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140023341330400 = 25521131836184121
BaseRepresentation
bin11111110101100110111001…
…100001010010111111100000
3200100210002201102001222110201
4133311212321201102333200
5121323120300340033100
61213445500204434544
741331231634234033
oct3765467141227740
9610702642058421
10140023341330400
1140685624864250
1213855565848a54
1360191b540b8c8
14268124726b01a
15112c4dd77136a
hex7f59b9852fe0

140023341330400 has 288 divisors, whose sum is σ = 389574751620096. Its totient is φ = 48681392640000.

The previous prime is 140023341330373. The next prime is 140023341330487. The reversal of 140023341330400 is 4033143320041.

It is a super-2 number, since 2×1400233413304002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19550340 + ... + 25734460.

It is an arithmetic number, because the mean of its divisors is an integer number (1352690109792).

Almost surely, 2140023341330400 is an apocalyptic number.

140023341330400 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 140023341330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194787375810048).

140023341330400 is an abundant number, since it is smaller than the sum of its proper divisors (249551410289696).

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

140023341330400 is a wasteful number, since it uses less digits than its factorization.

140023341330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6184266 (or 6184253 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 140023341330400 its reverse (4033143320041), we get a palindrome (144056484650441).

The spelling of 140023341330400 in words is "one hundred forty trillion, twenty-three billion, three hundred forty-one million, three hundred thirty thousand, four hundred".