Search a number
-
+
12318311396340 = 22335172911319281
BaseRepresentation
bin1011001101000001010010…
…0100110011001111110100
31121121121201022010110001000
42303100110210303033310
53103310400204140330
642110542032003300
72410653145153125
oct263202444631764
947547638113030
1012318311396340
113a1a191711204
12146b455690530
136b47c5109b51
143082d0a4a04c
15165662e98560
hexb34149333f4

12318311396340 has 96 divisors (see below), whose sum is σ = 38325880897920. Its totient is φ = 3284690572800.

The previous prime is 12318311396333. The next prime is 12318311396387. The reversal of 12318311396340 is 4369311381321.

12318311396340 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 8 + 3 + 1 + 1 + 3 + 9 + 634 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 8677500 + ... + 9996780.

It is an arithmetic number, because the mean of its divisors is an integer number (399227926020).

Almost surely, 212318311396340 is an apocalyptic number.

12318311396340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12318311396340 is an abundant number, since it is smaller than the sum of its proper divisors (26007569501580).

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

12318311396340 is a wasteful number, since it uses less digits than its factorization.

12318311396340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336590 (or 1336582 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 12318311396340 in words is "twelve trillion, three hundred eighteen billion, three hundred eleven million, three hundred ninety-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 17291 34582 51873 69164 86455 103746 155619 172910 207492 259365 311238 345820 466857 518730 622476 778095 933714 1037460 1319281 1556190 1867428 2334285 2638562 3112380 3957843 4668570 5277124 6596405 7915686 9337140 11873529 13192810 15831372 19789215 23747058 26385620 35620587 39578430 47494116 59367645 71241174 79156860 118735290 142482348 178102935 237470580 356205870 712411740 22811687771 45623375542 68435063313 91246751084 114058438855 136870126626 205305189939 228116877710 273740253252 342175316565 410610379878 456233755420 615915569817 684350633130 821220759756 1026525949695 1231831139634 1368701266260 2053051899390 2463662279268 3079577849085 4106103798780 6159155698170 12318311396340