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144066665160 = 2332511297117669
BaseRepresentation
bin1000011000101100001…
…0101101101011001000
3111202212020211212121100
42012023002231223020
54330022031241120
6150103332341400
713260051306645
oct2061302555310
9452766755540
10144066665160
1156109970940
1223b07774860
131077c255342
146d89776dcc
153b32c64490
hex218b0adac8

144066665160 has 384 divisors, whose sum is σ = 535867488000. Its totient is φ = 33244108800.

The previous prime is 144066665069. The next prime is 144066665203. The reversal of 144066665160 is 61566660441.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8144806 + ... + 8162474.

It is an arithmetic number, because the mean of its divisors is an integer number (1395488250).

Almost surely, 2144066665160 is an apocalyptic number.

144066665160 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 144066665160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267933744000).

144066665160 is an abundant number, since it is smaller than the sum of its proper divisors (391800822840).

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

144066665160 is a wasteful number, since it uses less digits than its factorization.

144066665160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17797 (or 17790 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

It can be divided in two parts, 144066665 and 160, that added together give a triangular number (144066825 = T16974).

The spelling of 144066665160 in words is "one hundred forty-four billion, sixty-six million, six hundred sixty-five thousand, one hundred sixty".