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144303412410 = 2345379470059
BaseRepresentation
bin1000011001100100100…
…1110101010010111010
3111210110202022212210000
42012121021311102322
54331013133144120
6150143030533430
713265654524113
oct2063111652272
9453422285700
10144303412410
1156220572623
1223b72b07276
13107b9307781
146dacda320a
153b4892b990
hex21992754ba

144303412410 has 80 divisors (see below), whose sum is σ = 389040458400. Its totient is φ = 38379295584.

The previous prime is 144303412387. The next prime is 144303412423. The reversal of 144303412410 is 14214303441.

144303412410 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71961 + ... + 542019.

It is an arithmetic number, because the mean of its divisors is an integer number (4863005730).

Almost surely, 2144303412410 is an apocalyptic number.

144303412410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144303412410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194520229200).

144303412410 is an abundant number, since it is smaller than the sum of its proper divisors (244737045990).

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

144303412410 is a wasteful number, since it uses less digits than its factorization.

144303412410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470457 (or 470448 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 144303412410 its reverse (14214303441), we get a palindrome (158517715851).

The spelling of 144303412410 in words is "one hundred forty-four billion, three hundred three million, four hundred twelve thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 379 405 758 810 1137 1895 2274 3411 3790 5685 6822 10233 11370 17055 20466 30699 34110 51165 61398 102330 153495 306990 470059 940118 1410177 2350295 2820354 4230531 4700590 7050885 8461062 12691593 14101770 21152655 25383186 38074779 42305310 63457965 76149558 126915930 178152361 190373895 356304722 380747790 534457083 890761805 1068914166 1603371249 1781523610 2672285415 3206742498 4810113747 5344570830 8016856245 9620227494 14430341241 16033712490 24050568735 28860682482 48101137470 72151706205 144303412410