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13303343424 = 263711938297
BaseRepresentation
bin11000110001111000…
…01110100101000000
31021100010120212102010
430120330032211000
5204221123442144
610040024452520
7650445360540
oct143074164500
937303525363
1013303343424
1157074328a8
1226b331a140
1313401a0557
14902b6d320
1552cdc15b9
hex318f0e940

13303343424 has 112 divisors (see below), whose sum is σ = 40265347968. Its totient is φ = 3797311488.

The previous prime is 13303343393. The next prime is 13303343477. The reversal of 13303343424 is 42434330331.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 13303343391 and 13303343400.

It is a congruent number.

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, 1599244 + ... + 1607540.

Almost surely, 213303343424 is an apocalyptic number.

13303343424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13303343424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20132673984).

13303343424 is an abundant number, since it is smaller than the sum of its proper divisors (26962004544).

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

13303343424 is a wasteful number, since it uses less digits than its factorization.

13303343424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9512 (or 9502 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 13303343424 its reverse (42434330331), we get a palindrome (55737673755).

The spelling of 13303343424 in words is "thirteen billion, three hundred three million, three hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1193 1344 2386 3579 4772 7158 8297 8351 9544 14316 16594 16702 19088 24891 25053 28632 33188 33404 38176 49782 50106 57264 58079 66376 66808 76352 99564 100212 114528 116158 132752 133616 174237 199128 200424 229056 232316 265504 267232 348474 398256 400848 464632 531008 534464 696948 796512 801696 929264 1393896 1593024 1603392 1858528 2787792 3717056 5575584 9898321 11151168 19796642 29694963 39593284 59389926 69288247 79186568 118779852 138576494 158373136 207864741 237559704 277152988 316746272 415729482 475119408 554305976 633492544 831458964 950238816 1108611952 1662917928 1900477632 2217223904 3325835856 4434447808 6651671712 13303343424