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114201430001340 = 2235114117232449393
BaseRepresentation
bin11001111101110110010111…
…101010110000011010111100
3112222100112212000022202121020
4121331312113222300122330
5104432034012040020330
61042515225045504140
733024531616345053
oct3175662752603274
9488315760282536
10114201430001340
113342a611013150
1210985003a12050
134b951c17402a6
14202b54324339a
15d30994461210
hex67dd97ab06bc

114201430001340 has 192 divisors, whose sum is σ = 357549133036032. Its totient is φ = 26994259353600.

The previous prime is 114201430001311. The next prime is 114201430001369. The reversal of 114201430001340 is 43100034102411.

It is an interprime number because it is at equal distance from previous prime (114201430001311) and next prime (114201430001369).

It is a super-2 number, since 2×1142014300013402 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114201430001340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45399684 + ... + 47849076.

It is an arithmetic number, because the mean of its divisors is an integer number (1862235067896).

Almost surely, 2114201430001340 is an apocalyptic number.

114201430001340 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 114201430001340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178774566518016).

114201430001340 is an abundant number, since it is smaller than the sum of its proper divisors (243347703034692).

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

114201430001340 is a wasteful number, since it uses less digits than its factorization.

114201430001340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451180 (or 2451178 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 114201430001340 its reverse (43100034102411), we get a palindrome (157301464103751).

The spelling of 114201430001340 in words is "one hundred fourteen trillion, two hundred one billion, four hundred thirty million, one thousand, three hundred forty".