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40831880761 = 72288672
BaseRepresentation
bin100110000001110001…
…010000111000111001
310220101122101110101001
4212001301100320321
51132110430141021
630431412525001
72643565155100
oct460161207071
9126348343331
1040831880761
1116353594401
127ab6620761
133b095184b9
141d94c75037
1510dea5a091
hex981c50e39

40831880761 has 9 divisors (see below), whose sum is σ = 47499955749. Its totient is φ = 34997542524.

The previous prime is 40831880759. The next prime is 40831880773. The reversal of 40831880761 is 16708813804.

The square root of 40831880761 is 202069.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 40831880761 - 21 = 40831880759 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40831880741) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1400050 + ... + 1428916.

It is an arithmetic number, because the mean of its divisors is an integer number (5277772861).

Almost surely, 240831880761 is an apocalyptic number.

40831880761 is the 202069-th square number.

40831880761 is the 101035-th centered octagonal number.

It is an amenable number.

40831880761 is a deficient number, since it is larger than the sum of its proper divisors (6668074988).

40831880761 is an frugal number, since it uses more digits than its factorization.

40831880761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57748 (or 28874 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The spelling of 40831880761 in words is "forty billion, eight hundred thirty-one million, eight hundred eighty thousand, seven hundred sixty-one".

Divisors: 1 7 49 28867 202069 1414483 833303689 5833125823 40831880761