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14311032040305 = 3457111335300581
BaseRepresentation
bin1101000001000000101111…
…1110110010101101110001
31212200010021102120200210000
43100100023332302231301
53333432443200242210
650234221455100213
73004636500152640
oct320201376625561
955603242520700
1014311032040305
114618302554070
1217316a7811669
137ca6a8517a50
1437692c821357
1519c3e1d79ac0
hexd040bfb2b71

14311032040305 has 160 divisors (see below), whose sum is σ = 34444331083008. Its totient is φ = 5489946201600.

The previous prime is 14311032040301. The next prime is 14311032040367. The reversal of 14311032040305 is 50304023011341.

It is a happy number.

14311032040305 is a `hidden beast` number, since 1 + 4 + 31 + 1 + 0 + 320 + 4 + 0 + 305 = 666.

14311032040305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14311032040305 - 22 = 14311032040301 is a prime.

It is a super-2 number, since 2×143110320403052 (a number of 27 digits) contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14311032040301) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17244886 + ... + 18055695.

Almost surely, 214311032040305 is an apocalyptic number.

14311032040305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14311032040305 is an abundant number, since it is smaller than the sum of its proper divisors (20133299042703).

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

14311032040305 is a wasteful number, since it uses less digits than its factorization.

14311032040305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35300629 (or 35300620 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 14311032040305 its reverse (50304023011341), we get a palindrome (64615055051646).

The spelling of 14311032040305 in words is "fourteen trillion, three hundred eleven billion, thirty-two million, forty thousand, three hundred five".

Divisors: 1 3 5 7 9 11 13 15 21 27 33 35 39 45 55 63 65 77 81 91 99 105 117 135 143 165 189 195 231 273 297 315 351 385 405 429 455 495 567 585 693 715 819 891 945 1001 1053 1155 1287 1365 1485 1755 2079 2145 2457 2835 3003 3465 3861 4095 4455 5005 5265 6237 6435 7371 9009 10395 11583 12285 15015 19305 27027 31185 36855 45045 57915 81081 135135 405405 35300581 105901743 176502905 247104067 317705229 388306391 458907553 529508715 741312201 953115687 1164919173 1235520335 1376722659 1588526145 1941531955 2223936603 2294537765 2718144737 2859347061 3212352871 3494757519 3706561005 4130167977 4765578435 5047983083 5824595865 6671809809 6883613295 8154434211 9637058613 10484272557 11119683015 12390503931 13590723685 14296735305 15143949249 16061764355 17473787595 20015429427 20650839885 24463302633 25239915415 28911175839 31452817671 33359049045 35335881581 37171511793 40772171055 45431847747 48185293065 52421362785 61952519655 73389907899 75719746245 86733527517 100077147135 106007644743 122316513165 136295543241 144555879195 157264088355 176679407905 185857558965 220169723697 227159238735 260200582551 318022934229 366949539495 408886629723 433667637585 530038223715 681477716205 954068802687 1100848618485 1301002912755 1590114671145 2044433148615 2862206408061 4770344013435 14311032040305