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12315411240 = 23351143121647
BaseRepresentation
bin10110111100000111…
…00100001100101000
31011210021121201020020
423132003210030220
5200210221124430
65354014000440
7614121161016
oct133603441450
934707551206
1012315411240
11524a801820
1224784a6120
1312135ca1b2
1484b8838b6
154c12c5b10
hex2de0e4328

12315411240 has 128 divisors (see below), whose sum is σ = 40400363520. Its totient is φ = 2978489600.

The previous prime is 12315411233. The next prime is 12315411289. The reversal of 12315411240 is 4211451321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12315411240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 558097 + ... + 579743.

It is an arithmetic number, because the mean of its divisors is an integer number (315627840).

Almost surely, 212315411240 is an apocalyptic number.

12315411240 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 12315411240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20200181760).

12315411240 is an abundant number, since it is smaller than the sum of its proper divisors (28084952280).

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

12315411240 is a wasteful number, since it uses less digits than its factorization.

12315411240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22103 (or 22099 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 12315411240 its reverse (4211451321), we get a palindrome (16526862561).

The spelling of 12315411240 in words is "twelve billion, three hundred fifteen million, four hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 431 440 660 862 1293 1320 1724 2155 2586 3448 4310 4741 5172 6465 8620 9482 10344 12930 14223 17240 18964 21647 23705 25860 28446 37928 43294 47410 51720 56892 64941 71115 86588 94820 108235 113784 129882 142230 173176 189640 216470 238117 259764 284460 324705 432940 476234 519528 568920 649410 714351 865880 952468 1190585 1298820 1428702 1904936 2381170 2597640 2857404 3571755 4762340 5714808 7143510 9329857 9524680 14287020 18659714 27989571 28574040 37319428 46649285 55979142 74638856 93298570 102628427 111958284 139947855 186597140 205256854 223916568 279895710 307885281 373194280 410513708 513142135 559791420 615770562 821027416 1026284270 1119582840 1231541124 1539426405 2052568540 2463082248 3078852810 4105137080 6157705620 12315411240