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1034142215505 = 35775729634391
BaseRepresentation
bin11110000110001111010…
…11011110110101010001
310122212022011000200022020
433003013223132311101
5113420410401344010
62111024532402053
7134500002536640
oct17030753366521
93585264020266
101034142215505
11369639358823
12148510176329
1376699886c19
14380a4a65357
151bd78d58470
hexf0c7aded51

1034142215505 has 64 divisors (see below), whose sum is σ = 1894571347968. Its totient is φ = 471859395840.

The previous prime is 1034142215503. The next prime is 1034142215539. The reversal of 1034142215505 is 5055122414301.

It is not a de Polignac number, because 1034142215505 - 21 = 1034142215503 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1034142215503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 235511860 + ... + 235516250.

It is an arithmetic number, because the mean of its divisors is an integer number (29602677312).

Almost surely, 21034142215505 is an apocalyptic number.

1034142215505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1034142215505 is a deficient number, since it is larger than the sum of its proper divisors (860429132463).

1034142215505 is a wasteful number, since it uses less digits than its factorization.

1034142215505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8126.

The product of its (nonzero) digits is 24000, while the sum is 33.

Adding to 1034142215505 its reverse (5055122414301), we get a palindrome (6089264629806).

The spelling of 1034142215505 in words is "one trillion, thirty-four billion, one hundred forty-two million, two hundred fifteen thousand, five hundred five".

Divisors: 1 3 5 7 15 21 35 105 757 2271 2963 3785 4391 5299 8889 11355 13173 14815 15897 20741 21955 26495 30737 44445 62223 65865 79485 92211 103705 153685 311115 461055 2242991 3323987 6728973 9971961 11214955 13010533 15700937 16619935 23267909 33644865 39031599 47102811 49859805 65052665 69803727 78504685 91073731 116339545 195157995 235514055 273221193 349018635 455368655 1366105965 9848973481 29546920443 49244867405 68942814367 147734602215 206828443101 344714071835 1034142215505