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140042431010020 = 225711833113522901
BaseRepresentation
bin11111110101111000101011…
…010110101001010011100100
3200100211220222210200011220211
4133311320223112221103210
5121323423344314310040
61213502334334505204
741332505663646460
oct3765705326512344
9610756883604824
10140042431010020
1140692730452080
12138591b2965204
13601ac38318516
1426821386ab4a0
15112cc596228ea
hex7f5e2b5a94e4

140042431010020 has 192 divisors, whose sum is σ = 372267365363712. Its totient is φ = 42985016640000.

The previous prime is 140042431009973. The next prime is 140042431010023. The reversal of 140042431010020 is 20010134240041.

It is a happy number.

It is a super-2 number, since 2×1400424310100202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 140042431009973 and 140042431010000.

It is not an unprimeable number, because it can be changed into a prime (140042431010023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37990570 + ... + 41513470.

It is an arithmetic number, because the mean of its divisors is an integer number (1938892527936).

Almost surely, 2140042431010020 is an apocalyptic number.

140042431010020 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 140042431010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186133682681856).

140042431010020 is an abundant number, since it is smaller than the sum of its proper divisors (232224934353692).

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

140042431010020 is a wasteful number, since it uses less digits than its factorization.

140042431010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523322 (or 3523320 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 140042431010020 its reverse (20010134240041), we get a palindrome (160052565250061).

The spelling of 140042431010020 in words is "one hundred forty trillion, forty-two billion, four hundred thirty-one million, ten thousand, twenty".