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133311240440 = 2357272793557
BaseRepresentation
bin111110000100111111…
…0000001100011111000
3110202002200121200120122
41330021332001203320
54141010134143230
6141124202312412
712426401563400
oct1741176014370
9422080550518
10133311240440
115159a7a1084
1221a057b8708
13c756bc11c1
14664916d800
1537038d6be5
hex1f09f818f8

133311240440 has 96 divisors (see below), whose sum is σ = 349405449120. Its totient is φ = 45643352832.

The previous prime is 133311240421. The next prime is 133311240443. The reversal of 133311240440 is 44042113331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133311240443) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1378142 + ... + 1471698.

It is an arithmetic number, because the mean of its divisors is an integer number (3639640095).

Almost surely, 2133311240440 is an apocalyptic number.

133311240440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133311240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174702724560).

133311240440 is an abundant number, since it is smaller than the sum of its proper divisors (216094208680).

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

133311240440 is a wasteful number, since it uses less digits than its factorization.

133311240440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94309 (or 94298 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 133311240440 its reverse (44042113331), we get a palindrome (177353353771).

The spelling of 133311240440 in words is "one hundred thirty-three billion, three hundred eleven million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 727 980 1454 1960 2908 3635 5089 5816 7270 10178 14540 20356 25445 29080 35623 40712 50890 71246 93557 101780 142492 178115 187114 203560 284984 356230 374228 467785 654899 712460 748456 935570 1309798 1424920 1871140 2619596 3274495 3742280 4584293 5239192 6548990 9168586 13097980 18337172 22921465 26195960 36674344 45842930 68015939 91685860 136031878 183371720 272063756 340079695 476111573 544127512 680159390 952223146 1360318780 1904446292 2380557865 2720637560 3332781011 3808892584 4761115730 6665562022 9522231460 13331124044 16663905055 19044462920 26662248088 33327810110 66655620220 133311240440