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12404312340 = 2235743215973
BaseRepresentation
bin10111000110101101…
…01100100100010100
31012000110220100121120
423203112230210110
5200401000443330
65410511243540
7616250625630
oct134326544424
935013810546
1012404312340
115295a02502
1224a22195b0
131228b55bb4
148595c5dc0
154c8ed6c10
hex2e35ac914

12404312340 has 144 divisors (see below), whose sum is σ = 40640923008. Its totient is φ = 2769161472.

The previous prime is 12404312329. The next prime is 12404312357. The reversal of 12404312340 is 4321340421.

It is a self number, because there is not a number n which added to its sum of digits gives 12404312340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 768594 + ... + 784566.

It is an arithmetic number, because the mean of its divisors is an integer number (282228632).

Almost surely, 212404312340 is an apocalyptic number.

12404312340 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 12404312340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20320461504).

12404312340 is an abundant number, since it is smaller than the sum of its proper divisors (28236610668).

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

12404312340 is a wasteful number, since it uses less digits than its factorization.

12404312340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16078 (or 16033 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12404312340 its reverse (4321340421), we get a palindrome (16725652761).

The spelling of 12404312340 in words is "twelve billion, four hundred four million, three hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 60 70 84 86 105 129 140 172 210 215 258 301 420 430 516 602 645 860 903 1204 1290 1505 1806 1849 2580 3010 3612 3698 4515 5547 6020 7396 9030 9245 11094 12943 15973 18060 18490 22188 25886 27735 31946 36980 38829 47919 51772 55470 63892 64715 77658 79865 95838 110940 111811 129430 155316 159730 191676 194145 223622 239595 258860 319460 335433 388290 447244 479190 559055 670866 686839 776580 958380 1118110 1341732 1373678 1677165 2060517 2236220 2747356 3354330 3434195 4121034 4807873 6708660 6868390 8242068 9615746 10302585 13736780 14423619 19231492 20605170 24039365 28847238 29534077 41210340 48078730 57694476 59068154 72118095 88602231 96157460 118136308 144236190 147670385 177204462 206738539 288472380 295340770 354408924 413477078 443011155 590681540 620215617 826954156 886022310 1033692695 1240431234 1772044620 2067385390 2480862468 3101078085 4134770780 6202156170 12404312340