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13350311424 = 29324336691
BaseRepresentation
bin11000110111011110…
…11001011000000000
31021110101222002101200
430123233121120000
5204320134431144
610044423301200
7651555526512
oct143357313000
937411862350
1013350311424
1157309a262a
122706baa800
131349b36878
149090b7bb2
1553209cc69
hex31bbd9600

13350311424 has 120 divisors (see below), whose sum is σ = 38624658072. Its totient is φ = 4439162880.

The previous prime is 13350311419. The next prime is 13350311431. The reversal of 13350311424 is 42411305331.

It is a happy number.

13350311424 is a `hidden beast` number, since 13 + 3 + 503 + 1 + 142 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1991919 + ... + 1998609.

Almost surely, 213350311424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13350311424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19312329036).

13350311424 is an abundant number, since it is smaller than the sum of its proper divisors (25274346648).

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

13350311424 is an equidigital number, since it uses as much as digits as its factorization.

13350311424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7148 (or 7129 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 13350311424 its reverse (42411305331), we get a palindrome (55761616755).

The spelling of 13350311424 in words is "thirteen billion, three hundred fifty million, three hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 433 512 576 768 866 1152 1299 1536 1732 2304 2598 3464 3897 4608 5196 6691 6928 7794 10392 13382 13856 15588 20073 20784 26764 27712 31176 40146 41568 53528 55424 60219 62352 80292 83136 107056 110848 120438 124704 160584 166272 214112 221696 240876 249408 321168 332544 428224 481752 498816 642336 665088 856448 963504 997632 1284672 1712896 1927008 1995264 2569344 2897203 3425792 3854016 5138688 5794406 7708032 8691609 10277376 11588812 15416064 17383218 23177624 26074827 30832128 34766436 46355248 52149654 69532872 92710496 104299308 139065744 185420992 208598616 278131488 370841984 417197232 556262976 741683968 834394464 1112525952 1483367936 1668788928 2225051904 3337577856 4450103808 6675155712 13350311424