Search a number
-
+
11400242040 = 23325112878849
BaseRepresentation
bin10101001111000000…
…11110001101111000
31002102111120022002200
422213200132031320
5141321430221130
65123122430200
7552336313155
oct124740361570
932374508080
1011400242040
114920159640
122261b02360
1310c8b22165
147a20d922c
1546ac9e760
hex2a781e378

11400242040 has 96 divisors (see below), whose sum is σ = 40419054000. Its totient is φ = 2763694080.

The previous prime is 11400242011. The next prime is 11400242057. The reversal of 11400242040 is 4024200411.

11400242040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1435465 + ... + 1443384.

Almost surely, 211400242040 is an apocalyptic number.

11400242040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11400242040 is an abundant number, since it is smaller than the sum of its proper divisors (29018811960).

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

11400242040 is a wasteful number, since it uses less digits than its factorization.

11400242040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878877 (or 2878870 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 11400242040 its reverse (4024200411), we get a palindrome (15424442451).

The spelling of 11400242040 in words is "eleven billion, four hundred million, two hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 2878849 5757698 8636547 11515396 14394245 17273094 23030792 25909641 28788490 31667339 34546188 43182735 51819282 57576980 63334678 69092376 86365470 95002017 103638564 115153960 126669356 129548205 158336695 172730940 190004034 207277128 253338712 259096410 285006051 316673390 345461880 380008068 475010085 518192820 570012102 633346780 760016136 950020170 1036385640 1140024204 1266693560 1425030255 1900040340 2280048408 2850060510 3800080680 5700121020 11400242040