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1114120144 = 24296133917
BaseRepresentation
bin100001001101000…
…0001111111010000
32212122102011112001
41002122001333100
54240203321034
6302315243344
736415602454
oct10232017720
92778364461
101114120144
11521989a55
12271149554
13149a859b7
14a7d76664
1567c24a14
hex42681fd0

1114120144 has 40 divisors (see below), whose sum is σ = 2237256360. Its totient is φ = 536836608.

The previous prime is 1114120097. The next prime is 1114120181. The reversal of 1114120144 is 4410214111.

It can be written as a sum of positive squares in 4 ways, for example, as 47444544 + 1066675600 = 6888^2 + 32660^2 .

It is a congruent number.

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, 282474 + ... + 286390.

It is an arithmetic number, because the mean of its divisors is an integer number (55931409).

Almost surely, 21114120144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114120144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118628180).

1114120144 is an abundant number, since it is smaller than the sum of its proper divisors (1123136216).

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

1114120144 is a wasteful number, since it uses less digits than its factorization.

1114120144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4567 (or 4561 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 1114120144 is about 33378.4383097832. The cubic root of 1114120144 is about 1036.6783023867.

Adding to 1114120144 its reverse (4410214111), we get a palindrome (5524334255).

The spelling of 1114120144 in words is "one billion, one hundred fourteen million, one hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 613 1226 2452 3917 4904 7834 9808 15668 17777 31336 35554 62672 71108 113593 142216 227186 284432 454372 908744 1817488 2401121 4802242 9604484 19208968 38417936 69632509 139265018 278530036 557060072 1114120144