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12326331640040 = 23511471667357559
BaseRepresentation
bin1011001101011111001010…
…0111100110100011101000
31121122101102020122001001222
42303113302213212203220
53103423311344440130
642114345533401212
72411355663125615
oct263276247464350
947571366561058
1012326331640040
113a22627955a90
121470b13639208
136b54a28ba292
14308851ca350c
15165982141ce5
hexb35f29e68e8

12326331640040 has 128 divisors (see below), whose sum is σ = 30917898547200. Its totient is φ = 4384290382080.

The previous prime is 12326331640037. The next prime is 12326331640121. The reversal of 12326331640040 is 4004613362321.

It is a super-2 number, since 2×123263316400402 (a number of 27 digits) contains 22 as substring.

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, 34294781 + ... + 34652339.

It is an arithmetic number, because the mean of its divisors is an integer number (241546082400).

Almost surely, 212326331640040 is an apocalyptic number.

12326331640040 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 12326331640040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15458949273600).

12326331640040 is an abundant number, since it is smaller than the sum of its proper divisors (18591566907160).

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

12326331640040 is a wasteful number, since it uses less digits than its factorization.

12326331640040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359295 (or 359291 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

The spelling of 12326331640040 in words is "twelve trillion, three hundred twenty-six billion, three hundred thirty-one million, six hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 188 220 235 376 440 470 517 940 1034 1667 1880 2068 2585 3334 4136 5170 6668 8335 10340 13336 16670 18337 20680 33340 36674 66680 73348 78349 91685 146696 156698 183370 313396 357559 366740 391745 626792 715118 733480 783490 861839 1430236 1566980 1723678 1787795 2860472 3133960 3447356 3575590 3933149 4309195 6894712 7151180 7866298 8618390 14302360 15732596 16805273 17236780 19665745 31465192 33610546 34473560 39331490 67221092 78662980 84026365 134442184 157325960 168052730 184858003 336105460 369716006 596050853 672210920 739432012 924290015 1192101706 1478864024 1848580030 2384203412 2980254265 3697160060 4768406824 5960508530 6556559383 7394320120 11921017060 13113118766 23842034120 26226237532 28014390091 32782796915 52452475064 56028780182 65565593830 112057560364 131131187660 140071950455 224115120728 262262375320 280143900910 308158291001 560287801820 616316582002 1120575603640 1232633164004 1540791455005 2465266328008 3081582910010 6163165820020 12326331640040