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11300140240 = 245433732569
BaseRepresentation
bin10101000011000101…
…00111010011010000
31002011112012121020121
422201202213103100
5141120313441430
65105145120024
7550012415164
oct124142472320
932145177217
1011300140240
1148796a8684
122234489014
1310b117421c
14792abcca4
154620c9a7a
hex2a18a74d0

11300140240 has 40 divisors (see below), whose sum is σ = 26279690760. Its totient is φ = 4518875136.

The previous prime is 11300140231. The next prime is 11300140279. The reversal of 11300140240 is 4204100311.

It can be written as a sum of positive squares in 4 ways, for example, as 1008443536 + 10291696704 = 31756^2 + 101448^2 .

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 (16).

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, 330676 + ... + 363244.

It is an arithmetic number, because the mean of its divisors is an integer number (656992269).

Almost surely, 211300140240 is an apocalyptic number.

11300140240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11300140240 is an abundant number, since it is smaller than the sum of its proper divisors (14979550520).

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

11300140240 is a wasteful number, since it uses less digits than its factorization.

11300140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36919 (or 36913 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11300140240 its reverse (4204100311), we get a palindrome (15504240551).

The spelling of 11300140240 in words is "eleven billion, three hundred million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4337 8674 17348 21685 32569 34696 43370 65138 69392 86740 130276 162845 173480 260552 325690 346960 521104 651380 1302760 2605520 141251753 282503506 565007012 706258765 1130014024 1412517530 2260028048 2825035060 5650070120 11300140240