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13330040000 = 26541719603
BaseRepresentation
bin11000110101000100…
…00100010011000000
31021101222211012020012
430122202010103000
5204244442240000
610042421004052
7651221320244
oct143242042300
937358735205
1013330040000
115720507392
122700253628
131345889a44
1490651c424
155303e6735
hex31a8844c0

13330040000 has 140 divisors (see below), whose sum is σ = 35000315064. Its totient is φ = 5018112000.

The previous prime is 13330039997. The next prime is 13330040027. The reversal of 13330040000 is 4003331.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 670199 + ... + 689801.

Almost surely, 213330040000 is an apocalyptic number.

13330040000 is a gapful number since it is divisible by the number (10) 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 13330040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17500157532).

13330040000 is an abundant number, since it is smaller than the sum of its proper divisors (21670275064).

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

13330040000 is an equidigital number, since it uses as much as digits as its factorization.

13330040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19652 (or 19627 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 13330040000 its reverse (4003331), we get a palindrome (13334043331).

The spelling of 13330040000 in words is "thirteen billion, three hundred thirty million, forty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 136 160 170 200 250 272 320 340 400 425 500 544 625 680 800 850 1000 1088 1250 1360 1600 1700 2000 2125 2500 2720 3400 4000 4250 5000 5440 6800 8000 8500 10000 10625 13600 17000 19603 20000 21250 27200 34000 39206 40000 42500 68000 78412 85000 98015 136000 156824 170000 196030 313648 333251 340000 392060 490075 627296 666502 680000 784120 980150 1254592 1333004 1568240 1666255 1960300 2450375 2666008 3136480 3332510 3920600 4900750 5332016 6272960 6665020 7841200 8331275 9801500 10664032 12251875 13330040 15682400 16662550 19603000 21328064 24503750 26660080 31364800 33325100 39206000 41656375 49007500 53320160 66650200 78412000 83312750 98015000 106640320 133300400 156824000 166625500 196030000 208281875 266600800 333251000 392060000 416563750 533201600 666502000 784120000 833127500 1333004000 1666255000 2666008000 3332510000 6665020000 13330040000