Search a number
-
+
1331222140440 = 2334510931312043
BaseRepresentation
bin10011010111110011000…
…001011101011000011000
311201021010011022112010000
4103113303001131120120
5133302320331443230
62455315514253000
7165114632331033
oct23276301353030
94637104275100
101331222140440
11473628214445
12195bbb727160
13986c273645a
144860804801a
1524964eaeb60
hex135f305d618

1331222140440 has 320 divisors, whose sum is σ = 4530237386400. Its totient is φ = 350582888448.

The previous prime is 1331222140433. The next prime is 1331222140441. The reversal of 1331222140440 is 440412221331.

1331222140440 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 2 + 2 + 214 + 0 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331222140441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 110533059 + ... + 110545101.

Almost surely, 21331222140440 is an apocalyptic number.

1331222140440 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 1331222140440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265118693200).

1331222140440 is an abundant number, since it is smaller than the sum of its proper divisors (3199015245960).

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

1331222140440 is a wasteful number, since it uses less digits than its factorization.

1331222140440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12488 (or 12475 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1331222140440 its reverse (440412221331), we get a palindrome (1771634361771).

The spelling of 1331222140440 in words is "one trillion, three hundred thirty-one billion, two hundred twenty-two million, one hundred forty thousand, four hundred forty".