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14345145430434 = 23271347186334469
BaseRepresentation
bin1101000010111111110101…
…0011000011000110100010
31212210101022211221110121200
43100233331103003012202
53340012324212233214
650302022511302030
73010255035166560
oct320577523030642
955711284843550
1014345145430434
114630818688a75
12173822821a916
13800983b529b0
14378447298a30
1519d23bb75d09
hexd0bfd4c31a2

14345145430434 has 96 divisors (see below), whose sum is σ = 39067630318080. Its totient is φ = 3702838548096.

The previous prime is 14345145430423. The next prime is 14345145430463. The reversal of 14345145430434 is 43403454154341.

14345145430434 is a `hidden beast` number, since 1 + 4 + 3 + 45 + 145 + 4 + 30 + 434 = 666.

14345145430434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×143451454304343 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 14345145430434.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93090249 + ... + 93244220.

It is an arithmetic number, because the mean of its divisors is an integer number (406954482480).

Almost surely, 214345145430434 is an apocalyptic number.

14345145430434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14345145430434 is an abundant number, since it is smaller than the sum of its proper divisors (24722484887646).

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

14345145430434 is a wasteful number, since it uses less digits than its factorization.

14345145430434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186334544 (or 186334541 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

Adding to 14345145430434 its reverse (43403454154341), we get a palindrome (57748599584775).

The spelling of 14345145430434 in words is "fourteen trillion, three hundred forty-five billion, one hundred forty-five million, four hundred thirty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 47 63 78 91 94 117 126 141 182 234 273 282 329 423 546 611 658 819 846 987 1222 1638 1833 1974 2961 3666 4277 5499 5922 8554 10998 12831 25662 38493 76986 186334469 372668938 559003407 1118006814 1304341283 1677010221 2422348097 2608682566 3354020442 3913023849 4844696194 7267044291 7826047698 8757720043 11739071547 14534088582 16956436679 17515440086 21801132873 23478143094 26273160129 33912873358 43602265746 50869310037 52546320258 61304040301 78819480387 101738620074 113850360559 122608080602 152607930111 157638960774 183912120903 227700721118 305215860222 341551081677 367824241806 551736362709 683102163354 796952523913 1024653245031 1103472725418 1593905047826 2049306490062 2390857571739 4781715143478 7172572715217 14345145430434