Search a number
-
+
113112144240 = 2435581381077
BaseRepresentation
bin110100101011000000…
…0100101100101110000
3101210221222110021200120
41221112000211211300
53323123202103430
6123544001450240
711113011235164
oct1512600454560
9353858407616
10113112144240
1143a74947147
1219b09040980
13a8881b7784
14569065cca4
152e2043e610
hex1a56025970

113112144240 has 80 divisors (see below), whose sum is σ = 350712294048. Its totient is φ = 30157677568.

The previous prime is 113112144227. The next prime is 113112144247. The reversal of 113112144240 is 42441211311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 113112144240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113112144247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1354582 + ... + 1435658.

Almost surely, 2113112144240 is an apocalyptic number.

113112144240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113112144240 is an abundant number, since it is smaller than the sum of its proper divisors (237600149808).

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

113112144240 is a wasteful number, since it uses less digits than its factorization.

113112144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86906 (or 86900 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 113112144240 its reverse (42441211311), we get a palindrome (155553355551).

The spelling of 113112144240 in words is "one hundred thirteen billion, one hundred twelve million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 5813 11626 17439 23252 29065 34878 46504 58130 69756 81077 87195 93008 116260 139512 162154 174390 232520 243231 279024 324308 348780 405385 465040 486462 648616 697560 810770 972924 1216155 1297232 1395120 1621540 1945848 2432310 3243080 3891696 4864620 6486160 9729240 19458480 471300601 942601202 1413901803 1885202404 2356503005 2827803606 3770404808 4713006010 5655607212 7069509015 7540809616 9426012020 11311214424 14139018030 18852024040 22622428848 28278036060 37704048080 56556072120 113112144240