Search a number
-
+
16290310140 = 22345137091091
BaseRepresentation
bin11110010101111101…
…00110011111111100
31120001022002111110000
433022332212133330
5231330304411030
611252245514300
71114455231366
oct171276463774
946038074400
1016290310140
1169aa501135
1231a7712990
1316c7c70690
14b07741d36
1565523d860
hex3cafa67fc

16290310140 has 240 divisors, whose sum is σ = 55162467360. Its totient is φ = 4000596480.

The previous prime is 16290310133. The next prime is 16290310159. The reversal of 16290310140 is 4101309261.

16290310140 is a `hidden beast` number, since 1 + 629 + 0 + 31 + 0 + 1 + 4 + 0 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14930995 + ... + 14932085.

It is an arithmetic number, because the mean of its divisors is an integer number (229843614).

Almost surely, 216290310140 is an apocalyptic number.

16290310140 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 16290310140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27581233680).

16290310140 is an abundant number, since it is smaller than the sum of its proper divisors (38872157220).

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

16290310140 is a wasteful number, since it uses less digits than its factorization.

16290310140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 16290310140 in words is "sixteen billion, two hundred ninety million, three hundred ten thousand, one hundred forty".