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114143431224420 = 22325133710113053049
BaseRepresentation
bin11001111101000000010110…
…101010111110110001100100
3112222011000010222101121211100
4121331000112222332301210
5104430111221343140140
61042432433550440100
733020406430025013
oct3175002652766144
9488130128347740
10114143431224420
1133407a59238664
1210975918203030
134b8c8aa798090
142028800486a7a
15d2e1ec763530
hex67d016abec64

114143431224420 has 288 divisors, whose sum is σ = 386737645039200. Its totient is φ = 27066800332800.

The previous prime is 114143431224367. The next prime is 114143431224469. The reversal of 114143431224420 is 24422134341411.

114143431224420 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 4 + 3 + 4 + 3 + 1 + 224 + 420 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 26268105558564 + 87875325665856 = 5125242^2 + 9374184^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2218056 + ... + 15271104.

It is an arithmetic number, because the mean of its divisors is an integer number (1342839045275).

Almost surely, 2114143431224420 is an apocalyptic number.

114143431224420 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 114143431224420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193368822519600).

114143431224420 is an abundant number, since it is smaller than the sum of its proper divisors (272594213814780).

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

114143431224420 is a wasteful number, since it uses less digits than its factorization.

114143431224420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13053215 (or 13053210 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 114143431224420 its reverse (24422134341411), we get a palindrome (138565565565831).

The spelling of 114143431224420 in words is "one hundred fourteen trillion, one hundred forty-three billion, four hundred thirty-one million, two hundred twenty-four thousand, four hundred twenty".