Search a number
-
+
142083739200 = 263521312717929
BaseRepresentation
bin1000010001010011011…
…0011100111001000000
3111120202001121210120010
42010110312130321000
54311441414123300
6145134455344520
713156652566464
oct2042466347100
9446661553503
10142083739200
1155291626257
1223653682140
13105244a8680
146c3c2844a4
153a68b25a50
hex2114d9ce40

142083739200 has 336 divisors, whose sum is σ = 505992058880. Its totient is φ = 34697134080.

The previous prime is 142083739169. The next prime is 142083739229. The reversal of 142083739200 is 2937380241.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7915836 + ... + 7933764.

Almost surely, 2142083739200 is an apocalyptic number.

142083739200 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 142083739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252996029440).

142083739200 is an abundant number, since it is smaller than the sum of its proper divisors (363908319680).

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

142083739200 is a wasteful number, since it uses less digits than its factorization.

142083739200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18094 (or 18079 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 142083739200 in words is "one hundred forty-two billion, eighty-three million, seven hundred thirty-nine thousand, two hundred".