Search a number
-
+
4313441434725 = 335247745718233
BaseRepresentation
bin111110110001001101001…
…001001111110001100101
3120021100202011001100202000
4332301031021033301211
51031132412001402400
613101322335435513
7623431046150013
oct76611511176145
916240664040660
104313441434725
111413358269805
12597b82985b99
132539a95b71c7
1410cab36b98b3
1577308716600
hex3ec4d24fc65

4313441434725 has 96 divisors (see below), whose sum is σ = 8094075517440. Its totient is φ = 2251129835520.

The previous prime is 4313441434721. The next prime is 4313441434727. The reversal of 4313441434725 is 5274341443134.

4313441434725 is a `hidden beast` number, since 4 + 3 + 1 + 34 + 4 + 143 + 472 + 5 = 666.

It is not a de Polignac number, because 4313441434725 - 22 = 4313441434721 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4313441434721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 236564209 + ... + 236582441.

It is an arithmetic number, because the mean of its divisors is an integer number (84313286640).

Almost surely, 24313441434725 is an apocalyptic number.

4313441434725 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4313441434725 is a deficient number, since it is larger than the sum of its proper divisors (3780634082715).

4313441434725 is a wasteful number, since it uses less digits than its factorization.

4313441434725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25756 (or 25745 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 45.

Adding to 4313441434725 its reverse (5274341443134), we get a palindrome (9587782877859).

The spelling of 4313441434725 in words is "four trillion, three hundred thirteen billion, four hundred forty-one million, four hundred thirty-four thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 47 75 135 141 225 235 423 675 705 1175 1269 2115 3525 6345 7457 10575 18233 22371 31725 37285 54699 67113 91165 111855 164097 186425 201339 273495 335565 350479 455825 492291 559275 820485 856951 1006695 1051437 1367475 1677825 1752395 2461455 2570853 3154311 4102425 4284755 5033475 5257185 7712559 8761975 9462933 12307275 12854265 15771555 21423775 23137677 26285925 38562795 47314665 64271325 78857775 115688385 135963481 192813975 236573325 407890443 578441925 679817405 1223671329 2039452215 3399087025 3671013987 6118356645 6390283607 10197261075 18355069935 19170850821 30591783225 31951418035 57512552463 91775349675 95854254105 159757090175 172537657389 287562762315 479271270525 862688286945 1437813811575 4313441434725