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300144141210 = 235234123894441
BaseRepresentation
bin1000101111000011111…
…11000010001110011010
31001200201120011011022110
410113201333002032122
514404143400004320
6345515002333150
730453565051164
oct4274177021632
91050646134273
10300144141210
111063215a7771
124a2057ba1b6
13223c3958b74
1410754343934
157c1a1825e0
hex45e1fc239a

300144141210 has 128 divisors (see below), whose sum is σ = 770494394880. Its totient is φ = 74643148800.

The previous prime is 300144141181. The next prime is 300144141211. The reversal of 300144141210 is 12141441003.

300144141210 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (300144141211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67582590 + ... + 67587030.

It is an arithmetic number, because the mean of its divisors is an integer number (6019487460).

Almost surely, 2300144141210 is an apocalyptic number.

300144141210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 300144141210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385247197440).

300144141210 is an abundant number, since it is smaller than the sum of its proper divisors (470350253670).

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

300144141210 is a wasteful number, since it uses less digits than its factorization.

300144141210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6904.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 300144141210 its reverse (12141441003), we get a palindrome (312285582213).

The spelling of 300144141210 in words is "three hundred billion, one hundred forty-four million, one hundred forty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 41 46 69 82 115 123 138 205 230 246 345 410 615 690 943 1230 1886 2389 2829 4441 4715 4778 5658 7167 8882 9430 11945 13323 14145 14334 22205 23890 26646 28290 35835 44410 54947 66615 71670 97949 102143 109894 133230 164841 182081 195898 204286 274735 293847 306429 329682 364162 489745 510715 546243 549470 587694 612858 824205 910405 979490 1021430 1092486 1469235 1532145 1648410 1820810 2252827 2731215 2938470 3064290 4187863 4505654 5462430 6758481 8375726 10609549 11264135 12563589 13516962 20939315 21219098 22528270 25127178 31828647 33792405 41878630 53047745 62817945 63657294 67584810 106095490 125635890 159143235 244019627 318286470 434991509 488039254 732058881 869983018 1220098135 1304974527 1464117762 2174957545 2440196270 2609949054 3660294405 4349915090 6524872635 7320588810 10004804707 13049745270 20009609414 30014414121 50024023535 60028828242 100048047070 150072070605 300144141210