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11440023040 = 29531114369
BaseRepresentation
bin10101010011110000…
…01110011000000000
31002112021102101101001
422221320032120000
5141412121214130
65131103221344
7553331406565
oct125170163000
932467371331
1011440023040
11494065a6a6
1222732a7854
131104140104
147a74d286c
1546e50b6ca
hex2a9e0e600

11440023040 has 80 divisors (see below), whose sum is σ = 27519354720. Its totient is φ = 4560977920.

The previous prime is 11440023029. The next prime is 11440023043. The reversal of 11440023040 is 4032004411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11440022999 and 11440023017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11440023043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 788976 + ... + 803344.

It is an arithmetic number, because the mean of its divisors is an integer number (343991934).

Almost surely, 211440023040 is an apocalyptic number.

11440023040 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 11440023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13759677360).

11440023040 is an abundant number, since it is smaller than the sum of its proper divisors (16079331680).

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

11440023040 is an equidigital number, since it uses as much as digits as its factorization.

11440023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14703 (or 14687 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 11440023040 its reverse (4032004411), we get a palindrome (15472027451).

The spelling of 11440023040 in words is "eleven billion, four hundred forty million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 311 320 512 622 640 1244 1280 1555 2488 2560 3110 4976 6220 9952 12440 14369 19904 24880 28738 39808 49760 57476 71845 79616 99520 114952 143690 159232 199040 229904 287380 398080 459808 574760 796160 919616 1149520 1839232 2299040 3678464 4468759 4598080 7356928 8937518 9196160 17875036 18392320 22343795 35750072 36784640 44687590 71500144 89375180 143000288 178750360 286000576 357500720 572001152 715001440 1144002304 1430002880 2288004608 2860005760 5720011520 11440023040