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1140032114432 = 28139125925447
BaseRepresentation
bin10000100101101111001…
…101011000111100000000
311000222121210112212221122
4100211233031120330000
5122134241210130212
62231420140411412
7145236026041301
oct20455715307400
94028553485848
101140032114432
113aa537454092
12164b42546b68
13836736c3053
143d26c0347a8
151e9c51cd272
hex1096f358f00

1140032114432 has 72 divisors (see below), whose sum is σ = 2293892899200. Its totient is φ = 565443505152.

The previous prime is 1140032114413. The next prime is 1140032114471. The reversal of 1140032114432 is 2344112300411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44787533 + ... + 44812979.

It is an arithmetic number, because the mean of its divisors is an integer number (31859623600).

Almost surely, 21140032114432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140032114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146946449600).

1140032114432 is an abundant number, since it is smaller than the sum of its proper divisors (1153860784768).

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

1140032114432 is a wasteful number, since it uses less digits than its factorization.

1140032114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26861 (or 26847 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 1140032114432 its reverse (2344112300411), we get a palindrome (3484144414843).

The spelling of 1140032114432 in words is "one trillion, one hundred forty billion, thirty-two million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 139 256 278 556 1112 1259 2224 2518 4448 5036 8896 10072 17792 20144 25447 35584 40288 50894 80576 101788 161152 175001 203576 322304 350002 407152 700004 814304 1400008 1628608 2800016 3257216 3537133 5600032 6514432 7074266 11200064 14148532 22400128 28297064 32037773 44800256 56594128 64075546 113188256 128151092 226376512 256302184 452753024 512604368 905506048 1025208736 2050417472 4100834944 4453250447 8201669888 8906500894 17813001788 35626003576 71252007152 142504014304 285008028608 570016057216 1140032114432