Search a number
-
+
1340312012000 = 25531325775231
BaseRepresentation
bin10011100000010000110…
…100100100010011100000
311202010120122111211201122
4103200100310210103200
5133424424333341000
62503421505551412
7165556116061223
oct23402064442340
94663518454648
101340312012000
11477472209495
12197917945568
13995109c2090
1448c2b3755ba
1524ce7ee0085
hex13810d244e0

1340312012000 has 96 divisors (see below), whose sum is σ = 3546465721344. Its totient is φ = 494884416000.

The previous prime is 1340312011979. The next prime is 1340312012027. The reversal of 1340312012000 is 2102130431.

It is a super-2 number, since 2×13403120120002 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1340312012000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12835616 + ... + 12939615.

It is an arithmetic number, because the mean of its divisors is an integer number (36942351264).

Almost surely, 21340312012000 is an apocalyptic number.

1340312012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1340312012000 is an abundant number, since it is smaller than the sum of its proper divisors (2206153709344).

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

1340312012000 is a wasteful number, since it uses less digits than its factorization.

1340312012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25775269 (or 25775251 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1340312012000 its reverse (2102130431), we get a palindrome (1342414142431).

The spelling of 1340312012000 in words is "one trillion, three hundred forty billion, three hundred twelve million, twelve thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1625 2000 2080 2600 3250 4000 5200 6500 10400 13000 26000 52000 25775231 51550462 103100924 128876155 206201848 257752310 335078003 412403696 515504620 644380775 670156006 824807392 1031009240 1288761550 1340312012 1675390015 2062018480 2577523100 2680624024 3221903875 3350780030 4124036960 5155046200 5361248048 6443807750 6701560060 8376950075 10310092400 10722496096 12887615500 13403120120 16753900150 20620184800 25775231000 26806240240 33507800300 41884750375 51550462000 53612480480 67015600600 83769500750 103100924000 134031201200 167539001500 268062402400 335078003000 670156006000 1340312012000