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1340542134414 = 2357997395231
BaseRepresentation
bin10011100000011110100…
…010011010100010001110
311202011011200112021100000
4103200132202122202032
5133430412241300124
62503500410145130
7165564612064110
oct23403642324216
94664150467300
101340542134414
114775800a58aa
12197980a221a6
1399549594ca2
1448c4db593b0
1524d0d2e96c9
hex1381e89a88e

1340542134414 has 96 divisors (see below), whose sum is σ = 3445841258496. Its totient is φ = 382626905760.

The previous prime is 1340542134413. The next prime is 1340542134433. The reversal of 1340542134414 is 4144312450431.

It is a happy number.

1340542134414 is a `hidden beast` number, since 1 + 3 + 40 + 542 + 1 + 34 + 41 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340542134413) 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, 3194179 + ... + 3589409.

It is an arithmetic number, because the mean of its divisors is an integer number (35894179776).

Almost surely, 21340542134414 is an apocalyptic number.

1340542134414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340542134414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722920629248).

1340542134414 is an abundant number, since it is smaller than the sum of its proper divisors (2105299124082).

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

1340542134414 is an equidigital number, since it uses as much as digits as its factorization.

1340542134414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396252 (or 396240 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 1340542134414 its reverse (4144312450431), we get a palindrome (5484854584845).

The spelling of 1340542134414 in words is "one trillion, three hundred forty billion, five hundred forty-two million, one hundred thirty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 997 1134 1701 1994 2991 3402 5982 6979 8973 13958 17946 20937 26919 41874 53838 62811 80757 125622 161514 188433 242271 376866 395231 484542 565299 790462 1130598 1185693 1695897 2371386 2766617 3391794 3557079 5533234 7114158 8299851 10671237 16599702 21342474 24899553 32013711 49799106 64027422 74698659 96041133 149397318 192082266 224095977 394045307 448191954 672287931 788090614 1182135921 1344575862 2364271842 2758317149 3546407763 5516634298 7092815526 8274951447 10639223289 16549902894 21278446578 24824854341 31917669867 49649708682 63835339734 74474563023 95753009601 148949126046 191506019202 223423689069 446847378138 670271067207 1340542134414