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114053540400 = 2434524797349
BaseRepresentation
bin110101000111000011…
…1101110101000110000
3101220101120212011110000
41222032013232220300
53332040201243100
6124221231110000
711145232045332
oct1521607565060
9356346764400
10114053540400
1144408282aa8
121a130372300
13a9a8246317
14573d6b3452
152e77de6900
hex1a8e1eea30

114053540400 has 300 divisors, whose sum is σ = 410239368000. Its totient is φ = 30346652160.

The previous prime is 114053540399. The next prime is 114053540401. The reversal of 114053540400 is 4045350411.

It is a happy number.

114053540400 is a `hidden beast` number, since 11 + 40 + 535 + 40 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (114053540399) and next prime (114053540401).

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114053540401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15515926 + ... + 15523274.

It is an arithmetic number, because the mean of its divisors is an integer number (1367464560).

Almost surely, 2114053540400 is an apocalyptic number.

114053540400 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 114053540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205119684000).

114053540400 is an abundant number, since it is smaller than the sum of its proper divisors (296185827600).

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

114053540400 is a wasteful number, since it uses less digits than its factorization.

114053540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7858 (or 7838 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 114053540400 its reverse (4045350411), we get a palindrome (118098890811).

The spelling of 114053540400 in words is "one hundred fourteen billion, fifty-three million, five hundred forty thousand, four hundred".