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13413421224 = 23327265910009
BaseRepresentation
bin11000111111000000…
…01001000010101000
31021121210201101202200
430133200021002220
5204432313434344
610055000100200
7653253125220
oct143740110250
937553641680
1013413421224
115763587995
122724164660
131359c32148
14913625080
155378b7069
hex31f8090a8

13413421224 has 96 divisors (see below), whose sum is σ = 41537496000. Its totient is φ = 3830582016.

The previous prime is 13413421223. The next prime is 13413421283. The reversal of 13413421224 is 42212431431.

13413421224 is a `hidden beast` number, since 1 + 3 + 4 + 13 + 421 + 224 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13413421223) 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, 1335132 + ... + 1345140.

It is an arithmetic number, because the mean of its divisors is an integer number (432682250).

Almost surely, 213413421224 is an apocalyptic number.

13413421224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13413421224 is an abundant number, since it is smaller than the sum of its proper divisors (28124074776).

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

13413421224 is a wasteful number, since it uses less digits than its factorization.

13413421224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12687 (or 12680 counting only the distinct ones).

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

Adding to 13413421224 its reverse (42212431431), we get a palindrome (55625852655).

The spelling of 13413421224 in words is "thirteen billion, four hundred thirteen million, four hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 2659 5318 7977 10009 10636 15954 18613 20018 21272 23931 30027 31908 37226 40036 47862 55839 60054 63816 70063 74452 80072 90081 95724 111678 120108 140126 148904 167517 180162 191448 210189 223356 240216 280252 335034 360324 420378 446712 560504 630567 670068 720648 840756 1261134 1340136 1681512 2522268 5044536 26613931 53227862 79841793 106455724 159683586 186297517 212911448 239525379 319367172 372595034 479050758 558892551 638734344 745190068 958101516 1117785102 1490380136 1676677653 1916203032 2235570204 3353355306 4471140408 6706710612 13413421224