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1114311144 = 233151307481
BaseRepresentation
bin100001001101011…
…0000100111101000
32212122202212112010
41002122300213220
54240230424034
6302323315520
736420326352
oct10232604750
92778685463
101114311144
11521aaa501
1227121bba0
13149b2190b
14a7dc60d2
1567c613e9
hex426b09e8

1114311144 has 32 divisors (see below), whose sum is σ = 2804235840. Its totient is φ = 368976000.

The previous prime is 1114311139. The next prime is 1114311157. The reversal of 1114311144 is 4411134111.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1114311144.

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, 150117 + ... + 157364.

It is an arithmetic number, because the mean of its divisors is an integer number (87632370).

Almost surely, 21114311144 is an apocalyptic number.

It is an amenable number.

1114311144 is an abundant number, since it is smaller than the sum of its proper divisors (1689924696).

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

1114311144 is a wasteful number, since it uses less digits than its factorization.

1114311144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307641 (or 307637 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The square root of 1114311144 is about 33381.2993156348. The cubic root of 1114311144 is about 1036.7375402355.

Adding to 1114311144 its reverse (4411134111), we get a palindrome (5525445255).

It can be divided in two parts, 111431 and 1144, that added together give a triangular number (112575 = T474).

The spelling of 1114311144 in words is "one billion, one hundred fourteen million, three hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 151 302 453 604 906 1208 1812 3624 307481 614962 922443 1229924 1844886 2459848 3689772 7379544 46429631 92859262 139288893 185718524 278577786 371437048 557155572 1114311144