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114131532400 = 2452285328831
BaseRepresentation
bin110101001001011000…
…1001111101001110000
3101220121000121120100121
41222102301033221300
53332220133014100
6124233054500024
711150200006264
oct1522261175160
9356530546317
10114131532400
11444483025a6
121a152504614
13a9bb452732
145749bb60a4
152e7eba051a
hex1a92c4fa70

114131532400 has 30 divisors (see below), whose sum is σ = 274201007552. Its totient is φ = 45652612800.

The previous prime is 114131532391. The next prime is 114131532409. The reversal of 114131532400 is 4235131411.

It is an interprime number because it is at equal distance from previous prime (114131532391) and next prime (114131532409).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114131532409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142664016 + ... + 142664815.

Almost surely, 2114131532400 is an apocalyptic number.

114131532400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114131532400 is an abundant number, since it is smaller than the sum of its proper divisors (160069475152).

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

114131532400 is a wasteful number, since it uses less digits than its factorization.

114131532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285328849 (or 285328838 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 114131532400 its reverse (4235131411), we get a palindrome (118366663811).

The spelling of 114131532400 in words is "one hundred fourteen billion, one hundred thirty-one million, five hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 285328831 570657662 1141315324 1426644155 2282630648 2853288310 4565261296 5706576620 7133220775 11413153240 14266441550 22826306480 28532883100 57065766200 114131532400