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14011231133000 = 235354132588441
BaseRepresentation
bin1100101111100011111001…
…1101000101110101001000
31211121110102210021121212102
43023320332131011311020
53314030000132224000
645444400513132532
72644164240405413
oct313707635056510
954543383247772
1014011231133000
114512147780092
1216a3578b5a148
137a833aa1648a
1436620bd06b7a
151946e6de63d5
hexcbe3e745d48

14011231133000 has 64 divisors (see below), whose sum is σ = 32792350471920. Its totient is φ = 5603454912000.

The previous prime is 14011231132949. The next prime is 14011231133021. The reversal of 14011231133000 is 33113211041.

It can be written as a sum of positive squares in 8 ways, for example, as 1600138981156 + 12411092151844 = 1264966^2 + 3522938^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 4118780 + ... + 6707220.

Almost surely, 214011231133000 is an apocalyptic number.

14011231133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14011231133000 is an abundant number, since it is smaller than the sum of its proper divisors (18781119338920).

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

14011231133000 is a wasteful number, since it uses less digits than its factorization.

14011231133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593875 (or 2593861 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 14011231133000 its reverse (33113211041), we get a palindrome (14044344344041).

The spelling of 14011231133000 in words is "fourteen trillion, eleven billion, two hundred thirty-one million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 5413 10826 21652 27065 43304 54130 108260 135325 216520 270650 541300 676625 1082600 1353250 2588441 2706500 5176882 5413000 10353764 12942205 20707528 25884410 51768820 64711025 103537640 129422050 258844100 323555125 517688200 647110250 1294220500 2588441000 14011231133 28022462266 56044924532 70056155665 112089849064 140112311330 280224622660 350280778325 560449245320 700561556650 1401123113300 1751403891625 2802246226600 3502807783250 7005615566500 14011231133000