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114325053444 = 2232721961199281
BaseRepresentation
bin110101001111001001…
…1011110000000000100
3101221002111202110022200
41222132103132000010
53333114203202234
6124304210354500
711155036630500
oct1523623360004
9357074673280
10114325053444
114453756a848
121a1a728ba30
13aa1c57ba24
14576778d300
152e91b79d99
hex1a9e4de004

114325053444 has 432 divisors, whose sum is σ = 362758032000. Its totient is φ = 30177100800.

The previous prime is 114325053443. The next prime is 114325053457. The reversal of 114325053444 is 444350523411.

114325053444 is a `hidden beast` number, since 1 + 1 + 4 + 32 + 50 + 534 + 44 = 666.

114325053444 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 2×1143250534442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114325053399 and 114325053408.

It is not an unprimeable number, because it can be changed into a prime (114325053443) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 406850584 + ... + 406850864.

Almost surely, 2114325053444 is an apocalyptic number.

114325053444 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 114325053444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181379016000).

114325053444 is an abundant number, since it is smaller than the sum of its proper divisors (248432978556).

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

114325053444 is a wasteful number, since it uses less digits than its factorization.

114325053444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 114325053444 its reverse (444350523411), we get a palindrome (558675576855).

The spelling of 114325053444 in words is "one hundred fourteen billion, three hundred twenty-five million, fifty-three thousand, four hundred forty-four".