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140023123301424 = 243111947307967333
BaseRepresentation
bin11111110101100110101100…
…100001100101010000110000
3200100210002011012210221221110
4133311212230201211100300
5121323114324031121144
61213445422415353320
741331223346100036
oct3765465441452060
9610702135727843
10140023123301424
1140685522787910
1213855504822840
13601917c1b138c
142681226314556
15112c4c95550b9
hex7f59ac865430

140023123301424 has 320 divisors, whose sum is σ = 425599719874560. Its totient is φ = 39214555868160.

The previous prime is 140023123301353. The next prime is 140023123301437. The reversal of 140023123301424 is 424103321320041.

It is a junction number, because it is equal to n+sod(n) for n = 140023123301391 and 140023123301400.

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, 144268062 + ... + 145235394.

It is an arithmetic number, because the mean of its divisors is an integer number (1329999124608).

Almost surely, 2140023123301424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140023123301424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212799859937280).

140023123301424 is an abundant number, since it is smaller than the sum of its proper divisors (285576596573136).

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

140023123301424 is a wasteful number, since it uses less digits than its factorization.

140023123301424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967728 (or 967722 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 140023123301424 its reverse (424103321320041), we get a palindrome (564126444621465).

The spelling of 140023123301424 in words is "one hundred forty trillion, twenty-three billion, one hundred twenty-three million, three hundred one thousand, four hundred twenty-four".