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159143434560 = 263451119291013
BaseRepresentation
bin1001010000110110110…
…0000001100101000000
3120012202222110010010000
42110031230001211000
510101411204401220
6201035352040000
714332502605605
oct2241554014500
9505688403100
10159143434560
1161546357940
1226a14993000
1312012970176
1479b9c626ac
154216690390
hex250db01940

159143434560 has 1120 divisors, whose sum is σ = 673148361600. Its totient is φ = 35254517760.

The previous prime is 159143434537. The next prime is 159143434603. The reversal of 159143434560 is 65434341951.

159143434560 is a `hidden beast` number, since 1 + 5 + 9 + 1 + 43 + 43 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 157100614 + ... + 157101626.

Almost surely, 2159143434560 is an apocalyptic number.

159143434560 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 159143434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336574180800).

159143434560 is an abundant number, since it is smaller than the sum of its proper divisors (514004927040).

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

159143434560 is a wasteful number, since it uses less digits than its factorization.

159143434560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

It can be divided in two parts, 15914343 and 4560, that added together give a triangular number (15918903 = T5642).

The spelling of 159143434560 in words is "one hundred fifty-nine billion, one hundred forty-three million, four hundred thirty-four thousand, five hundred sixty".