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40349560384 = 26721722112
BaseRepresentation
bin100101100101000001…
…010110111001000000
310212011000211001012101
4211211001112321000
51130113441413014
630311503040144
72625620414200
oct454501267100
9125130731171
1040349560384
1116126302a21
1279a0ba0054
133a60613623
141d4aba2400
1510b2535474
hex965056e40

40349560384 has 189 divisors, whose sum is σ = 99413411409. Its totient is φ = 16198318080.

The previous prime is 40349560337. The next prime is 40349560403. The reversal of 40349560384 is 48306594304.

The square root of 40349560384 is 200872.

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., 31414017600 + 8935542784 = 177240^2 + 94528^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 191230039 + ... + 191230249.

Almost surely, 240349560384 is an apocalyptic number.

40349560384 is the 200872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40349560384

40349560384 is an abundant number, since it is smaller than the sum of its proper divisors (59063851025).

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

40349560384 is an equidigital number, since it uses as much as digits as its factorization.

40349560384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 46.

The spelling of 40349560384 in words is "forty billion, three hundred forty-nine million, five hundred sixty thousand, three hundred eighty-four".