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1414132300 = 2252712715907
BaseRepresentation
bin101010001001001…
…1111001001001100
310122112221100211101
41110102133021030
510344004213200
6352153432444
750020632460
oct12422371114
93575840741
101414132300
11666271589
1233570b724
13196c89199
14d5b504a0
158423726a
hex5449f24c

1414132300 has 72 divisors (see below), whose sum is σ = 3534884864. Its totient is φ = 480997440.

The previous prime is 1414132289. The next prime is 1414132309. The reversal of 1414132300 is 32314141.

It is not an unprimeable number, because it can be changed into a prime (1414132309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80947 + ... + 96853.

Almost surely, 21414132300 is an apocalyptic number.

1414132300 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 1414132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767442432).

1414132300 is an abundant number, since it is smaller than the sum of its proper divisors (2120752564).

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

1414132300 is a wasteful number, since it uses less digits than its factorization.

1414132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16055 (or 16048 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1414132300 is about 37604.9504719791. The cubic root of 1414132300 is about 1122.4405485681.

Adding to 1414132300 its reverse (32314141), we get a palindrome (1446446441).

The spelling of 1414132300 in words is "one billion, four hundred fourteen million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 127 140 175 254 350 508 635 700 889 1270 1778 2540 3175 3556 4445 6350 8890 12700 15907 17780 22225 31814 44450 63628 79535 88900 111349 159070 222698 318140 397675 445396 556745 795350 1113490 1590700 2020189 2226980 2783725 4040378 5567450 8080756 10100945 11134900 14141323 20201890 28282646 40403780 50504725 56565292 70706615 101009450 141413230 202018900 282826460 353533075 707066150 1414132300