Search a number
-
+
14212214640 = 243551356237
BaseRepresentation
bin11010011110001110…
…10010111101110000
31100200110210022100000
431033013102331300
5213101311332030
610310133030000
71012122555051
oct151707227560
940613708300
1014212214640
116033474238
122907785300
131456581a80
1498b758728
15582aa1860
hex34f1d2f70

14212214640 has 240 divisors, whose sum is σ = 53305525728. Its totient is φ = 3498329088.

The previous prime is 14212214609. The next prime is 14212214651. The reversal of 14212214640 is 4641221241.

14212214640 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 2 + 2 + 14 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224602 + ... + 280838.

Almost surely, 214212214640 is an apocalyptic number.

14212214640 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 14212214640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26652762864).

14212214640 is an abundant number, since it is smaller than the sum of its proper divisors (39093311088).

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

14212214640 is a wasteful number, since it uses less digits than its factorization.

14212214640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56278 (or 56260 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14212214640 its reverse (4641221241), we get a palindrome (18853435881).

The spelling of 14212214640 in words is "fourteen billion, two hundred twelve million, two hundred fourteen thousand, six hundred forty".