Search a number
-
+
334155439072 = 25713317395009
BaseRepresentation
bin1001101110011010011…
…01110101101111100000
31011221111212102002220001
410313031031311233200
520433322243022242
6413301530425344
733066453240040
oct4671515655740
91157455362801
10334155439072
111197950411a4
1254917b92254
1325684099ba0
141225d403720
158a5b013eb7
hex4dcd375be0

334155439072 has 192 divisors, whose sum is σ = 837101260800. Its totient is φ = 127730442240.

The previous prime is 334155439067. The next prime is 334155439181. The reversal of 334155439072 is 270934551433.

It is a super-2 number, since 2×3341554390722 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66708504 + ... + 66713512.

It is an arithmetic number, because the mean of its divisors is an integer number (4359902400).

Almost surely, 2334155439072 is an apocalyptic number.

334155439072 is a gapful number since it is divisible by the number (32) 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 334155439072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418550630400).

334155439072 is an abundant number, since it is smaller than the sum of its proper divisors (502945821728).

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

334155439072 is a wasteful number, since it uses less digits than its factorization.

334155439072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5809 (or 5801 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 46.

The spelling of 334155439072 in words is "three hundred thirty-four billion, one hundred fifty-five million, four hundred thirty-nine thousand, seventy-two".