Search a number
-
+
214406240064 = 2631789624203
BaseRepresentation
bin1100011110101110011…
…0111001011101000000
3202111102100011111200020
43013223212321131000
512003100444140224
6242255153453440
721330120653622
oct3075346713500
9674370144606
10214406240064
1182a24807625
1235678271280
13172abb45993
14a53d504c12
15589d09ec79
hex31eb9b9740

214406240064 has 56 divisors (see below), whose sum is σ = 567601181280. Its totient is φ = 71428683264.

The previous prime is 214406240057. The next prime is 214406240077. The reversal of 214406240064 is 460042604412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31387 + ... + 655589.

It is an arithmetic number, because the mean of its divisors is an integer number (10135735380).

Almost surely, 2214406240064 is an apocalyptic number.

214406240064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214406240064 is an abundant number, since it is smaller than the sum of its proper divisors (353194941216).

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

214406240064 is a wasteful number, since it uses less digits than its factorization.

214406240064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626007 (or 625997 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 214406240064 its reverse (460042604412), we get a palindrome (674448844476).

The spelling of 214406240064 in words is "two hundred fourteen billion, four hundred six million, two hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1789 3578 5367 7156 10734 14312 21468 28624 42936 57248 85872 114496 171744 343488 624203 1248406 1872609 2496812 3745218 4993624 7490436 9987248 14980872 19974496 29961744 39948992 59923488 119846976 1116699167 2233398334 3350097501 4466796668 6700195002 8933593336 13400390004 17867186672 26800780008 35734373344 53601560016 71468746688 107203120032 214406240064