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143413842816 = 2733107547709
BaseRepresentation
bin1000010110010000100…
…0011001001110000000
3111201011202110001201000
42011210020121032000
54322202420432231
6145514452212000
713234633356546
oct2054410311600
9451152401630
10143413842816
1155904414842
122396500a000
13106a6c2382a
146d26b9dd96
153ae57b06e6
hex2164219380

143413842816 has 256 divisors, whose sum is σ = 428610528000. Its totient is φ = 47204591616.

The previous prime is 143413842757. The next prime is 143413842931. The reversal of 143413842816 is 618248314341.

143413842816 is a `hidden beast` number, since 1 + 434 + 138 + 4 + 2 + 81 + 6 = 666.

It is a super-2 number, since 2×1434138428162 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202275870 + ... + 202276578.

It is an arithmetic number, because the mean of its divisors is an integer number (1674259875).

Almost surely, 2143413842816 is an apocalyptic number.

143413842816 is a gapful number since it is divisible by the number (16) 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 143413842816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214305264000).

143413842816 is an abundant number, since it is smaller than the sum of its proper divisors (285196685184).

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

143413842816 is a wasteful number, since it uses less digits than its factorization.

143413842816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1368 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 143413842816 in words is "one hundred forty-three billion, four hundred thirteen million, eight hundred forty-two thousand, eight hundred sixteen".