Search a number
-
+
144301331443230 = 232513617732615623
BaseRepresentation
bin100000110011110111000101…
…100110011110111000011110
3200220221001221220012121000200
4200303313011212132320132
5122403213111322140410
61230523041055404330
742252266341224333
oct4063670546367036
9626831856177020
10144301331443230
1141a8493a743115
1214226693b236a6
136269732131860
14278c31651698a
1511a391e9a73c0
hex833dc599ee1e

144301331443230 has 192 divisors, whose sum is σ = 411198817341312. Its totient is φ = 34892815979520.

The previous prime is 144301331443183. The next prime is 144301331443231. The reversal of 144301331443230 is 32344133103441.

144301331443230 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 0 + 13 + 314 + 4 + 323 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144301331443231) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53861199 + ... + 56476821.

It is an arithmetic number, because the mean of its divisors is an integer number (2141660506986).

Almost surely, 2144301331443230 is an apocalyptic number.

144301331443230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144301331443230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205599408670656).

144301331443230 is an abundant number, since it is smaller than the sum of its proper divisors (266897485898082).

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

144301331443230 is a wasteful number, since it uses less digits than its factorization.

144301331443230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616483 (or 2616480 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 144301331443230 its reverse (32344133103441), we get a palindrome (176645464546671).

The spelling of 144301331443230 in words is "one hundred forty-four trillion, three hundred one billion, three hundred thirty-one million, four hundred forty-three thousand, two hundred thirty".