Search a number
-
+
11304013440 = 27355887507
BaseRepresentation
bin10101000011100010…
…11000111010000000
31002011210111101021110
422201301120322000
5141122311412230
65105404123320
7550060346256
oct124161307200
932153441243
1011304013440
114880903675
122235836540
1310b1bcc165
1479340a5d6
154625e24b0
hex2a1c58e80

11304013440 has 64 divisors (see below), whose sum is σ = 36031548960. Its totient is φ = 3014403072.

The previous prime is 11304013433. The next prime is 11304013451. The reversal of 11304013440 is 4431040311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×113040134403 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

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, 2941834 + ... + 2945673.

Almost surely, 211304013440 is an apocalyptic number.

11304013440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11304013440 is an abundant number, since it is smaller than the sum of its proper divisors (24727535520).

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

11304013440 is an equidigital number, since it uses as much as digits as its factorization.

11304013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5887529 (or 5887517 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 11304013440 its reverse (4431040311), we get a palindrome (15735053751).

The spelling of 11304013440 in words is "eleven billion, three hundred four million, thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 5887507 11775014 17662521 23550028 29437535 35325042 47100056 58875070 70650084 88312605 94200112 117750140 141300168 176625210 188400224 235500280 282600336 353250420 376800448 471000560 565200672 706500840 753600896 942001120 1130401344 1413001680 1884002240 2260802688 2826003360 3768004480 5652006720 11304013440