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14311103430030 = 23511371189798519
BaseRepresentation
bin1101000001000001000000…
…1111000111110110001110
31212200010110101220200001220
43100100100033013312032
53333433114434230110
650234232525144210
73004641325025151
oct320202017076616
955603411820056
1014311103430030
114618339884240
1217317076bb066
137ca6ba251ca4
143769380c5c98
1519c3e827c370
hexd04103c7d8e

14311103430030 has 128 divisors (see below), whose sum is σ = 38485373598720. Its totient is φ = 3375273968640.

The previous prime is 14311103430007. The next prime is 14311103430037. The reversal of 14311103430030 is 3003430111341.

It is a super-2 number, since 2×143111034300302 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14311103430037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145213111 + ... + 145311629.

It is an arithmetic number, because the mean of its divisors is an integer number (300666981240).

Almost surely, 214311103430030 is an apocalyptic number.

14311103430030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14311103430030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19242686799360).

14311103430030 is an abundant number, since it is smaller than the sum of its proper divisors (24174270168690).

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

14311103430030 is a wasteful number, since it uses less digits than its factorization.

14311103430030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110474.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 14311103430030 its reverse (3003430111341), we get a palindrome (17314533541371).

The spelling of 14311103430030 in words is "fourteen trillion, three hundred eleven billion, one hundred three million, four hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 2035 2442 4070 6105 11897 12210 23794 35691 59485 71382 98519 118970 130867 178455 197038 261734 295557 356910 392601 440189 492595 591114 654335 785202 880378 985190 1083709 1308670 1320567 1477785 1963005 2167418 2200945 2641134 2955570 3251127 3645203 3926010 4401890 4842079 5418545 6502254 6602835 7290406 9684158 10837090 10935609 13205670 14526237 16255635 18226015 21871218 24210395 29052474 32511270 36452030 40097233 48420790 54678045 72631185 80194466 109356090 120291699 145262370 200486165 240583398 400972330 601458495 1172080543 1202916990 2344161086 3516241629 5860402715 7032483258 11720805430 12892885973 17581208145 25785771946 35162416290 38678657919 43366980091 64464429865 77357315838 86733960182 128928859730 130100940273 193393289595 216834900455 260201880546 386786579190 433669800910 477036781001 650504701365 954073562002 1301009402730 1431110343003 2385183905005 2862220686006 4770367810010 7155551715015 14311103430030