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14135353200 = 2433521308829
BaseRepresentation
bin11010010101000100…
…00101111101110000
31100111010011100021000
431022202011331300
5212422122300300
610254345402000
71010200343163
oct151242057560
940433140230
1014135353200
115aa4047091
1228a5a99300
131443680127
1498146bada
1557ae6cc00
hex34a885f70

14135353200 has 120 divisors (see below), whose sum is σ = 50311425200. Its totient is φ = 3769424640.

The previous prime is 14135353117. The next prime is 14135353213. The reversal of 14135353200 is 235353141.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643615 + ... + 665214.

Almost surely, 214135353200 is an apocalyptic number.

14135353200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14135353200 is an abundant number, since it is smaller than the sum of its proper divisors (36176072000).

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

14135353200 is a wasteful number, since it uses less digits than its factorization.

14135353200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308856 (or 1308839 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 14135353200 in words is "fourteen billion, one hundred thirty-five million, three hundred fifty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 135 144 150 180 200 216 225 240 270 300 360 400 432 450 540 600 675 720 900 1080 1200 1350 1800 2160 2700 3600 5400 10800 1308829 2617658 3926487 5235316 6544145 7852974 10470632 11779461 13088290 15705948 19632435 20941264 23558922 26176580 31411896 32720725 35338383 39264870 47117844 52353160 58897305 62823792 65441450 70676766 78529740 94235688 98162175 104706320 117794610 130882900 141353532 157059480 176691915 188471376 196324350 235589220 261765800 282707064 294486525 314118960 353383830 392648700 471178440 523531600 565414128 588973050 706767660 785297400 883459575 942356880 1177946100 1413535320 1570594800 1766919150 2355892200 2827070640 3533838300 4711784400 7067676600 14135353200