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1144113104 = 242329472281
BaseRepresentation
bin100010000110001…
…1100011111010000
32221201211222010102
41010030130133100
54320343104404
6305310151532
740231541501
oct10414343720
92851758112
101144113104
11537905122
1227b1b25a8
13153057704
14abd42ba8
156a69b71e
hex4431c7d0

1144113104 has 80 divisors (see below), whose sum is σ = 2444843520. Its totient is φ = 516848640.

The previous prime is 1144113097. The next prime is 1144113119. The reversal of 1144113104 is 4013114411.

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 15 ways as a sum of consecutive naturals, for example, 500444 + ... + 502724.

It is an arithmetic number, because the mean of its divisors is an integer number (30560544).

Almost surely, 21144113104 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 1144113104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222421760).

1144113104 is an abundant number, since it is smaller than the sum of its proper divisors (1300730416).

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

1144113104 is a wasteful number, since it uses less digits than its factorization.

1144113104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 1144113104 is about 33824.7410041821. The cubic root of 1144113104 is about 1045.8987724171.

Adding to 1144113104 its reverse (4013114411), we get a palindrome (5157227515).

The spelling of 1144113104 in words is "one billion, one hundred forty-four million, one hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 8 16 23 29 46 47 58 92 94 116 184 188 232 368 376 464 667 752 1081 1334 1363 2162 2281 2668 2726 4324 4562 5336 5452 8648 9124 10672 10904 17296 18248 21808 31349 36496 52463 62698 66149 104926 107207 125396 132298 209852 214414 250792 264596 419704 428828 501584 529192 839408 857656 1058384 1521427 1715312 2465761 3042854 3109003 4931522 6085708 6218006 9863044 12171416 12436012 19726088 24342832 24872024 39452176 49744048 71507069 143014138 286028276 572056552 1144113104