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4254144312 = 2331179203977
BaseRepresentation
bin1111110110010001…
…0001011100111000
3101222110220220220110
43331210101130320
532203030104222
61542045024320
7210264426045
oct37544213470
911873826813
104254144312
111893398650
129a88550a0
1352a485572
142c4dcc1cc
1519d72730c
hexfd911738

4254144312 has 64 divisors (see below), whose sum is σ = 11749132800. Its totient is φ = 1272810240.

The previous prime is 4254144281. The next prime is 4254144317. The reversal of 4254144312 is 2134414524.

It is a super-3 number, since 3×42541443123 (a number of 30 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 4254144312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4254144317) by changing a digit.

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, 81133 + ... + 122844.

It is an arithmetic number, because the mean of its divisors is an integer number (183580200).

Almost surely, 24254144312 is an apocalyptic number.

It is an amenable number.

4254144312 is an abundant number, since it is smaller than the sum of its proper divisors (7494988488).

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

4254144312 is a wasteful number, since it uses less digits than its factorization.

4254144312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204076 (or 204072 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 4254144312 is about 65223.8017291234. The cubic root of 4254144312 is about 1620.3322379092.

Adding to 4254144312 its reverse (2134414524), we get a palindrome (6388558836).

The spelling of 4254144312 in words is "four billion, two hundred fifty-four million, one hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 79 88 132 158 237 264 316 474 632 869 948 1738 1896 2607 3476 5214 6952 10428 20856 203977 407954 611931 815908 1223862 1631816 2243747 2447724 4487494 4895448 6731241 8974988 13462482 16114183 17949976 26924964 32228366 48342549 53849928 64456732 96685098 128913464 177256013 193370196 354512026 386740392 531768039 709024052 1063536078 1418048104 2127072156 4254144312