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1144231320 = 2335139181379
BaseRepresentation
bin100010000110011…
…1001010110011000
32221202001222021210
41010030321112120
54320410400240
6305312503120
740232543241
oct10414712630
92852058253
101144231320
11537985a21
1227b24aaa0
1315309946b
14abd73cc8
156a6c1780
hex44339598

1144231320 has 128 divisors (see below), whose sum is σ = 3485664000. Its totient is φ = 300464640.

The previous prime is 1144231313. The next prime is 1144231379. The reversal of 1144231320 is 231324411.

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 31 ways as a sum of consecutive naturals, for example, 3018891 + ... + 3019269.

It is an arithmetic number, because the mean of its divisors is an integer number (27231750).

Almost surely, 21144231320 is an apocalyptic number.

1144231320 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 1144231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742832000).

1144231320 is an abundant number, since it is smaller than the sum of its proper divisors (2341432680).

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

1144231320 is a wasteful number, since it uses less digits than its factorization.

1144231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1144231320 is about 33826.4884373179. The cubic root of 1144231320 is about 1045.9347938299.

Adding to 1144231320 its reverse (231324411), we get a palindrome (1375555731).

The spelling of 1144231320 in words is "one billion, one hundred forty-four million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 181 278 362 379 417 543 556 695 724 758 834 905 1086 1112 1137 1390 1448 1516 1668 1810 1895 2085 2172 2274 2715 2780 3032 3336 3620 3790 4170 4344 4548 5430 5560 5685 7240 7580 8340 9096 10860 11370 15160 16680 21720 22740 25159 45480 50318 52681 68599 75477 100636 105362 125795 137198 150954 158043 201272 205797 210724 251590 263405 274396 301908 316086 342995 377385 411594 421448 503180 526810 548792 603816 632172 685990 754770 790215 823188 1006360 1028985 1053620 1264344 1371980 1509540 1580430 1646376 2057970 2107240 2743960 3019080 3160860 4115940 6321720 8231880 9535261 19070522 28605783 38141044 47676305 57211566 76282088 95352610 114423132 143028915 190705220 228846264 286057830 381410440 572115660 1144231320