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10343120134014 = 2332916693957341
BaseRepresentation
bin1001011010000011001000…
…0000000101111101111110
31100121210101211022001022000
42112200302000011331332
52323430202223242024
633555321440203130
72115160105353243
oct226406200057576
940553354261260
1010343120134014
113328546742208
1211b06960094a6
135a0476593b15
1427a876d975ca
1512e0aceaccc9
hex96832005f7e

10343120134014 has 64 divisors (see below), whose sum is σ = 23791540104000. Its totient is φ = 3326824932480.

The previous prime is 10343120134001. The next prime is 10343120134027. The reversal of 10343120134014 is 41043102134301.

10343120134014 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 312 + 0 + 1 + 340 + 1 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10343120134001) and next prime (10343120134027).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 634984 + ... + 4592324.

It is an arithmetic number, because the mean of its divisors is an integer number (371742814125).

Almost surely, 210343120134014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10343120134014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11895770052000).

10343120134014 is an abundant number, since it is smaller than the sum of its proper divisors (13448419969986).

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

10343120134014 is a wasteful number, since it uses less digits than its factorization.

10343120134014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3959050 (or 3959044 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10343120134014 its reverse (41043102134301), we get a palindrome (51386222268315).

The spelling of 10343120134014 in words is "ten trillion, three hundred forty-three billion, one hundred twenty million, one hundred thirty-four thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 1669 3338 5007 10014 15021 30042 45063 48401 90126 96802 145203 290406 435609 871218 1306827 2613654 3957341 7914682 11872023 23744046 35616069 71232138 106848207 114762889 213696414 229525778 344288667 688577334 1032866001 2065732002 3098598003 6197196006 6604802129 13209604258 19814406387 39628812774 59443219161 118886438322 178329657483 191539261741 356659314966 383078523482 574617785223 1149235570446 1723853355669 3447706711338 5171560067007 10343120134014