Search a number
-
+
2144111050240 = 2954321932347
BaseRepresentation
bin11111001100110110111…
…110100011111000000000
321120222022210012201110021
4133030312332203320000
5240112114412101430
64320554020543224
7310623033135415
oct37146676437000
97528283181407
102144111050240
11757348877905
122a7662551b14
1312725ba5a173
1475ac009c10c
153ab8eaad07a
hex1f336fa3e00

2144111050240 has 240 divisors, whose sum is σ = 5292700517808. Its totient is φ = 833003716608.

The previous prime is 2144111050231. The next prime is 2144111050241. The reversal of 2144111050240 is 420501114412.

It is a super-2 number, since 2×21441110502402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144111050241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 913552747 + ... + 913555093.

Almost surely, 22144111050240 is an apocalyptic number.

2144111050240 is a gapful number since it is divisible by the number (20) 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 2144111050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646350258904).

2144111050240 is an abundant number, since it is smaller than the sum of its proper divisors (3148589467568).

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

2144111050240 is an equidigital number, since it uses as much as digits as its factorization.

2144111050240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 2144111050240 its reverse (420501114412), we get a palindrome (2564612164652).

The spelling of 2144111050240 in words is "two trillion, one hundred forty-four billion, one hundred eleven million, fifty thousand, two hundred forty".