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331142070732 = 2231123310766747
BaseRepresentation
bin1001101000110011001…
…10110000000111001100
31011122201212020010122020
410310121212300013030
520411134332230412
6412042523450140
732632003105434
oct4643146600714
91148655203566
10331142070732
1111848907aa40
1254216986950
13252c39b48b5
141205511b2c4
1589316ce18c
hex4d199b01cc

331142070732 has 48 divisors (see below), whose sum is σ = 846524794752. Its totient is φ = 99915402880.

The previous prime is 331142070719. The next prime is 331142070737. The reversal of 331142070732 is 237070241133.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 331142070693 and 331142070702.

It is not an unprimeable number, because it can be changed into a prime (331142070737) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5352618 + ... + 5414129.

It is an arithmetic number, because the mean of its divisors is an integer number (17635933224).

Almost surely, 2331142070732 is an apocalyptic number.

It is an amenable number.

331142070732 is an abundant number, since it is smaller than the sum of its proper divisors (515382724020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331142070732 is a wasteful number, since it uses less digits than its factorization.

331142070732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10766998 (or 10766996 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The spelling of 331142070732 in words is "three hundred thirty-one billion, one hundred forty-two million, seventy thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 233 466 699 932 1398 2563 2796 5126 7689 10252 15378 30756 10766747 21533494 32300241 43066988 64600482 118434217 129200964 236868434 355302651 473736868 710605302 1421210604 2508652051 5017304102 7525956153 10034608204 15051912306 27595172561 30103824612 55190345122 82785517683 110380690244 165571035366 331142070732