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13303044224 = 271492692593
BaseRepresentation
bin11000110001110110…
…00101100010000000
31021100010000122222122
430120323011202000
5204221034403344
610040014223412
7650443003331
oct143073054200
937303018878
1013303044224
115707249028
1226b31b4b68
1313400c7302
14902ad2288
1552cd62aee
hex318ec5880

13303044224 has 64 divisors (see below), whose sum is σ = 26789535000. Its totient is φ = 6579781632.

The previous prime is 13303044211. The next prime is 13303044277. The reversal of 13303044224 is 42244030331.

It can be written as a sum of positive squares in 4 ways, for example, as 6172930624 + 7130113600 = 78568^2 + 84440^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 13303044193 and 13303044202.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5129072 + ... + 5131664.

Almost surely, 213303044224 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 13303044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13394767500).

13303044224 is an abundant number, since it is smaller than the sum of its proper divisors (13486490776).

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

13303044224 is a wasteful number, since it uses less digits than its factorization.

13303044224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3025 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 13303044224 its reverse (42244030331), we get a palindrome (55547074555).

The spelling of 13303044224 in words is "thirteen billion, three hundred three million, forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 149 269 298 538 596 1076 1192 2152 2384 2593 4304 4768 5186 8608 9536 10372 17216 19072 20744 34432 40081 41488 80162 82976 160324 165952 320648 331904 386357 641296 697517 772714 1282592 1395034 1545428 2565184 2790068 3090856 5130368 5580136 6181712 11160272 12363424 22320544 24726848 44641088 49453696 89282176 103930033 207860066 415720132 831440264 1662880528 3325761056 6651522112 13303044224