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114140401020 = 223353141166303
BaseRepresentation
bin110101001001101001…
…1000100110101111100
3101220121122022010211000
41222103103010311330
53332224420313040
6124234012530300
711150335254312
oct1522323046574
9356548263730
10114140401020
114445230a738
121a155480990
13a9c0239339
14574b0440b2
152e80853130
hex1a934c4d7c

114140401020 has 192 divisors, whose sum is σ = 375501127680. Its totient is φ = 28736985600.

The previous prime is 114140401009. The next prime is 114140401043. The reversal of 114140401020 is 20104041411.

114140401020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1141404010202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114140400984 and 114140401002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 603189 + ... + 769491.

It is an arithmetic number, because the mean of its divisors is an integer number (1955735040).

Almost surely, 2114140401020 is an apocalyptic number.

114140401020 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 114140401020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187750563840).

114140401020 is an abundant number, since it is smaller than the sum of its proper divisors (261360726660).

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

114140401020 is a wasteful number, since it uses less digits than its factorization.

114140401020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166393 (or 166385 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 114140401020 its reverse (20104041411), we get a palindrome (134244442431).

The spelling of 114140401020 in words is "one hundred fourteen billion, one hundred forty million, four hundred one thousand, twenty".