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143144749440 = 27325711322747
BaseRepresentation
bin1000010101010000010…
…1111000100110000000
3111200111000002200222200
42011110011320212000
54321130023440230
6145432040433200
713225155203010
oct2052405704600
9450430080880
10143144749440
115578652aa20
12238aaa78800
1310663257594
146cdd153c40
153acbd59160
hex2154178980

143144749440 has 384 divisors, whose sum is σ = 616267941120. Its totient is φ = 29744271360.

The previous prime is 143144749421. The next prime is 143144749463. The reversal of 143144749440 is 44947441341.

143144749440 is a `hidden beast` number, since 1 + 43 + 14 + 474 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 282147 + ... + 604893.

It is an arithmetic number, because the mean of its divisors is an integer number (1604864430).

Almost surely, 2143144749440 is an apocalyptic number.

143144749440 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 143144749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308133970560).

143144749440 is an abundant number, since it is smaller than the sum of its proper divisors (473123191680).

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

143144749440 is a wasteful number, since it uses less digits than its factorization.

143144749440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322790 (or 322775 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 143144749440 in words is "one hundred forty-three billion, one hundred forty-four million, seven hundred forty-nine thousand, four hundred forty".