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14000133400 = 23521110975801
BaseRepresentation
bin11010000100111100…
…10001010100011000
31100010200201110120021
431002132101110120
5212133013232100
610233115240224
71003636112311
oct150236212430
940120643507
1014000133400
115a3478a490
122868749074
131421657806
1496b50d608
1556e15ca1a
hex342791518

14000133400 has 96 divisors (see below), whose sum is σ = 35547925680. Its totient is φ = 5085440000.

The previous prime is 14000133383. The next prime is 14000133449. The reversal of 14000133400 is 433100041.

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, 2410500 + ... + 2416300.

Almost surely, 214000133400 is an apocalyptic number.

14000133400 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 14000133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17773962840).

14000133400 is an abundant number, since it is smaller than the sum of its proper divisors (21547792280).

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

14000133400 is a wasteful number, since it uses less digits than its factorization.

14000133400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6925 (or 6916 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 14000133400 its reverse (433100041), we get a palindrome (14433233441).

The spelling of 14000133400 in words is "fourteen billion, one hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1097 1100 2194 2200 4388 5485 5801 8776 10970 11602 12067 21940 23204 24134 27425 29005 43880 46408 48268 54850 58010 60335 63811 96536 109700 116020 120670 127622 145025 219400 232040 241340 255244 290050 301675 319055 482680 510488 580100 603350 638110 1160200 1206700 1276220 1595275 2413400 2552440 3190550 6363697 6381100 12727394 12762200 25454788 31818485 50909576 63636970 70000667 127273940 140001334 159092425 254547880 280002668 318184850 350003335 560005336 636369700 700006670 1272739400 1400013340 1750016675 2800026680 3500033350 7000066700 14000133400