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40961634075 = 3252732493859
BaseRepresentation
bin100110001001100000…
…001110111100011011
310220201200112121110100
4212021200032330123
51132342134242300
630452325550443
72650032100455
oct461140167433
9126650477410
1040961634075
111640a857a4a
127b31b75423
133b2a3788cb
141da81ad2d5
1510eb13a700
hex98980ef1b

40961634075 has 36 divisors (see below), whose sum is σ = 74371892920. Its totient is φ = 21546933120.

The previous prime is 40961634059. The next prime is 40961634097. The reversal of 40961634075 is 57043616904.

40961634075 is a `hidden beast` number, since 4 + 0 + 9 + 6 + 1 + 634 + 0 + 7 + 5 = 666.

It is not a de Polignac number, because 40961634075 - 24 = 40961634059 is a prime.

It is a super-2 number, since 2×409616340752 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 40961634075.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1230505 + ... + 1263354.

Almost surely, 240961634075 is an apocalyptic number.

40961634075 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40961634075 is a deficient number, since it is larger than the sum of its proper divisors (33410258845).

40961634075 is a wasteful number, since it uses less digits than its factorization.

40961634075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493948 (or 2493940 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 40961634075 in words is "forty billion, nine hundred sixty-one million, six hundred thirty-four thousand, seventy-five".

Divisors: 1 3 5 9 15 25 45 73 75 219 225 365 657 1095 1825 3285 5475 16425 2493859 7481577 12469295 22444731 37407885 62346475 112223655 182051707 187039425 546155121 561118275 910258535 1638465363 2730775605 4551292675 8192326815 13653878025 40961634075