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1240400013012 = 2232374092276849
BaseRepresentation
bin10010000011001101100…
…110100010011011010100
311101120200121110102011200
4102003031212202123110
5130310314400404022
62345455405032500
7155421161101356
oct22031546423324
94346617412150
101240400013012
114390615198a6
12180493555730
138cc7a4b4754
144406dca10d6
15223eb889bac
hex120cd9a26d4

1240400013012 has 72 divisors (see below), whose sum is σ = 3228072393000. Its totient is φ = 401308121088.

The previous prime is 1240400013011. The next prime is 1240400013079. The reversal of 1240400013012 is 2103100040421.

1240400013012 is a `hidden beast` number, since 1 + 240 + 400 + 0 + 13 + 0 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 715117157316 + 525282855696 = 845646^2 + 724764^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240400013011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 593637 + ... + 1683212.

Almost surely, 21240400013012 is an apocalyptic number.

1240400013012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1240400013012 is an abundant number, since it is smaller than the sum of its proper divisors (1987672379988).

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

1240400013012 is a wasteful number, since it uses less digits than its factorization.

1240400013012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277305 (or 2277300 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1240400013012 its reverse (2103100040421), we get a palindrome (3343500053433).

The spelling of 1240400013012 in words is "one trillion, two hundred forty billion, four hundred million, thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 409 444 666 818 1227 1332 1636 2454 3681 4908 7362 14724 15133 30266 45399 60532 90798 136197 181596 272394 544788 2276849 4553698 6830547 9107396 13661094 20491641 27322188 40983282 81966564 84243413 168486826 252730239 336973652 505460478 758190717 931231241 1010920956 1516381434 1862462482 2793693723 3032762868 3724924964 5587387446 8381081169 11174774892 16762162338 33524324676 34455555917 68911111834 103366667751 137822223668 206733335502 310100003253 413466671004 620200006506 1240400013012