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141415300 = 225213181601
BaseRepresentation
bin10000110110111…
…01001110000100
3100212002122022201
420123131032010
5242200242200
622011004244
73335003335
oct1033351604
9325078281
10141415300
1172909454
123b439684
13233b45c0
1414ad228c
15c635c6a
hex86dd384

141415300 has 72 divisors (see below), whose sum is σ = 332855432. Its totient is φ = 51840000.

The previous prime is 141415283. The next prime is 141415301. The reversal of 141415300 is 3514141.

It can be written as a sum of positive squares in 12 ways, for example, as 84382596 + 57032704 = 9186^2 + 7552^2 .

It is not an unprimeable number, because it can be changed into a prime (141415301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235000 + ... + 235600.

Almost surely, 2141415300 is an apocalyptic number.

141415300 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 141415300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166427716).

141415300 is an abundant number, since it is smaller than the sum of its proper divisors (191440132).

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

141415300 is a wasteful number, since it uses less digits than its factorization.

141415300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 141415300 is about 11891.8165138889. The cubic root of 141415300 is about 520.9932937295.

Adding to 141415300 its reverse (3514141), we get a palindrome (144929441).

The spelling of 141415300 in words is "one hundred forty-one million, four hundred fifteen thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 181 260 325 362 601 650 724 905 1202 1300 1810 2353 2404 3005 3620 4525 4706 6010 7813 9050 9412 11765 12020 15025 15626 18100 23530 30050 31252 39065 47060 58825 60100 78130 108781 117650 156260 195325 217562 235300 390650 435124 543905 781300 1087810 1414153 2175620 2719525 2828306 5439050 5656612 7070765 10878100 14141530 28283060 35353825 70707650 141415300