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1340344445310 = 2325131960294397
BaseRepresentation
bin10011100000010010110…
…000010010100101111110
311202010122220112121212100
4103200102300102211332
5133430011134222220
62503425025045530
7165556661543043
oct23402260224576
94663586477770
101340344445310
11477489551082
121979267868a6
13995176397a0
1448c317b91ca
1524ceac99d90
hex13812c1297e

1340344445310 has 96 divisors (see below), whose sum is σ = 3950488956960. Its totient is φ = 312566148864.

The previous prime is 1340344445233. The next prime is 1340344445311. The reversal of 1340344445310 is 135444430431.

1340344445310 is a `hidden beast` number, since 1 + 3 + 40 + 3 + 44 + 44 + 531 + 0 = 666.

It is a super-2 number, since 2×13403444453102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340344445311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30124969 + ... + 30169428.

It is an arithmetic number, because the mean of its divisors is an integer number (41150926635).

Almost surely, 21340344445310 is an apocalyptic number.

1340344445310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1340344445310 is an abundant number, since it is smaller than the sum of its proper divisors (2610144511650).

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

1340344445310 is a wasteful number, since it uses less digits than its factorization.

1340344445310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60294442 (or 60294439 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 1340344445310 its reverse (135444430431), we get a palindrome (1475788875741).

The spelling of 1340344445310 in words is "one trillion, three hundred forty billion, three hundred forty-four million, four hundred forty-five thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 65 78 90 95 114 117 130 171 190 195 234 247 285 342 390 494 570 585 741 855 1170 1235 1482 1710 2223 2470 3705 4446 7410 11115 22230 60294397 120588794 180883191 301471985 361766382 542649573 602943970 783827161 904415955 1085299146 1145593543 1567654322 1808831910 2291187086 2351481483 2713247865 3436780629 3919135805 4702962966 5426495730 5727967715 6873561258 7054444449 7838271610 10310341887 11455935430 11757407415 14108888898 14892716059 17183903145 20620683774 23514814830 29785432118 34367806290 35272222245 44678148177 51551709435 70544444490 74463580295 89356296354 103103418870 134034444531 148927160590 223390740885 268068889062 446781481770 670172222655 1340344445310