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40138403882525 = 521317611069111409
BaseRepresentation
bin10010010000001011100110…
…10011100010011000011101
312021010012020101020201111122
421020011303103202120131
520230111422343220100
6221211154515500325
711311622031453224
oct1110056323423035
9167105211221448
1040138403882525
1111875668649563
1246031122b76a5
13195205c582c40
149ca9cdb43cbb
1549915a759985
hex2481734e261d

40138403882525 has 96 divisors (see below), whose sum is σ = 57738018592800. Its totient is φ = 27413854617600.

The previous prime is 40138403882519. The next prime is 40138403882537. The reversal of 40138403882525 is 52528830483104.

It is a happy number.

It can be written as a sum of positive squares in 48 ways, for example, as 39179863021924 + 958540860601 = 6259382^2 + 979051^2 .

It is not a de Polignac number, because 40138403882525 - 212 = 40138403878429 is a prime.

It is a super-2 number, since 2×401384038825252 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360224021 + ... + 360335429.

It is an arithmetic number, because the mean of its divisors is an integer number (601437693675).

Almost surely, 240138403882525 is an apocalyptic number.

It is an amenable number.

40138403882525 is a deficient number, since it is larger than the sum of its proper divisors (17599614710275).

40138403882525 is a wasteful number, since it uses less digits than its factorization.

40138403882525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112579 (or 112574 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 53.

The spelling of 40138403882525 in words is "forty trillion, one hundred thirty-eight billion, four hundred three million, eight hundred eighty-two thousand, five hundred twenty-five".

Divisors: 1 5 13 17 25 61 65 85 221 305 325 425 793 1037 1069 1105 1525 3965 5185 5345 5525 13481 13897 18173 19825 25925 26725 65209 67405 69485 90865 111409 236249 326045 337025 347425 454325 557045 847717 1108553 1181245 1448317 1630225 1893953 2785225 4238585 5542765 5906225 6795949 7241585 9469765 14411189 21192925 24621389 27713825 33979745 36207925 47348825 72055945 88347337 115531133 119096221 123106945 169898725 360279725 441736685 577655665 595481105 615534725 1501904729 1548250873 2024635757 2208683425 2888278325 2977405525 7264869481 7509523645 7741254365 10123178785 26320264841 36324347405 37547618225 38706271825 50615893925 94443303253 123502781177 131601324205 181621737025 472216516265 617513905885 658006621025 1605536155301 2361082581325 3087569529425 8027680776505 40138403882525