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14431034440134 = 23413291271860533
BaseRepresentation
bin1101000111111111110010…
…1011100111100111000110
31220002121000121021020020000
43101333330223213213012
53342414224304041014
650405305315022130
73016415325551634
oct321777453474706
956077017236200
1014431034440134
1146641927a8214
1217509b829a946
13808ac1062520
1437c6741d0354
151a05b7156509
hexd1ffcae79c6

14431034440134 has 160 divisors (see below), whose sum is σ = 36308097745920. Its totient is φ = 4253444068608.

The previous prime is 14431034440099. The next prime is 14431034440153. The reversal of 14431034440134 is 43104443013441.

14431034440134 is a `hidden beast` number, since 1 + 4 + 43 + 10 + 34 + 440 + 134 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6826132 + ... + 8686664.

It is an arithmetic number, because the mean of its divisors is an integer number (226925610912).

Almost surely, 214431034440134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14431034440134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18154048872960).

14431034440134 is an abundant number, since it is smaller than the sum of its proper divisors (21877063305786).

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

14431034440134 is a wasteful number, since it uses less digits than its factorization.

14431034440134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860716 (or 1860707 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 14431034440134 its reverse (43104443013441), we get a palindrome (57535477453575).

The spelling of 14431034440134 in words is "fourteen trillion, four hundred thirty-one billion, thirty-four million, four hundred forty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 81 87 117 127 162 174 234 254 261 351 377 381 522 702 754 762 783 1053 1131 1143 1566 1651 2106 2262 2286 2349 3302 3393 3429 3683 4698 4953 6786 6858 7366 9906 10179 10287 11049 14859 20358 20574 22098 29718 30537 33147 44577 47879 61074 66294 89154 95758 99441 133731 143637 198882 267462 287274 298323 430911 596646 861822 1292733 1860533 2585466 3721066 3878199 5581599 7756398 11163198 16744797 24186929 33489594 48373858 50234391 53955457 72560787 100468782 107910914 145121574 150703173 161866371 217682361 236287691 301406346 323732742 435364722 472575382 485599113 653047083 701420941 708863073 971198226 1306094166 1402841882 1417726146 1456797339 1959141249 2104262823 2126589219 2913594678 3071739983 3918282498 4208525646 4253178438 4370392017 6143479966 6312788469 6379767657 6852343039 8740784034 9215219949 12625576938 12759535314 13704686078 18430439898 18938365407 19139302971 20557029117 27645659847 37876730814 38278605942 41114058234 55291319694 56815096221 61671087351 82936979541 89080459507 113630192442 123342174702 165873959082 178160919014 185013262053 248810938623 267241378521 370026524106 497621877246 534482757042 555039786159 801724135563 1110079572318 1603448271126 2405172406689 4810344813378 7215517220067 14431034440134