Search a number
-
+
143233417040 = 24572172126433
BaseRepresentation
bin1000010101100101100…
…0000111111101010000
3111200201011221111001212
42011121120013331100
54321320223321130
6145444525115252
713230312646100
oct2053130077520
9450634844055
10143233417040
115582159122a
12239146b8b28
1310678730c0c
146d0ac35200
153ad4a20e95
hex2159607f50

143233417040 has 180 divisors, whose sum is σ = 411519153276. Its totient is φ = 46219493376.

The previous prime is 143233417007. The next prime is 143233417069. The reversal of 143233417040 is 40714332341.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 22802208016 + 120431209024 = 151004^2 + 347032^2 .

It is a junction number, because it is equal to n+sod(n) for n = 143233416988 and 143233417006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1069664 + ... + 1196096.

Almost surely, 2143233417040 is an apocalyptic number.

143233417040 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 143233417040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205759576638).

143233417040 is an abundant number, since it is smaller than the sum of its proper divisors (268285736236).

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

143233417040 is a wasteful number, since it uses less digits than its factorization.

143233417040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126494 (or 126464 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

Adding to 143233417040 its reverse (40714332341), we get a palindrome (183947749381).

The spelling of 143233417040 in words is "one hundred forty-three billion, two hundred thirty-three million, four hundred seventeen thousand, forty".