Search a number
-
+
144062352330 = 235131937975417
BaseRepresentation
bin1000011000101011001…
…0010000101111001010
3111202211221201202111220
42012022302100233022
54330014430233310
6150103100102510
713256666535051
oct2061262205712
9452757652456
10144062352330
1156107495616
1223b06234a36
131077b3a5280
146d88d73398
153b326b1670
hex218ac90bca

144062352330 has 256 divisors, whose sum is σ = 406760901120. Its totient is φ = 32344178688.

The previous prime is 144062352319. The next prime is 144062352353. The reversal of 144062352330 is 33253260441.

It is a happy number.

It is a super-2 number, since 2×1440623523302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144062352291 and 144062352300.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26591782 + ... + 26597198.

It is an arithmetic number, because the mean of its divisors is an integer number (1588909770).

Almost surely, 2144062352330 is an apocalyptic number.

144062352330 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 144062352330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203380450560).

144062352330 is an abundant number, since it is smaller than the sum of its proper divisors (262698548790).

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

144062352330 is a wasteful number, since it uses less digits than its factorization.

144062352330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5593.

The product of its (nonzero) digits is 51840, while the sum is 33.

The spelling of 144062352330 in words is "one hundred forty-four billion, sixty-two million, three hundred fifty-two thousand, three hundred thirty".