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143416821240 = 23355711191621
BaseRepresentation
bin1000010110010001001…
…1110000010111111000
3111201011222001101100000
42011210103300113320
54322204201234430
6145515040113000
713235000603160
oct2054423602770
9451158041300
10143416821240
1155906069550
1223966005760
13106a7727404
146d273375a0
153ae5b9ce60
hex21644f05f8

143416821240 has 384 divisors, whose sum is σ = 602643525120. Its totient is φ = 29800742400.

The previous prime is 143416821221. The next prime is 143416821253. The reversal of 143416821240 is 42128614341.

143416821240 is a `hidden beast` number, since 1 + 4 + 341 + 68 + 212 + 40 = 666.

It is a super-2 number, since 2×1434168212402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 143416821195 and 143416821204.

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 95 ways as a sum of consecutive naturals, for example, 652630 + ... + 844250.

It is an arithmetic number, because the mean of its divisors is an integer number (1569384180).

Almost surely, 2143416821240 is an apocalyptic number.

143416821240 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 143416821240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301321762560).

143416821240 is an abundant number, since it is smaller than the sum of its proper divisors (459226703880).

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

143416821240 is a wasteful number, since it uses less digits than its factorization.

143416821240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191665 (or 191649 counting only the distinct ones).

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

The spelling of 143416821240 in words is "one hundred forty-three billion, four hundred sixteen million, eight hundred twenty-one thousand, two hundred forty".