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14202412413030 = 23252910750855489
BaseRepresentation
bin1100111010101100000110…
…1111110011000001100110
31212021201220112120220210200
43032223001233303001212
53330143020034204110
650112255335331330
72664043006440522
oct316530157630146
955251815526720
1014202412413030
114586233607466
121714633220b46
137c0387cb6a4a
14371586ac0d82
1519968604b6c0
hexceac1bf3066

14202412413030 has 96 divisors (see below), whose sum is σ = 38556598298400. Its totient is φ = 3622538121216.

The previous prime is 14202412413029. The next prime is 14202412413041. The reversal of 14202412413030 is 3031421420241.

14202412413030 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 241 + 2 + 413 + 0 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14202412412985 and 14202412413003.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 25148475 + ... + 25707014.

It is an arithmetic number, because the mean of its divisors is an integer number (401631232275).

Almost surely, 214202412413030 is an apocalyptic number.

14202412413030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14202412413030 is an abundant number, since it is smaller than the sum of its proper divisors (24354185885370).

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

14202412413030 is a wasteful number, since it uses less digits than its factorization.

14202412413030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50855638 (or 50855635 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14202412413030 its reverse (3031421420241), we get a palindrome (17233833833271).

The spelling of 14202412413030 in words is "fourteen trillion, two hundred two billion, four hundred twelve million, four hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 107 145 174 214 261 290 321 435 522 535 642 870 963 1070 1305 1605 1926 2610 3103 3210 4815 6206 9309 9630 15515 18618 27927 31030 46545 55854 93090 139635 279270 50855489 101710978 152566467 254277445 305132934 457699401 508554890 762832335 915398802 1474809181 1525664670 2288497005 2949618362 4424427543 4576994010 5441537323 7374045905 8848855086 10883074646 13273282629 14748091810 16324611969 22122137715 26546565258 27207686615 32649223938 44244275430 48973835907 54415373230 66366413145 81623059845 97947671814 132732826290 157804582367 163246119690 244869179535 315609164734 473413747101 489738359070 789022911835 946827494202 1420241241303 1578045823670 2367068735505 2840482482606 4734137471010 7101206206515 14202412413030