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13843998720 = 211325150217
BaseRepresentation
bin11001110010010101…
…01010100000000000
31022201210221000001100
430321022222200000
5211323030424340
610205420534400
71000032022206
oct147112524000
938653830040
1013843998720
115964638162
1228243b1400
1313c81bb526
149548a9076
155605ba830
hex3392aa800

13843998720 has 144 divisors (see below), whose sum is σ = 47981131380. Its totient is φ = 3691708416.

The previous prime is 13843998713. The next prime is 13843998731. The reversal of 13843998720 is 2789934831.

13843998720 is a `hidden beast` number, since 138 + 439 + 9 + 8 + 72 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11747091456 + 2096907264 = 108384^2 + 45792^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17052 + ... + 167268.

Almost surely, 213843998720 is an apocalyptic number.

13843998720 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 13843998720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23990565690).

13843998720 is an abundant number, since it is smaller than the sum of its proper divisors (34137132660).

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

13843998720 is a wasteful number, since it uses less digits than its factorization.

13843998720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150250 (or 150227 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 13843998720 in words is "thirteen billion, eight hundred forty-three million, nine hundred ninety-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4608 5120 5760 6144 7680 9216 10240 11520 15360 18432 23040 30720 46080 92160 150217 300434 450651 600868 751085 901302 1201736 1351953 1502170 1802604 2253255 2403472 2703906 3004340 3605208 4506510 4806944 5407812 6008680 6759765 7210416 9013020 9613888 10815624 12017360 13519530 14420832 18026040 19227776 21631248 24034720 27039060 28841664 36052080 38455552 43262496 48069440 54078120 57683328 72104160 76911104 86524992 96138880 108156240 115366656 144208320 153822208 173049984 192277760 216312480 230733312 288416640 307644416 346099968 384555520 432624960 461466624 576833280 692199936 769111040 865249920 922933248 1153666560 1384399872 1538222080 1730499840 2307333120 2768799744 3460999680 4614666240 6921999360 13843998720