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142242041040 = 243511101701761
BaseRepresentation
bin1000010001111001001…
…0010100110011010000
3111121011002111100212020
42010132102110303100
54312302430303130
6145202312331440
713163614254051
oct2043622246320
9447132440766
10142242041040
1155362a18820
12236986a3b80
131054b2231b8
146c552d0728
153a77994e10
hex211e494cd0

142242041040 has 320 divisors, whose sum is σ = 487131750144. Its totient is φ = 34048000000.

The previous prime is 142242041033. The next prime is 142242041099. The reversal of 142242041040 is 40140242241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 142242041040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186914260 + ... + 186915020.

Almost surely, 2142242041040 is an apocalyptic number.

142242041040 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 142242041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243565875072).

142242041040 is an abundant number, since it is smaller than the sum of its proper divisors (344889709104).

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

142242041040 is a wasteful number, since it uses less digits than its factorization.

142242041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 142242041040 its reverse (40140242241), we get a palindrome (182382283281).

The spelling of 142242041040 in words is "one hundred forty-two billion, two hundred forty-two million, forty-one thousand, forty".