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1113442253040 = 2435131721234853
BaseRepresentation
bin10000001100111110010…
…101000111100011110000
310221102222201000222022110
4100030332111013203300
5121220312204044130
62211301443405320
7143305064664435
oct20147625074360
93842881028273
101113442253040
1139a232140727
1215b961683840
1380cc6993760
143bc68875b8c
151de6ab60ab0
hex1033e5478f0

1113442253040 has 240 divisors, whose sum is σ = 3948707454048. Its totient is φ = 257955643392.

The previous prime is 1113442252981. The next prime is 1113442253047. The reversal of 1113442253040 is 403522443111.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×11134422530403 (a number of 37 digits) contains 333 as substring.

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 = 1113442252989 and 1113442253007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113442253047) 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 47 ways as a sum of consecutive naturals, for example, 284254 + ... + 1519106.

Almost surely, 21113442253040 is an apocalyptic number.

1113442253040 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 1113442253040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974353727024).

1113442253040 is an abundant number, since it is smaller than the sum of its proper divisors (2835265201008).

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

1113442253040 is a wasteful number, since it uses less digits than its factorization.

1113442253040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234916 (or 1234893 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 1113442253040 its reverse (403522443111), we get a palindrome (1516964696151).

The spelling of 1113442253040 in words is "one trillion, one hundred thirteen billion, four hundred forty-two million, two hundred fifty-three thousand, forty".