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142036744200 = 2335213179071181
BaseRepresentation
bin1000010001001000001…
…1001011100000001000
3111120121210012012112120
42010102003023200020
54311342401303300
6145130100211240
713155542256021
oct2042203134010
9446553165476
10142036744200
115526804820a
122363b999b20
1310517832c90
146c35d2dc48
153a649413a0
hex21120cb808

142036744200 has 384 divisors, whose sum is σ = 503056552320. Its totient is φ = 32842137600.

The previous prime is 142036744093. The next prime is 142036744219. The reversal of 142036744200 is 2447630241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120267610 + ... + 120268790.

It is an arithmetic number, because the mean of its divisors is an integer number (1310043105).

Almost surely, 2142036744200 is an apocalyptic number.

142036744200 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 142036744200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251528276160).

142036744200 is an abundant number, since it is smaller than the sum of its proper divisors (361019808120).

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

142036744200 is a wasteful number, since it uses less digits than its factorization.

142036744200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The spelling of 142036744200 in words is "one hundred forty-two billion, thirty-six million, seven hundred forty-four thousand, two hundred".