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13144201224 = 2337117112663
BaseRepresentation
bin11000011110111010…
…01001100000001000
31020221001010121100120
430033131021200020
5203404403414344
610012141503240
7643503603240
oct141735114010
936831117316
1013144201224
115635616a20
122669b71b20
13131622037b
148c9984b20
1551de38219
hex30f749808

13144201224 has 64 divisors (see below), whose sum is σ = 40968944640. Its totient is φ = 3414077760.

The previous prime is 13144201201. The next prime is 13144201237. The reversal of 13144201224 is 42210244131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13144201194 and 13144201203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3554484 + ... + 3558179.

It is an arithmetic number, because the mean of its divisors is an integer number (640139760).

Almost surely, 213144201224 is an apocalyptic number.

13144201224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13144201224 is an abundant number, since it is smaller than the sum of its proper divisors (27824743416).

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

13144201224 is a wasteful number, since it uses less digits than its factorization.

13144201224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7112690 (or 7112686 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 13144201224 its reverse (42210244131), we get a palindrome (55354445355).

The spelling of 13144201224 in words is "thirteen billion, one hundred forty-four million, two hundred one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 7112663 14225326 21337989 28450652 42675978 49788641 56901304 78239293 85351956 99577282 149365923 156478586 170703912 199154564 234717879 298731846 312957172 398309128 469435758 547675051 597463692 625914344 938871516 1095350102 1194927384 1643025153 1877743032 2190700204 3286050306 4381400408 6572100612 13144201224