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331132540340 = 225729531798597
BaseRepresentation
bin1001101000110010000…
…10011001010110110100
31011122201012021221101202
410310121002121112310
520411124412242330
6412041543312032
732631526103150
oct4643102312664
91148635257352
10331132540340
11118483760688
125421374b618
13252c1a28a04
1412053b5a060
15893094a445
hex4d190995b4

331132540340 has 192 divisors, whose sum is σ = 842411404800. Its totient is φ = 106934790144.

The previous prime is 331132540339. The next prime is 331132540411. The reversal of 331132540340 is 43045231133.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 38512922 + ... + 38521518.

It is an arithmetic number, because the mean of its divisors is an integer number (4387559400).

Almost surely, 2331132540340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331132540340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421205702400).

331132540340 is an abundant number, since it is smaller than the sum of its proper divisors (511278864460).

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

331132540340 is a wasteful number, since it uses less digits than its factorization.

331132540340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8874 (or 8872 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 331132540340 its reverse (43045231133), we get a palindrome (374177771473).

The spelling of 331132540340 in words is "three hundred thirty-one billion, one hundred thirty-two million, five hundred forty thousand, three hundred forty".