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1314676704345 = 351719351777153
BaseRepresentation
bin10011001000011000110…
…101101000010001011001
311122200102002011021122120
4103020120311220101121
5133014424214014340
62443542032211453
7163660625415024
oct23103065502131
94580362137576
101314676704345
114676077a9414
12192962699b89
1396c8697a194
14478b88941bb
15242e76784d0
hex13218d68459

1314676704345 has 64 divisors (see below), whose sum is σ = 2345135950080. Its totient is φ = 624997859328.

The previous prime is 1314676704293. The next prime is 1314676704347. The reversal of 1314676704345 is 5434076764131.

It is a happy number.

It is not a de Polignac number, because 1314676704345 - 210 = 1314676703321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (1314676704347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17001289 + ... + 17078441.

It is an arithmetic number, because the mean of its divisors is an integer number (36642749220).

Almost surely, 21314676704345 is an apocalyptic number.

1314676704345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1314676704345 is a deficient number, since it is larger than the sum of its proper divisors (1030459245735).

1314676704345 is a wasteful number, since it uses less digits than its factorization.

1314676704345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80714.

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 1314676704345 in words is "one trillion, three hundred fourteen billion, six hundred seventy-six million, seven hundred four thousand, three hundred forty-five".

Divisors: 1 3 5 15 17 19 51 57 85 95 255 285 323 969 1615 3517 4845 10551 17585 52755 59789 66823 77153 179367 200469 231459 298945 334115 385765 896835 1002345 1135991 1157295 1311601 1465907 3407973 3934803 4397721 5679955 6558005 7329535 17039865 19674015 21988605 24920419 74761257 124602095 271347101 373806285 814041303 1356735505 4070206515 4612900717 5155594919 13838702151 15466784757 23064503585 25777974595 69193510755 77333923785 87645113623 262935340869 438225568115 1314676704345