Search a number
-
+
314423031000 = 233531310775347
BaseRepresentation
bin1001001001101010001…
…00101011010011011000
31010001120200101220202110
410210311010223103120
520122414243443000
6400235520432320
731500460444401
oct4446504532330
91101520356673
10314423031000
11111389670a31
1250b2b7786a0
132385ac83c90
141130a8969a8
1582a3a04850
hex493512b4d8

314423031000 has 256 divisors, whose sum is σ = 1066349007360. Its totient is φ = 76672089600.

The previous prime is 314423030959. The next prime is 314423031019. The reversal of 314423031000 is 130324413.

It is a super-2 number, since 2×3144230310002 (a number of 24 digits) contains 22 as substring.

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, 4135327 + ... + 4210673.

It is an arithmetic number, because the mean of its divisors is an integer number (4165425810).

Almost surely, 2314423031000 is an apocalyptic number.

314423031000 is a gapful number since it is divisible by the number (30) 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 314423031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533174503680).

314423031000 is an abundant number, since it is smaller than the sum of its proper divisors (751925976360).

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

314423031000 is a wasteful number, since it uses less digits than its factorization.

314423031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75491 (or 75477 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 314423031000 its reverse (130324413), we get a palindrome (314553355413).

The spelling of 314423031000 in words is "three hundred fourteen billion, four hundred twenty-three million, thirty-one thousand".