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940145491321 = 232421572
BaseRepresentation
bin11011010111001010000…
…10011011110101111001
310022212200100121100022021
431223211002123311321
5110400404221210241
61555521420354441
7124631452552201
oct15534502336571
93285610540267
10940145491321
113327936906a3
121322589a5a21
136a869a1c2ba
1433709027401
15196c6ba20d1
hexdae509bd79

940145491321 has 9 divisors (see below), whose sum is σ = 982821908271. Its totient is φ = 899248268952.

The previous prime is 940145491291. The next prime is 940145491387. The reversal of 940145491321 is 123194541049.

The square root of 940145491321 is 969611.

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

It can be written as a sum of positive squares in only one way, i.e., 179000917225 + 761144574096 = 423085^2 + 872436^2 .

It is not a de Polignac number, because 940145491321 - 213 = 940145483129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (940145441321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22279975 + ... + 22322131.

Almost surely, 2940145491321 is an apocalyptic number.

940145491321 is the 969611-st square number.

940145491321 is the 484806-th centered octagonal number.

It is an amenable number.

940145491321 is a deficient number, since it is larger than the sum of its proper divisors (42676416950).

940145491321 is an frugal number, since it uses more digits than its factorization.

940145491321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84360 (or 42180 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 940145491321 in words is "nine hundred forty billion, one hundred forty-five million, four hundred ninety-one thousand, three hundred twenty-one".

Divisors: 1 23 529 42157 969611 22301053 1777212649 40875890927 940145491321