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14830142628411 = 33111722912826391
BaseRepresentation
bin1101011111001110100101…
…1000100010001000111011
31221111202012010201212112000
43113303221120202020323
53420434113003102121
651312512400352043
73060304521306525
oct327635130421073
957452163655460
1014830142628411
1147a8478990230
1217b6220915623
138376269b3206
14393ad5b68a15
151aab755de526
hexd7ce962223b

14830142628411 has 64 divisors (see below), whose sum is σ = 25488606182400. Its totient is φ = 8422320729600.

The previous prime is 14830142628407. The next prime is 14830142628463. The reversal of 14830142628411 is 11482624103841.

14830142628411 is a `hidden beast` number, since 1 + 4 + 8 + 3 + 0 + 1 + 4 + 2 + 628 + 4 + 11 = 666.

It is not a de Polignac number, because 14830142628411 - 22 = 14830142628407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14830142628481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5256975 + ... + 7569416.

It is an arithmetic number, because the mean of its divisors is an integer number (398259471600).

Almost surely, 214830142628411 is an apocalyptic number.

14830142628411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14830142628411 is a deficient number, since it is larger than the sum of its proper divisors (10658463553989).

14830142628411 is a wasteful number, since it uses less digits than its factorization.

14830142628411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12826657 (or 12826651 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 14830142628411 in words is "fourteen trillion, eight hundred thirty billion, one hundred forty-two million, six hundred twenty-eight thousand, four hundred eleven".

Divisors: 1 3 9 11 17 27 33 51 99 153 187 229 297 459 561 687 1683 2061 2519 3893 5049 6183 7557 11679 22671 35037 42823 68013 105111 128469 385407 1156221 12826391 38479173 115437519 141090301 218048647 346312557 423270903 654145941 1269812709 1962437823 2398535117 2937243539 3809438127 5887313469 7195605351 8811730617 21586816053 26435191851 32309678929 49933140163 64760448159 79305575553 96929036787 149799420489 290787110361 449398261467 549264541793 872361331083 1348194784401 1647793625379 4943380876137 14830142628411