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13430445440 = 27541511831
BaseRepresentation
bin11001000001000010…
…00101010110000000
31021122222202022121012
430200201011112000
5210001143223230
610100405020052
7653550621416
oct144041052600
937588668535
1013430445440
115772155495
1227299b4628
131360612c49
149159b72b6
1553912b395
hex320845580

13430445440 has 64 divisors (see below), whose sum is σ = 32890324320. Its totient is φ = 5241139200.

The previous prime is 13430445439. The next prime is 13430445491. The reversal of 13430445440 is 4454403431.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 13430445397 and 13430445406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229676 + ... + 282155.

Almost surely, 213430445440 is an apocalyptic number.

13430445440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13430445440 is an abundant number, since it is smaller than the sum of its proper divisors (19459878880).

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

13430445440 is an equidigital number, since it uses as much as digits as its factorization.

13430445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511891 (or 511879 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 13430445440 its reverse (4454403431), we get a palindrome (17884848871).

The spelling of 13430445440 in words is "thirteen billion, four hundred thirty million, four hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 320 328 410 640 656 820 1312 1640 2624 3280 5248 6560 13120 26240 511831 1023662 2047324 2559155 4094648 5118310 8189296 10236620 16378592 20473240 20985071 32757184 40946480 41970142 65514368 81892960 83940284 104925355 163785920 167880568 209850710 327571840 335761136 419701420 671522272 839402840 1343044544 1678805680 2686089088 3357611360 6715222720 13430445440