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14033041022440 = 23511217170552273
BaseRepresentation
bin1100110000110101001001…
…1011001101110111101000
31211200112201202102210200101
43030031102123031313220
53314404132000204230
645502405014515144
72645565560406046
oct314152233156750
954615652383611
1014033041022440
1145204198a8900
1216a7845065ab4
137aa4053645bb
143672ba71b396
151950719c0aca
hexcc3526cdde8

14033041022440 has 96 divisors (see below), whose sum is σ = 36747192956040. Its totient is φ = 4802751979520.

The previous prime is 14033041022401. The next prime is 14033041022453. The reversal of 14033041022440 is 4422014033041.

It can be written as a sum of positive squares in 4 ways, for example, as 13307072268996 + 725968753444 = 3647886^2 + 852038^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14033041022399 and 14033041022408.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 85193857 + ... + 85358416.

Almost surely, 214033041022440 is an apocalyptic number.

14033041022440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14033041022440 is an abundant number, since it is smaller than the sum of its proper divisors (22714151933600).

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

14033041022440 is a wasteful number, since it uses less digits than its factorization.

14033041022440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170552323 (or 170552308 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 14033041022440 its reverse (4422014033041), we get a palindrome (18455055055481).

The spelling of 14033041022440 in words is "fourteen trillion, thirty-three billion, forty-one million, twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 121 136 170 187 220 242 340 374 440 484 605 680 748 935 968 1210 1496 1870 2057 2420 3740 4114 4840 7480 8228 10285 16456 20570 41140 82280 170552273 341104546 682209092 852761365 1364418184 1705522730 1876075003 2899388641 3411045460 3752150006 5798777282 6822090920 7504300012 9380375015 11597554564 14496943205 15008600024 18760750030 20636825033 23195109128 28993886410 31893275051 37521500060 41273650066 57987772820 63786550102 75043000120 82547300132 103184125165 115975545640 127573100204 159466375255 165094600264 206368250330 255146200408 318932750510 350826025561 412736500660 637865501020 701652051122 825473001320 1275731002040 1403304102244 1754130127805 2806608204488 3508260255610 7016520511220 14033041022440