Search a number
-
+
143405004960 = 25345719271307
BaseRepresentation
bin1000010110001110011…
…0101011100010100000
3111201011010211001110000
42011203212223202200
54322143140124320
6145513534540000
713234465300320
oct2054346534240
9451133731400
10143405004960
11558aa428828
1223962067600
13106a514ac29
146d2593d280
153ae4b16c90
hex21639ab8a0

143405004960 has 960 divisors, whose sum is σ = 613079470080. Its totient is φ = 30837749760.

The previous prime is 143405004893. The next prime is 143405004973. The reversal of 143405004960 is 69400504341.

143405004960 is a `hidden beast` number, since 14 + 3 + 40 + 500 + 49 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 467117127 + ... + 467117433.

It is an arithmetic number, because the mean of its divisors is an integer number (638624448).

Almost surely, 2143405004960 is an apocalyptic number.

143405004960 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 143405004960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306539735040).

143405004960 is an abundant number, since it is smaller than the sum of its proper divisors (469674465120).

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

143405004960 is a wasteful number, since it uses less digits than its factorization.

143405004960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 143405004960 in words is "one hundred forty-three billion, four hundred five million, four thousand, nine hundred sixty".