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1005143214355 = 57234153935647
BaseRepresentation
bin11101010000001110011…
…01000100100100010011
310120002110011021210012121
432220013031010210103
5112432013130324410
62045431215235111
7132422246232040
oct16500715044423
93502404253177
101005143214355
1135830815aa75
12142978518a97
1373a279bb847
14369135481c7
151b22d05b9da
hexea07344913

1005143214355 has 64 divisors (see below), whose sum is σ = 1474033655808. Its totient is φ = 642961059840.

The previous prime is 1005143214307. The next prime is 1005143214391. The reversal of 1005143214355 is 5534123415001.

It is not a de Polignac number, because 1005143214355 - 231 = 1002995730707 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1005143214355.

It is an unprimeable number.

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, 177993142 + ... + 177998788.

It is an arithmetic number, because the mean of its divisors is an integer number (23031775872).

Almost surely, 21005143214355 is an apocalyptic number.

1005143214355 is a deficient number, since it is larger than the sum of its proper divisors (468890441453).

1005143214355 is a wasteful number, since it uses less digits than its factorization.

1005143214355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11116.

The product of its (nonzero) digits is 36000, while the sum is 34.

Adding to 1005143214355 its reverse (5534123415001), we get a palindrome (6539266629356).

The spelling of 1005143214355 in words is "one trillion, five billion, one hundred forty-three million, two hundred fourteen thousand, three hundred fifty-five".

Divisors: 1 5 7 23 35 41 115 161 205 287 805 943 1435 4715 5393 5647 6601 26965 28235 33005 37751 39529 124039 129881 188755 197645 221113 231527 620195 649405 868273 909167 1105565 1157635 1547791 1620689 4341365 4545835 5085599 5325121 7738955 8103445 25427995 26625605 30454271 35599193 37275847 152271355 177995965 186379235 213179897 700448233 1065899485 1248625111 3502241165 4903137631 6243125555 8740375777 24515688155 28718377553 43701878885 143591887765 201028642871 1005143214355