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14133202023303 = 3311294346438219
BaseRepresentation
bin1100110110101010010001…
…1111000111001110000111
31212001010021011000211121000
43031222210133013032013
53323024244204221203
650020411532424343
72656042631022606
oct315524437071607
955033234024530
1014133202023303
1145599480aa270
1217031389180b3
137b69a832520c
1436c09cccba3d
15197984e0e4a3
hexcdaa47c7387

14133202023303 has 128 divisors (see below), whose sum is σ = 24186843648000. Its totient is φ = 8075159326080.

The previous prime is 14133202023289. The next prime is 14133202023373. The reversal of 14133202023303 is 30332020233141.

14133202023303 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 320 + 2 + 0 + 2 + 330 + 3 = 666.

It is not a de Polignac number, because 14133202023303 - 25 = 14133202023271 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14133202023373) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1719572728 + ... + 1719580946.

It is an arithmetic number, because the mean of its divisors is an integer number (188959716000).

Almost surely, 214133202023303 is an apocalyptic number.

14133202023303 is a deficient number, since it is larger than the sum of its proper divisors (10053641624697).

14133202023303 is a wasteful number, since it uses less digits than its factorization.

14133202023303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12954 (or 12948 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 14133202023303 its reverse (30332020233141), we get a palindrome (44465222256444).

The spelling of 14133202023303 in words is "fourteen trillion, one hundred thirty-three billion, two hundred two million, twenty-three thousand, three hundred three".

Divisors: 1 3 9 11 27 29 33 43 87 99 129 261 297 319 387 473 783 957 1161 1247 1419 2871 3741 4257 4643 8219 8613 11223 12771 13717 13929 24657 33669 41151 41787 51073 73971 90409 123453 125361 134647 153219 199649 221913 238351 271227 353417 370359 403941 459657 598947 715053 813681 1060251 1211823 1378971 1481117 1796841 2145159 2196139 2441043 2621861 3180753 3635469 3887587 4443351 5390523 5789821 6435477 6588417 7865583 9542259 10249093 11662761 13330053 17369463 19765251 23596749 30747279 34988283 38160817 39990159 52108389 59295753 63688031 70790247 92241837 104964849 112740023 114482451 156325167 191064093 276725511 338220069 343447353 419768987 573192279 1014660207 1030342059 1106663693 1259306961 1640915131 1719576837 3043980621 3319991079 3777920883 4922745393 9959973237 11333762649 12173300623 14768236179 18050066441 29879919711 36519901869 44304708537 47586538799 54150199323 109559705607 142759616397 162450597969 328679116821 428278849191 487351793907 523451926789 1284836547573 1570355780367 4711067341101 14133202023303