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12334313040 = 2435723319211
BaseRepresentation
bin10110111110010111…
…01010111001010000
31011211121012000121220
423133023222321100
5200230041004130
65355531045040
7614440634220
oct133713527120
934747160556
1012334313040
11525a441a45
1224828a0780
1312174b77aa
148501a4080
154c2cab410
hex2df2eae50

12334313040 has 160 divisors (see below), whose sum is σ = 45598795776. Its totient is φ = 2696686080.

The previous prime is 12334313021. The next prime is 12334313051. The reversal of 12334313040 is 4031343321.

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 12334313040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120966 + ... + 198245.

Almost surely, 212334313040 is an apocalyptic number.

12334313040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12334313040 is an abundant number, since it is smaller than the sum of its proper divisors (33264482736).

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

12334313040 is a wasteful number, since it uses less digits than its factorization.

12334313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319257 (or 319251 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12334313040 its reverse (4031343321), we get a palindrome (16365656361).

The spelling of 12334313040 in words is "twelve billion, three hundred thirty-four million, three hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 35 40 42 46 48 56 60 69 70 80 84 92 105 112 115 120 138 140 161 168 184 210 230 240 276 280 322 336 345 368 420 460 483 552 560 644 690 805 840 920 966 1104 1288 1380 1610 1680 1840 1932 2415 2576 2760 3220 3864 4830 5520 6440 7728 9660 12880 19320 38640 319211 638422 957633 1276844 1596055 1915266 2234477 2553688 3192110 3830532 4468954 4788165 5107376 6384220 6703431 7341853 7661064 8937908 9576330 11172385 12768440 13406862 14683706 15322128 17875816 19152660 22025559 22344770 25536880 26813724 29367412 33517155 35751632 36709265 38305320 44051118 44689540 51392971 53627448 58734824 67034310 73418530 76610640 88102236 89379080 102785942 107254896 110127795 117469648 134068620 146837060 154178913 176204472 178758160 205571884 220255590 256964855 268137240 293674120 308357826 352408944 411143768 440511180 513929710 536274480 587348240 616715652 770894565 822287536 881022360 1027859420 1233431304 1541789130 1762044720 2055718840 2466862608 3083578260 4111437680 6167156520 12334313040