Search a number
-
+
142866231840 = 2535519415389
BaseRepresentation
bin1000010100001101111…
…1011011001000100000
3111122202121000112200000
42011003133123020200
54320042223404330
6145344251100000
713215233635233
oct2050337331040
9448677015600
10142866231840
1155653299592
1223831741600
131061a63b877
146cb417341a
153ab2690560
hex21437db220

142866231840 has 1152 divisors, whose sum is σ = 561705580800. Its totient is φ = 34159656960.

The previous prime is 142866231803. The next prime is 142866231841. The reversal of 142866231840 is 48132668241.

142866231840 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 6 + 623 + 18 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (142866231841) 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, 1605238516 + ... + 1605238604.

It is an arithmetic number, because the mean of its divisors is an integer number (487591650).

Almost surely, 2142866231840 is an apocalyptic number.

142866231840 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 142866231840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280852790400).

142866231840 is an abundant number, since it is smaller than the sum of its proper divisors (418839348960).

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

142866231840 is a wasteful number, since it uses less digits than its factorization.

142866231840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 142866231840 in words is "one hundred forty-two billion, eight hundred sixty-six million, two hundred thirty-one thousand, eight hundred forty".