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114424310000 = 24547211132371
BaseRepresentation
bin110101010010000111…
…0000110100011110000
3101221100102112012201102
41222210032012203300
53333320110410000
6124322114023532
711160353405300
oct1524416064360
9357312465642
10114424310000
11445885a3760
121a214577ba8
13aa36cc2010
145776a29600
152e9a7343d5
hex1aa43868f0

114424310000 has 1200 divisors, whose sum is σ = 400627358208. Its totient is φ = 31046400000.

The previous prime is 114424309949. The next prime is 114424310029. The reversal of 114424310000 is 13424411.

It is a super-2 number, since 2×1144243100002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1611609965 + ... + 1611610035.

Almost surely, 2114424310000 is an apocalyptic number.

114424310000 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 114424310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200313679104).

114424310000 is an abundant number, since it is smaller than the sum of its proper divisors (286203048208).

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

114424310000 is a wasteful number, since it uses less digits than its factorization.

114424310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 114424310000 its reverse (13424411), we get a palindrome (114437734411).

It can be divided in two parts, 114424 and 310000, that added together give a palindrome (424424).

The spelling of 114424310000 in words is "one hundred fourteen billion, four hundred twenty-four million, three hundred ten thousand".