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140022321023000 = 2353131723211313037
BaseRepresentation
bin11111110101100101111100…
…101101001000100000011000
3200100210000002022011222211202
4133311211330231020200120
5121323111203140214000
61213445211040013332
741331164434613633
oct3765457455104030
9610700068158752
10140022321023000
1140685150930199
1213855320001248
136019081c11410
14268118b954c1a
15112c47ddccdd5
hex7f597cb48818

140022321023000 has 512 divisors, whose sum is σ = 390070942410240. Its totient is φ = 46518121267200.

The previous prime is 140022321022979. The next prime is 140022321023027. The reversal of 140022321023000 is 320123220041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10740372482 + ... + 10740385518.

It is an arithmetic number, because the mean of its divisors is an integer number (761857309395).

Almost surely, 2140022321023000 is an apocalyptic number.

140022321023000 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 140022321023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195035471205120).

140022321023000 is an abundant number, since it is smaller than the sum of its proper divisors (250048621387240).

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

140022321023000 is a wasteful number, since it uses less digits than its factorization.

140022321023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15224 (or 15210 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 140022321023000 its reverse (320123220041), we get a palindrome (140342444243041).

The spelling of 140022321023000 in words is "one hundred forty trillion, twenty-two billion, three hundred twenty-one million, twenty-three thousand".