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11400430340 = 22513137320057
BaseRepresentation
bin10101001111000010…
…01100001100000100
31002102111220212101202
422213201030030010
5141322002232330
65123130442032
7552341026145
oct124741141404
932374825352
1011400430340
114920278062
122261b93318
1310c8b89a90
147a2147acc
1546acda445
hex2a784c304

11400430340 has 48 divisors (see below), whose sum is σ = 25970786352. Its totient is φ = 4178651136.

The previous prime is 11400430339. The next prime is 11400430351. The reversal of 11400430340 is 4303400411.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 272712196 + 11127718144 = 16514^2 + 105488^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 124409 + ... + 195648.

It is an arithmetic number, because the mean of its divisors is an integer number (541058049).

Almost surely, 211400430340 is an apocalyptic number.

11400430340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11400430340 is an abundant number, since it is smaller than the sum of its proper divisors (14570356012).

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

11400430340 is a wasteful number, since it uses less digits than its factorization.

11400430340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320216 (or 320214 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 11400430340 its reverse (4303400411), we get a palindrome (15703830751).

The spelling of 11400430340 in words is "eleven billion, four hundred million, four hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 137 260 274 548 685 1370 1781 2740 3562 7124 8905 17810 35620 320057 640114 1280228 1600285 3200570 4160741 6401140 8321482 16642964 20803705 41607410 43847809 83214820 87695618 175391236 219239045 438478090 570021517 876956180 1140043034 2280086068 2850107585 5700215170 11400430340