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13412430000 = 243254149027
BaseRepresentation
bin11000111110111000…
…10111000010110000
31021121201212001001200
430133130113002300
5204432040230000
610054522531200
7653241526314
oct143734270260
937551761050
1013412430000
115762a701a2
122723966b00
131359975c18
14913447b44
1553776d500
hex31f7170b0

13412430000 has 150 divisors (see below), whose sum is σ = 46905519804. Its totient is φ = 3576624000.

The previous prime is 13412429971. The next prime is 13412430043. The reversal of 13412430000 is 3421431.

13412430000 is a `hidden beast` number, since 1 + 341 + 24 + 300 + 0 + 0 = 666.

13412430000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15487 + ... + 164513.

Almost surely, 213412430000 is an apocalyptic number.

13412430000 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 13412430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23452759902).

13412430000 is an abundant number, since it is smaller than the sum of its proper divisors (33493089804).

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

13412430000 is a wasteful number, since it uses less digits than its factorization.

13412430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149061 (or 149037 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13412430000 its reverse (3421431), we get a palindrome (13415851431).

The spelling of 13412430000 in words is "thirteen billion, four hundred twelve million, four hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 149027 298054 447081 596108 745135 894162 1192216 1341243 1490270 1788324 2235405 2384432 2682486 2980540 3576648 3725675 4470810 5364972 5961080 6706215 7153296 7451350 8941620 10729944 11177025 11922160 13412430 14902700 17883240 18628375 21459888 22354050 26824860 29805400 33531075 35766480 37256750 44708100 53649720 55885125 59610800 67062150 74513500 89416200 93141875 107299440 111770250 134124300 149027000 167655375 178832400 186283750 223540500 268248600 279425625 298054000 335310750 372567500 447081000 536497200 558851250 670621500 745135000 838276875 894162000 1117702500 1341243000 1490270000 1676553750 2235405000 2682486000 3353107500 4470810000 6706215000 13412430000