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13809715840 = 275711272393
BaseRepresentation
bin11001101110001111…
…11000101010000000
31022122102102020210001
430313013320222000
5211240241401330
610202154045344
7666134435134
oct146707705200
938572366701
1013809715840
1159472519a8
122814a19854
1313c1076cbb
149501033c4
1555c5979ca
hex3371f8a80

13809715840 has 128 divisors (see below), whose sum is σ = 33756549120. Its totient is φ = 5400944640.

The previous prime is 13809715837. The next prime is 13809715873. The reversal of 13809715840 is 4851790831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 5769684 + ... + 5772076.

It is an arithmetic number, because the mean of its divisors is an integer number (263723040).

Almost surely, 213809715840 is an apocalyptic number.

13809715840 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 13809715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16878274560).

13809715840 is an abundant number, since it is smaller than the sum of its proper divisors (19946833280).

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

13809715840 is a wasteful number, since it uses less digits than its factorization.

13809715840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 13809715840 in words is "thirteen billion, eight hundred nine million, seven hundred fifteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 127 128 142 160 254 284 320 355 508 568 635 640 710 1016 1136 1270 1420 2032 2272 2393 2540 2840 4064 4544 4786 5080 5680 8128 9017 9088 9572 10160 11360 11965 16256 18034 19144 20320 22720 23930 36068 38288 40640 45085 45440 47860 72136 76576 81280 90170 95720 144272 153152 169903 180340 191440 288544 303911 306304 339806 360680 382880 577088 607822 679612 721360 765760 849515 1154176 1215644 1359224 1442720 1519555 1531520 1699030 2431288 2718448 2885440 3039110 3398060 4862576 5436896 5770880 6078220 6796120 9725152 10873792 12156440 13592240 19450304 21577681 21747584 24312880 27184480 38900608 43155362 48625760 54368960 86310724 97251520 107888405 108737920 172621448 194503040 215776810 345242896 431553620 690485792 863107240 1380971584 1726214480 2761943168 3452428960 6904857920 13809715840