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1144079118 = 2327133122531
BaseRepresentation
bin100010000110001…
…0100001100001110
32221201210020111200
41010030110030032
54320341012433
6305305330330
740231340430
oct10414241416
92851706450
101144079118
11537891636
1227b1969a6
131530450c0
14abd34650
156a691613
hex4431430e

1144079118 has 96 divisors (see below), whose sum is σ = 3149432832. Its totient is φ = 291988800.

The previous prime is 1144079117. The next prime is 1144079159. The reversal of 1144079118 is 8119704411.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144079117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39513 + ... + 62043.

It is an arithmetic number, because the mean of its divisors is an integer number (32806592).

Almost surely, 21144079118 is an apocalyptic number.

1144079118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144079118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574716416).

1144079118 is an abundant number, since it is smaller than the sum of its proper divisors (2005353714).

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

1144079118 is a wasteful number, since it uses less digits than its factorization.

1144079118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22590 (or 22587 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 1144079118 is about 33824.2386167080. The cubic root of 1144079118 is about 1045.8884161369. Note that the first 3 decimals are identical.

The spelling of 1144079118 in words is "one billion, one hundred forty-four million, seventy-nine thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 31 39 42 62 63 78 91 93 117 126 182 186 217 234 273 279 403 434 546 558 651 806 819 1209 1302 1638 1953 2418 2821 3627 3906 5642 7254 8463 16926 22531 25389 45062 50778 67593 135186 157717 202779 292903 315434 405558 473151 585806 698461 878709 946302 1396922 1419453 1757418 2050321 2095383 2636127 2838906 4100642 4190766 4889227 5272254 6150963 6286149 9079993 9778454 12301926 12572298 14667681 18159986 18452889 27239979 29335362 36905778 44003043 54479958 63559951 81719937 88006086 127119902 163439874 190679853 381359706 572039559 1144079118