Search a number
-
+
68184342000 = 243553140297
BaseRepresentation
bin111111100000000110…
…100111110111110000
320111222212212110100000
4333200012213313300
52104120142421000
651153511030000
74632446226045
oct774006476760
9214885773300
1068184342000
1126a0a313375
121126a96b300
1365782345c8
14342b8251cc
151b91013000
hexfe01a7df0

68184342000 has 240 divisors, whose sum is σ = 246967130592. Its totient is φ = 18182361600.

The previous prime is 68184341977. The next prime is 68184342071. The reversal of 68184342000 is 24348186.

68184342000 is a `hidden beast` number, since 6 + 8 + 18 + 434 + 200 + 0 = 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 415852 + ... + 556148.

Almost surely, 268184342000 is an apocalyptic number.

68184342000 is a gapful number since it is divisible by the number (60) 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 68184342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123483565296).

68184342000 is an abundant number, since it is smaller than the sum of its proper divisors (178782788592).

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

68184342000 is a wasteful number, since it uses less digits than its factorization.

68184342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140335 (or 140307 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 68184342000 in words is "sixty-eight billion, one hundred eighty-four million, three hundred forty-two thousand".