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5040440405 = 5711131007081
BaseRepresentation
bin1001011000110111…
…10000010001010101
3111000021110220100222
410230123300101111
540310323043110
62152054044125
7235623015350
oct45433602125
914007426328
105040440405
112157219530
12b88049645
1362434aa20
1435b5cb297
151e7793c55
hex12c6f0455

5040440405 has 32 divisors (see below), whose sum is σ = 8121109248. Its totient is φ = 2900390400.

The previous prime is 5040440401. The next prime is 5040440413.

5040440405 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5040440405 - 22 = 5040440401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5040440401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498536 + ... + 508545.

It is an arithmetic number, because the mean of its divisors is an integer number (253784664).

Almost surely, 25040440405 is an apocalyptic number.

5040440405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5040440405 is a deficient number, since it is larger than the sum of its proper divisors (3080668843).

5040440405 is a wasteful number, since it uses less digits than its factorization.

5040440405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007117.

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 5040440405 is about 70996.0590807687. The cubic root of 5040440405 is about 1714.5737144819.

It can be divided in two parts, 50404 and 40405, that added together give a palindrome (90809).

The spelling of 5040440405 in words is "five billion, forty million, four hundred forty thousand, four hundred five".

Divisors: 1 5 7 11 13 35 55 65 77 91 143 385 455 715 1001 5005 1007081 5035405 7049567 11077891 13092053 35247835 55389455 65460265 77545237 91644371 144012583 387726185 458221855 720062915 1008088081 5040440405