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14535206040 = 23351723213469
BaseRepresentation
bin11011000100101110…
…11010010010011000
31101111222112222020110
431202113122102120
5214232003043130
610402151524320
71023124132665
oct154227322230
941458488213
1014535206040
116189821483
1229979896a0
1314a846c744
149bc5d4a6c
155a1102ab0
hex3625da498

14535206040 has 192 divisors, whose sum is σ = 48268936800. Its totient is φ = 3489181696.

The previous prime is 14535206027. The next prime is 14535206047. The reversal of 14535206040 is 4060253541.

It is a super-2 number, since 2×145352060402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14535205989 and 14535206007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14535206047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1072426 + ... + 1085894.

Almost surely, 214535206040 is an apocalyptic number.

14535206040 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 14535206040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24134468400).

14535206040 is an abundant number, since it is smaller than the sum of its proper divisors (33733730760).

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

14535206040 is a wasteful number, since it uses less digits than its factorization.

14535206040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13546 (or 13519 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 14535206040 its reverse (4060253541), we get a palindrome (18595459581).

The spelling of 14535206040 in words is "fourteen billion, five hundred thirty-five million, two hundred six thousand, forty".