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1144334240 = 25572227643
BaseRepresentation
bin100010000110101…
…0010011110100000
32221202021012110122
41010031102132200
54320422143430
6305315015412
740233452300
oct10415223640
92852235418
101144334240
11537a46285
1227b29a568
1315310426a
14abd9d600
156a6e1ee5
hex443527a0

1144334240 has 144 divisors (see below), whose sum is σ = 3163642272. Its totient is φ = 390007296.

The previous prime is 1144334237. The next prime is 1144334251. The reversal of 1144334240 is 424334411.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1779359 + ... + 1780001.

It is an arithmetic number, because the mean of its divisors is an integer number (21969738).

Almost surely, 21144334240 is an apocalyptic number.

1144334240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581821136).

1144334240 is an abundant number, since it is smaller than the sum of its proper divisors (2019308032).

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

1144334240 is a wasteful number, since it uses less digits than its factorization.

1144334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 1144334240 is about 33828.0096961083. The cubic root of 1144334240 is about 1045.9661524022.

Adding to 1144334240 its reverse (424334411), we get a palindrome (1568668651).

The spelling of 1144334240 in words is "one billion, one hundred forty-four million, three hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 227 245 280 392 454 490 560 643 784 908 980 1120 1135 1286 1568 1589 1816 1960 2270 2572 3178 3215 3632 3920 4501 4540 5144 6356 6430 7264 7840 7945 9002 9080 10288 11123 12712 12860 15890 18004 18160 20576 22246 22505 25424 25720 31507 31780 36008 36320 44492 45010 50848 51440 55615 63014 63560 72016 88984 90020 102880 111230 126028 127120 144032 145961 157535 177968 180040 222460 252056 254240 291922 315070 355936 360080 444920 504112 583844 630140 720160 729805 889840 1008224 1021727 1167688 1260280 1459610 1779680 2043454 2335376 2520560 2919220 4086908 4670752 5041120 5108635 5838440 7152089 8173816 10217270 11676880 14304178 16347632 20434540 23353760 28608356 32695264 35760445 40869080 57216712 71520890 81738160 114433424 143041780 163476320 228866848 286083560 572167120 1144334240