptic number.

4314055464444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4314055464444 is an abundant number, since it is smaller than the sum of its proper divisors (6667378775556).

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

4314055464444 is a wasteful number, since it uses less digits than its factorization.

4314055464444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601650 (or 601648 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 48.

The spelling of 4314055464444 in words is "four trillion, three hundred fourteen billion, fifty-five million, four hundred sixty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 60383 120766 181149 241532 362298 541249 664213 724596 1082498 1328426 1623747 1992639 2164996 2656852 3247494 3985278 5953739 6494988 7970556 11907478 17861217 23814956 35722434 71444868 32682238367 65364476734 98046715101 130728953468 196093430202 359504622037 392186860404 719009244074 1078513866111 1438018488148 2157027732222 4314055464444