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140122140144 = 2437173292927
BaseRepresentation
bin1000001001111111101…
…1100010110111110000
3111101200100112020112020
42002133323202313300
54243432231441034
6144212103431440
713060233353010
oct2023773426760
9441610466466
10140122140144
1154475327908
12231a6755580
13102a0c8807c
146ad3943c40
1539a17eb249
hex209fee2df0

140122140144 has 320 divisors, whose sum is σ = 454856601600. Its totient is φ = 36368166912.

The previous prime is 140122140133. The next prime is 140122140167. The reversal of 140122140144 is 441041221041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47870809 + ... + 47873735.

It is an arithmetic number, because the mean of its divisors is an integer number (1421426880).

Almost surely, 2140122140144 is an apocalyptic number.

140122140144 is a gapful number since it is divisible by the number (14) 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 140122140144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227428300800).

140122140144 is an abundant number, since it is smaller than the sum of its proper divisors (314734461456).

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

140122140144 is a wasteful number, since it uses less digits than its factorization.

140122140144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3025 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 140122140144 its reverse (441041221041), we get a palindrome (581163361185).

The spelling of 140122140144 in words is "one hundred forty billion, one hundred twenty-two million, one hundred forty thousand, one hundred forty-four".