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140022030000020 = 225723147531850269
BaseRepresentation
bin11111110101100101101011…
…010110111101111110010100
3200100202222100000120111100212
4133311211223112331332110
5121323110104140000040
61213445122122224552
741331154302143300
oct3765455326757624
9610688300514325
10140022030000020
1140685011628333
121385525a655158
13601903683767c
14268116103ad00
15112c463593d65
hex7f596b5bdf94

140022030000020 has 288 divisors, whose sum is σ = 367404294942720. Its totient is φ = 44612477844480.

The previous prime is 140022030000011. The next prime is 140022030000031. The reversal of 140022030000020 is 20000030220041.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74751446 + ... + 76601714.

It is an arithmetic number, because the mean of its divisors is an integer number (1275709357440).

Almost surely, 2140022030000020 is an apocalyptic number.

140022030000020 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 140022030000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183702147471360).

140022030000020 is an abundant number, since it is smaller than the sum of its proper divisors (227382264942700).

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

140022030000020 is a wasteful number, since it uses less digits than its factorization.

140022030000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850423 (or 1850414 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 140022030000020 its reverse (20000030220041), we get a palindrome (160022060220061).

The spelling of 140022030000020 in words is "one hundred forty trillion, twenty-two billion, thirty million, twenty", and thus it is an aban number.