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1004335320414 = 2319283224313879
BaseRepresentation
bin11101001110101110000…
…11001100110101011110
310120000100212002112001210
432213113003030311132
5112423334320223124
62045215115245250
7132363236240106
oct16472703146536
93500325075053
101004335320414
11357a33118328
12142791a49826
13739295038aa
1436878126206
151b1d2175a29
hexe9d70ccd5e

1004335320414 has 64 divisors (see below), whose sum is σ = 2122960435200. Its totient is φ = 315874160352.

The previous prime is 1004335320409. The next prime is 1004335320473. The reversal of 1004335320414 is 4140235334001.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 72356727 + ... + 72370605.

It is an arithmetic number, because the mean of its divisors is an integer number (33171256800).

Almost surely, 21004335320414 is an apocalyptic number.

1004335320414 is an abundant number, since it is smaller than the sum of its proper divisors (1118625114786).

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

1004335320414 is a wasteful number, since it uses less digits than its factorization.

1004335320414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16429.

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 1004335320414 in words is "one trillion, four billion, three hundred thirty-five million, three hundred twenty thousand, four hundred fourteen".

Divisors: 1 2 3 6 19 38 57 114 283 566 849 1698 2243 4486 5377 6729 10754 13458 13879 16131 27758 32262 41637 42617 83274 85234 127851 255702 263701 527402 634769 791103 1269538 1582206 1904307 3808614 3927757 7855514 11783271 12060611 23566542 24121222 31130597 36181833 62261194 72363666 74627383 93391791 149254766 186783582 223882149 447764298 591481343 1182962686 1774444029 3548888058 8809958951 17619917902 26429876853 52859753706 167389220069 334778440138 502167660207 1004335320414