Search a number
-
+
11240404422400 = 285212739137869
BaseRepresentation
bin1010001110010001110001…
…0100000000111100000000
31110210120110002222200112201
42203210130110000330000
52433130322013004100
635523434232402544
72240043462102226
oct243443424007400
943716402880481
1011240404422400
11364403529473a
121316570846454
13636c72524c7a
142ac07781ab16
151475c6d9e36a
hexa391c500f00

11240404422400 has 108 divisors (see below), whose sum is σ = 27824143055800. Its totient is φ = 4495776215040.

The previous prime is 11240404422389. The next prime is 11240404422427. The reversal of 11240404422400 is 422440404211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81460666 + ... + 81598534.

Almost surely, 211240404422400 is an apocalyptic number.

11240404422400 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 11240404422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13912071527900).

11240404422400 is an abundant number, since it is smaller than the sum of its proper divisors (16583738633400).

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

11240404422400 is a wasteful number, since it uses less digits than its factorization.

11240404422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150634 (or 150615 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 11240404422400 its reverse (422440404211), we get a palindrome (11662844826611).

The spelling of 11240404422400 in words is "eleven trillion, two hundred forty billion, four hundred four million, four hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 12739 25478 50956 63695 101912 127390 137869 203824 254780 275738 318475 407648 509560 551476 636950 689345 815296 1019120 1102952 1273900 1378690 1630592 2038240 2205904 2547800 2757380 3261184 3446725 4076480 4411808 5095600 5514760 6893450 8152960 8823616 10191200 11029520 13786900 16305920 17647232 20382400 22059040 27573800 35294464 40764800 44118080 55147600 81529600 88236160 110295200 176472320 220590400 441180800 882361600 1756313191 3512626382 7025252764 8781565955 14050505528 17563131910 28101011056 35126263820 43907829775 56202022112 70252527640 87815659550 112404044224 140505055280 175631319100 224808088448 281010110560 351262638200 449616176896 562020221120 702525276400 1124040442240 1405050552800 2248080884480 2810101105600 5620202211200 11240404422400