Search a number
-
+
194087389440 = 28357193710271
BaseRepresentation
bin1011010011000010000…
…0101000100100000000
3200112222021122221121010
42310300200220210000
511134442332430230
6225055034200520
720010444406230
oct2646040504400
9615867587533
10194087389440
11753482a939a
1231747583140
13153c13a0049
149572b3dcc0
1550ae34e9b0
hex2d30828900

194087389440 has 576 divisors, whose sum is σ = 765932912640. Its totient is φ = 40888074240.

The previous prime is 194087389423. The next prime is 194087389451. The reversal of 194087389440 is 44983780491.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18891505 + ... + 18901775.

It is an arithmetic number, because the mean of its divisors is an integer number (1329744640).

Almost surely, 2194087389440 is an apocalyptic number.

194087389440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194087389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382966456320).

194087389440 is an abundant number, since it is smaller than the sum of its proper divisors (571845523200).

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

194087389440 is a wasteful number, since it uses less digits than its factorization.

194087389440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10358 (or 10344 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 194087389440 in words is "one hundred ninety-four billion, eighty-seven million, three hundred eighty-nine thousand, four hundred forty".