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142831840320 = 2633513171931127
BaseRepresentation
bin1000010100000101110…
…0001110110001000000
3111122200012022021101000
42011001130032301000
54320004422342240
6145341022012000
713214335416351
oct2050134166100
9448605267330
10142831840320
1155635939744
1223822117000
1310613489a60
146cad77dd28
153aae64a430
hex214170ec40

142831840320 has 1792 divisors, whose sum is σ = 629224243200. Its totient is φ = 30098718720.

The previous prime is 142831840309. The next prime is 142831840397. The reversal of 142831840320 is 23048138241.

It is a happy number.

142831840320 is a `hidden beast` number, since 1 + 4 + 283 + 18 + 40 + 320 = 666.

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

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 255 ways as a sum of consecutive naturals, for example, 1124660097 + ... + 1124660223.

It is an arithmetic number, because the mean of its divisors is an integer number (351129600).

Almost surely, 2142831840320 is an apocalyptic number.

142831840320 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 142831840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314612121600).

142831840320 is an abundant number, since it is smaller than the sum of its proper divisors (486392402880).

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

142831840320 is a wasteful number, since it uses less digits than its factorization.

142831840320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 142831840320 its reverse (23048138241), we get a palindrome (165879978561).

The spelling of 142831840320 in words is "one hundred forty-two billion, eight hundred thirty-one million, eight hundred forty thousand, three hundred twenty".