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1040135354005 = 5112931142314783
BaseRepresentation
bin11110010001011001110…
…01011111011010010101
310200102202211011122202211
433020230321133122111
5114020144122312010
62113455342233421
7135101344426636
oct17105471373225
93612684148684
101040135354005
11371134322450
12149703285871
13771133bc817
14384b29a988d
151c0ca08808a
hexf22ce5f695

1040135354005 has 64 divisors (see below), whose sum is σ = 1455142993920. Its totient is φ = 706272134400.

The previous prime is 1040135353991. The next prime is 1040135354017. The reversal of 1040135354005 is 5004535310401.

It is not a de Polignac number, because 1040135354005 - 219 = 1040134829717 is a prime.

It is a super-2 number, since 2×10401353540052 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

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 63 ways as a sum of consecutive naturals, for example, 70352844 + ... + 70367626.

It is an arithmetic number, because the mean of its divisors is an integer number (22736609280).

Almost surely, 21040135354005 is an apocalyptic number.

It is an amenable number.

1040135354005 is a deficient number, since it is larger than the sum of its proper divisors (415007639915).

1040135354005 is a wasteful number, since it uses less digits than its factorization.

1040135354005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16282.

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 1040135354005 in words is "one trillion, forty billion, one hundred thirty-five million, three hundred fifty-four thousand, five".

Divisors: 1 5 11 29 31 55 145 155 319 341 899 1423 1595 1705 4495 7115 9889 14783 15653 41267 44113 49445 73915 78265 162613 206335 220565 428707 453937 458273 485243 813065 1279277 2143535 2269685 2291365 2426215 4715777 5041003 6396385 13289917 14072047 21036209 23578885 25205015 66449585 70360235 105181045 146189087 231398299 610050061 652122479 730945435 1156991495 3050250305 3260612395 6710550671 7173347269 18911551891 33552753355 35866736345 94557759455 208027070801 1040135354005