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142242203240040 = 23357185319999791
BaseRepresentation
bin100000010101111001010111…
…111111110000011001101000
3200122122012222201012210201010
4200111321113333300121220
5122120444013012140130
61222305055512023520
741650442253254241
oct4025712777603150
9618565881183633
10142242203240040
1141360641534102
1213b535aa091ba0
13614a4c7940807
14271a7b8cabcc8
15116a0a5a820b0
hex815e57ff0668

142242203240040 has 256 divisors, whose sum is σ = 433505157120000. Its totient is φ = 37330670361600.

The previous prime is 142242203239993. The next prime is 142242203240107. The reversal of 142242203240040 is 40042302242241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 14527847545 + ... + 14527857335.

It is an arithmetic number, because the mean of its divisors is an integer number (1693379520000).

Almost surely, 2142242203240040 is an apocalyptic number.

142242203240040 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 142242203240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216752578560000).

142242203240040 is an abundant number, since it is smaller than the sum of its proper divisors (291262953879960).

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

142242203240040 is a wasteful number, since it uses less digits than its factorization.

142242203240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12728 (or 12724 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 142242203240040 its reverse (40042302242241), we get a palindrome (182284505482281).

The spelling of 142242203240040 in words is "one hundred forty-two trillion, two hundred forty-two billion, two hundred three million, two hundred forty thousand, forty".