Search a number
-
+
4334144151105 = 325975527179651
BaseRepresentation
bin111111000100011111000…
…111110101111001000001
3120100100011221212022122100
4333010133013311321001
51032002311400313410
613115024530501013
7625063063300506
oct77043707657101
916310157768570
104334144151105
111421111422a6a
1259bba0134769
13255928742742
1410dab90454ad
1577b1aede8c0
hex3f11f1f5e41

4334144151105 has 48 divisors (see below), whose sum is σ = 7591380660864. Its totient is φ = 2287286553600.

The previous prime is 4334144151097. The next prime is 4334144151137. The reversal of 4334144151105 is 5011514414334.

4334144151105 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4334144151105 - 23 = 4334144151097 is a prime.

It is a super-3 number, since 3×43341441511053 (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4334144151105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24035530 + ... + 24215180.

It is an arithmetic number, because the mean of its divisors is an integer number (158153763768).

Almost surely, 24334144151105 is an apocalyptic number.

4334144151105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4334144151105 is a deficient number, since it is larger than the sum of its proper divisors (3257236509759).

4334144151105 is a wasteful number, since it uses less digits than its factorization.

4334144151105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185286 (or 185283 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 4334144151105 its reverse (5011514414334), we get a palindrome (9345658565439).

The spelling of 4334144151105 in words is "four trillion, three hundred thirty-four billion, one hundred forty-four million, one hundred fifty-one thousand, one hundred five".

Divisors: 1 3 5 9 15 45 97 291 485 873 1455 4365 5527 16581 27635 49743 82905 179651 248715 536119 538953 898255 1608357 1616859 2680595 2694765 4825071 8041785 8084295 17426147 24125355 52278441 87130735 156835323 261392205 784176615 992931077 2978793231 4964655385 8936379693 14893966155 44681898465 96314314469 288942943407 481571572345 866828830221 1444714717035 4334144151105