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40530150035505 = 32513505491370597
BaseRepresentation
bin10010011011100101010010…
…01100100001000000110001
312022111122101211202012221200
421031302221030201000301
520303021221402114010
6222111143251241413
711352130621020264
oct1115625114410061
9168448354665850
1040530150035505
1111a06816092489
1246670212a9269
13197cc90bbc720
14a01953a40cdb
154a4437713cc0
hex24dca9321031

40530150035505 has 48 divisors (see below), whose sum is σ = 75657831958800. Its totient is φ = 19952895343104.

The previous prime is 40530150035467. The next prime is 40530150035569. The reversal of 40530150035505 is 50553005103504.

40530150035505 is a `hidden beast` number, since 4 + 0 + 53 + 0 + 1 + 50 + 0 + 3 + 550 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 314360941041 + 40215789094464 = 560679^2 + 6341592^2 .

It is not a de Polignac number, because 40530150035505 - 27 = 40530150035377 is a prime.

It is a super-3 number, since 3×405301500355053 (a number of 42 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 40530150035505.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28885867 + ... + 30256463.

It is an arithmetic number, because the mean of its divisors is an integer number (1576204832475).

Almost surely, 240530150035505 is an apocalyptic number.

40530150035505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40530150035505 is a deficient number, since it is larger than the sum of its proper divisors (35127681923295).

40530150035505 is a wasteful number, since it uses less digits than its factorization.

40530150035505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421170 (or 1421167 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 36.

The spelling of 40530150035505 in words is "forty trillion, five hundred thirty billion, one hundred fifty million, thirty-five thousand, five hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 50549 151647 252745 454941 657137 758235 1370597 1971411 2274705 3285685 4111791 5914233 6852985 9857055 12335373 17817761 20558955 29571165 53453283 61676865 89088805 160359849 267266415 801799245 69282307753 207846923259 346411538765 623540769777 900670000789 1039234616295 2702010002367 3117703848885 4503350003945 8106030007101 13510050011835 40530150035505