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1340310776040 = 233253723085489
BaseRepresentation
bin10011100000010000101…
…111110110100011101000
311202010120120012001022100
4103200100233312203220
5133424424024313130
62503421423253400
7165556102422645
oct23402057664350
94663516161270
101340310776040
11477471544935
1219791744a260
139951067b642
1448c2b132dcc
1524ce7d48c60
hex13810bf68e8

1340310776040 has 48 divisors (see below), whose sum is σ = 4356010023300. Its totient is φ = 357416206848.

The previous prime is 1340310776033. The next prime is 1340310776059. The reversal of 1340310776040 is 406770130431.

1340310776040 is a `hidden beast` number, since 1 + 3 + 40 + 3 + 1 + 0 + 7 + 7 + 604 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1197304277796 + 143006498244 = 1094214^2 + 378162^2 .

It is a super-3 number, since 3×13403107760403 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1340310775986 and 1340310776004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1861542385 + ... + 1861543104.

Almost surely, 21340310776040 is an apocalyptic number.

1340310776040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1340310776040 is an abundant number, since it is smaller than the sum of its proper divisors (3015699247260).

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

1340310776040 is a wasteful number, since it uses less digits than its factorization.

1340310776040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3723085506 (or 3723085499 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 1340310776040 in words is "one trillion, three hundred forty billion, three hundred ten million, seven hundred seventy-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3723085489 7446170978 11169256467 14892341956 18615427445 22338512934 29784683912 33507769401 37230854890 44677025868 55846282335 67015538802 74461709780 89354051736 111692564670 134031077604 148923419560 167538847005 223385129340 268062155208 335077694010 446770258680 670155388020 1340310776040