Search a number
-
+
143322414312 = 233711731079929
BaseRepresentation
bin1000010101111010101…
…1100111110011101000
3111200221101102000101010
42011132223213303220
54322011014224222
6145501424423520
713232443264260
oct2053653476350
9450841360333
10143322414312
11558678481a0
122393a477ba0
1310690cc161c
146d189a07a0
153adc75080c
hex215eae7ce8

143322414312 has 256 divisors, whose sum is σ = 457116825600. Its totient is φ = 36369838080.

The previous prime is 143322414307. The next prime is 143322414349. The reversal of 143322414312 is 213414223341.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 143322414312.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14429764 + ... + 14439692.

It is an arithmetic number, because the mean of its divisors is an integer number (1785612600).

Almost surely, 2143322414312 is an apocalyptic number.

143322414312 is a gapful number since it is divisible by the number (12) 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 143322414312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228558412800).

143322414312 is an abundant number, since it is smaller than the sum of its proper divisors (313794411288).

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

143322414312 is a wasteful number, since it uses less digits than its factorization.

143322414312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10136 (or 10132 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 143322414312 its reverse (213414223341), we get a palindrome (356736637653).

The spelling of 143322414312 in words is "one hundred forty-three billion, three hundred twenty-two million, four hundred fourteen thousand, three hundred twelve".