Search a number
-
+
143104481280 = 2113257389239
BaseRepresentation
bin1000010101000110110…
…0010001100000000000
3111200101012022212110100
42011101230101200000
54321034221400110
6145424041402400
713224156010065
oct2052154214000
9450335285410
10143104481280
1155765826952
1223899499400
1310657ac8977
146cd7a70c6c
153ac8552bc0
hex2151b11800

143104481280 has 576 divisors, whose sum is σ = 510544944000. Its totient is φ = 37059821568.

The previous prime is 143104481279. The next prime is 143104481423. The reversal of 143104481280 is 82184401341.

It is a happy number.

143104481280 is a `hidden beast` number, since 143 + 10 + 4 + 481 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 598763401 + ... + 598763639.

It is an arithmetic number, because the mean of its divisors is an integer number (886362750).

Almost surely, 2143104481280 is an apocalyptic number.

143104481280 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 143104481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255272472000).

143104481280 is an abundant number, since it is smaller than the sum of its proper divisors (367440462720).

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

143104481280 is a wasteful number, since it uses less digits than its factorization.

143104481280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 143104481280 in words is "one hundred forty-three billion, one hundred four million, four hundred eighty-one thousand, two hundred eighty".