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1131243344 = 247115979197
BaseRepresentation
bin100001101101101…
…0110011101010000
32220211122010010122
41003123112131100
54304044241334
6304130245412
740014260360
oct10333263520
92824563118
101131243344
11530614960
12276a26868
1315049c87a
14aa3529a0
15694a832e
hex436d6750

1131243344 has 160 divisors (see below), whose sum is σ = 2828390400. Its totient is φ = 425617920.

The previous prime is 1131243331. The next prime is 1131243349. The reversal of 1131243344 is 4433421311.

1131243344 = T5312 + T5313 + ... + T5390.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131243349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5742254 + ... + 5742450.

It is an arithmetic number, because the mean of its divisors is an integer number (17677440).

Almost surely, 21131243344 is an apocalyptic number.

1131243344 is a gapful number since it is divisible by the number (14) 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 1131243344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414195200).

1131243344 is an abundant number, since it is smaller than the sum of its proper divisors (1697147056).

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

1131243344 is a wasteful number, since it uses less digits than its factorization.

1131243344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 355 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

The square root of 1131243344 is about 33633.9611702220. The cubic root of 1131243344 is about 1041.9623158012.

Adding to 1131243344 its reverse (4433421311), we get a palindrome (5564664655).

The spelling of 1131243344 in words is "one billion, one hundred thirty-one million, two hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 59 77 79 88 112 118 154 158 176 197 236 308 316 394 413 472 553 616 632 649 788 826 869 944 1106 1232 1264 1298 1379 1576 1652 1738 2167 2212 2596 2758 3152 3304 3476 4334 4424 4543 4661 5192 5516 6083 6608 6952 8668 8848 9086 9322 10384 11032 11623 12166 13904 15169 15563 17336 18172 18644 22064 23246 24332 30338 31126 32627 34672 36344 37288 46492 48664 51271 60676 62252 65254 72688 74576 81361 92984 97328 102542 108941 121352 124504 127853 130508 162722 171193 185968 205084 217882 242704 249008 255706 261016 325444 342386 358897 410168 435764 511412 522032 650888 684772 717794 820336 871528 894971 918217 1022824 1198351 1301776 1369544 1435588 1743056 1789942 1836434 2045648 2396702 2739088 2871176 3579884 3672868 4793404 5742352 6427519 7159768 7345736 9586808 10100387 12855038 14319536 14691472 19173616 20200774 25710076 40401548 51420152 70702709 80803096 102840304 141405418 161606192 282810836 565621672 1131243344