Search a number
-
+
112415340113040 = 2435468397250471
BaseRepresentation
bin11001100011110110111100…
…011010100010110010010000
3112202000210122100002111010210
4121203312330122202302100
5104213303104032104130
61035030521100524120
732451511631653356
oct3143667432426220
9482023570074123
10112415340113040
1132901094917348
1210736a19b50640
134a9594b2c3b13
141da8d0802d7d6
15cee2aabd25b0
hex663dbc6a2c90

112415340113040 has 40 divisors (see below), whose sum is σ = 348487554351168. Its totient is φ = 29977424030080.

The previous prime is 112415340113033. The next prime is 112415340113059. The reversal of 112415340113040 is 40311043514211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 112415340112989 and 112415340113007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234198624996 + ... + 234198625475.

Almost surely, 2112415340113040 is an apocalyptic number.

112415340113040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112415340113040 is an abundant number, since it is smaller than the sum of its proper divisors (236072214238128).

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

112415340113040 is a wasteful number, since it uses less digits than its factorization.

112415340113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468397250487 (or 468397250481 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 112415340113040 its reverse (40311043514211), we get a palindrome (152726383627251).

The spelling of 112415340113040 in words is "one hundred twelve trillion, four hundred fifteen billion, three hundred forty million, one hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 468397250471 936794500942 1405191751413 1873589001884 2341986252355 2810383502826 3747178003768 4683972504710 5620767005652 7025958757065 7494356007536 9367945009420 11241534011304 14051917514130 18735890018840 22483068022608 28103835028260 37471780037680 56207670056520 112415340113040