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140233434121140 = 223543591138152699
BaseRepresentation
bin11111111000101010100100…
…000001101100001110110100
3200101112012000010201120001120
4133320222210001230032310
5121340041033113334030
61214130203354223540
741352350140420653
oct3770524401541664
9611465003646046
10140233434121140
1140756735757518
121388a219424bb0
136032c577064b9
14268b49794719a
151132bd7cd2010
hex7f8aa406c3b4

140233434121140 has 192 divisors, whose sum is σ = 412210947456000. Its totient is φ = 35589070411776.

The previous prime is 140233434121127. The next prime is 140233434121181. The reversal of 140233434121140 is 41121434332041.

It is a happy number.

It is a super-2 number, since 2×1402334341211402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13124511 + ... + 21277209.

It is an arithmetic number, because the mean of its divisors is an integer number (2146932018000).

Almost surely, 2140233434121140 is an apocalyptic number.

140233434121140 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 140233434121140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206105473728000).

140233434121140 is an abundant number, since it is smaller than the sum of its proper divisors (271977513334860).

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

140233434121140 is a wasteful number, since it uses less digits than its factorization.

140233434121140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8152926 (or 8152924 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 140233434121140 its reverse (41121434332041), we get a palindrome (181354868453181).

The spelling of 140233434121140 in words is "one hundred forty trillion, two hundred thirty-three billion, four hundred thirty-four million, one hundred twenty-one thousand, one hundred forty".