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142240122543200 = 255211113419487701
BaseRepresentation
bin100000010101110111011011…
…111110100001110001100000
3200122122000121201000110020012
4200111313123332201301200
5122120430232332340300
61222304113223304052
741650336556524553
oct4025673376416140
9618560551013205
10142240122543200
114135a773a8a840
1213b531092ab028
13614a255850b56
14271a65c80869a
151169ed307e435
hex815ddbfa1c60

142240122543200 has 576 divisors, whose sum is σ = 384409901191680. Its totient is φ = 50965770240000.

The previous prime is 142240122543151. The next prime is 142240122543247. The reversal of 142240122543200 is 2345221042241.

142240122543200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1422401225432002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 202910302850 + ... + 202910303550.

It is an arithmetic number, because the mean of its divisors is an integer number (667378300680).

Almost surely, 2142240122543200 is an apocalyptic number.

142240122543200 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 142240122543200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192204950595840).

142240122543200 is an abundant number, since it is smaller than the sum of its proper divisors (242169778648480).

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

142240122543200 is a wasteful number, since it uses less digits than its factorization.

142240122543200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 142240122543200 its reverse (2345221042241), we get a palindrome (144585343585441).

The spelling of 142240122543200 in words is "one hundred forty-two trillion, two hundred forty billion, one hundred twenty-two million, five hundred forty-three thousand, two hundred".