Search a number
-
+
143278331040 = 2532513174179139
BaseRepresentation
bin1000010101110000001…
…1011101010010100000
3111200211022110100111100
42011130003131102200
54321413223043130
6145453211514400
713231366501515
oct2053403352240
9450738410440
10143278331040
1155844978839
1223927758a00
1310684b28350
146d12ba730c
153ad8943c60
hex215c0dd4a0

143278331040 has 1152 divisors, whose sum is σ = 582509491200. Its totient is φ = 31744327680.

The previous prime is 143278331017. The next prime is 143278331041. The reversal of 143278331040 is 40133872341.

143278331040 is a `hidden beast` number, since 14 + 3 + 278 + 331 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 143278330986 and 143278331004.

It is not an unprimeable number, because it can be changed into a prime (143278331041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1030779291 + ... + 1030779429.

It is an arithmetic number, because the mean of its divisors is an integer number (505650600).

Almost surely, 2143278331040 is an apocalyptic number.

143278331040 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 143278331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291254745600).

143278331040 is an abundant number, since it is smaller than the sum of its proper divisors (439231160160).

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

143278331040 is a wasteful number, since it uses less digits than its factorization.

143278331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 143278331040 in words is "one hundred forty-three billion, two hundred seventy-eight million, three hundred thirty-one thousand, forty".