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1340404402320 = 243251861672781
BaseRepresentation
bin10011100000010110010…
…101000000100010010000
311202010211002100202102100
4103200112111000202100
5133430122011333240
62503435010120400
7165561320300604
oct23402625004220
94663732322370
101340404402320
1147750a382725
12197942880100
1399526b9ccc9
1448c39745504
1524d0118ee30
hex13816540890

1340404402320 has 60 divisors (see below), whose sum is σ = 4501524786876. Its totient is φ = 357441173760.

The previous prime is 1340404402301. The next prime is 1340404402327. The reversal of 1340404402320 is 232044040431.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 477110695824 + 863293706496 = 690732^2 + 929136^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (1340404402327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 930835671 + ... + 930837110.

Almost surely, 21340404402320 is an apocalyptic number.

1340404402320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1340404402320 is an abundant number, since it is smaller than the sum of its proper divisors (3161120384556).

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

1340404402320 is a wasteful number, since it uses less digits than its factorization.

1340404402320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861672800 (or 1861672791 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 1340404402320 its reverse (232044040431), we get a palindrome (1572448442751).

The spelling of 1340404402320 in words is "one trillion, three hundred forty billion, four hundred four million, four hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1861672781 3723345562 5585018343 7446691124 9308363905 11170036686 14893382248 16755055029 18616727810 22340073372 27925091715 29786764496 33510110058 37233455620 44680146744 55850183430 67020220116 74466911240 83775275145 89360293488 111700366860 134040440232 148933822480 167550550290 223400733720 268080880464 335101100580 446801467440 670202201160 1340404402320