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141410023200 = 253252196531583
BaseRepresentation
bin1000001110110010110…
…0011011011100100000
3111112000002220110221200
42003230230123130200
54304101431220300
6144543551321200
713134162236055
oct2035454333440
9445002813850
10141410023200
1154a762a9476
12234a5b20200
1310447a3ca54
146bb69cd02c
153a298e6200
hex20ecb1b720

141410023200 has 432 divisors, whose sum is σ = 526027582080. Its totient is φ = 35647395840.

The previous prime is 141410023199. The next prime is 141410023273. The reversal of 141410023200 is 2320014141.

It is a super-2 number, since 2×1414100232002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89329609 + ... + 89331191.

It is an arithmetic number, because the mean of its divisors is an integer number (1217656440).

Almost surely, 2141410023200 is an apocalyptic number.

141410023200 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 141410023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263013791040).

141410023200 is an abundant number, since it is smaller than the sum of its proper divisors (384617558880).

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

141410023200 is a wasteful number, since it uses less digits than its factorization.

141410023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 141410023200 its reverse (2320014141), we get a palindrome (143730037341).

The spelling of 141410023200 in words is "one hundred forty-one billion, four hundred ten million, twenty-three thousand, two hundred".