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2141944064 = 2813798147
BaseRepresentation
bin111111110101011…
…0111100100000000
312112021110000212122
41333222313210000
513341314202224
6552313143412
7104036136611
oct17752674400
95467400778
102141944064
119aa087307
124b93bab68
132819b5530
14164687c08
15c80a015e
hex7fab7900

2141944064 has 72 divisors (see below), whose sum is σ = 4663263360. Its totient is φ = 975955968.

The previous prime is 2141944037. The next prime is 2141944073. The reversal of 2141944064 is 4604491412.

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 7 ways as a sum of consecutive naturals, for example, 258839 + ... + 266985.

Almost surely, 22141944064 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 2141944064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331631680).

2141944064 is an abundant number, since it is smaller than the sum of its proper divisors (2521319296).

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

2141944064 is an equidigital number, since it uses as much as digits as its factorization.

2141944064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8255 (or 8241 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 2141944064 is about 46281.1415589547. The cubic root of 2141944064 is about 1289.0488479678.

The spelling of 2141944064 in words is "two billion, one hundred forty-one million, nine hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 104 128 158 208 256 316 416 632 832 1027 1264 1664 2054 2528 3328 4108 5056 8147 8216 10112 16294 16432 20224 32588 32864 65176 65728 105911 130352 131456 211822 260704 262912 423644 521408 643613 847288 1042816 1287226 1694576 2085632 2574452 3389152 5148904 6778304 8366969 10297808 13556608 16733938 20595616 27113216 33467876 41191232 66935752 82382464 133871504 164764928 267743008 535486016 1070972032 2141944064