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14454104234544 = 2433133317775639
BaseRepresentation
bin1101001001010101101110…
…1111111001101000110000
31220011210120101011012202000
43102111123233321220300
53343304001141001134
650424042424454000
73021163114560522
oct322253357715060
956153511135660
1014454104234544
114672a51028207
12175537631a300
1380b02971a750
1437d822089a12
151a0eb7650e99
hexd255bbf9a30

14454104234544 has 160 divisors (see below), whose sum is σ = 44815056652800. Its totient is φ = 4433979813120.

The previous prime is 14454104234473. The next prime is 14454104234747. The reversal of 14454104234544 is 44543240145441.

14454104234544 is a `hidden beast` number, since 1 + 4 + 4 + 54 + 10 + 42 + 3 + 4 + 544 = 666.

It is a super-3 number, since 3×144541042345443 (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 14454104234544.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2028924 + ... + 5746715.

It is an arithmetic number, because the mean of its divisors is an integer number (280094104080).

Almost surely, 214454104234544 is an apocalyptic number.

It is an amenable number.

14454104234544 is an abundant number, since it is smaller than the sum of its proper divisors (30360952418256).

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

14454104234544 is a wasteful number, since it uses less digits than its factorization.

14454104234544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7776000 (or 7775988 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 45.

Adding to 14454104234544 its reverse (44543240145441), we get a palindrome (58997344379985).

The spelling of 14454104234544 in words is "fourteen trillion, four hundred fifty-four billion, one hundred four million, two hundred thirty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 331 351 432 468 624 662 702 936 993 1324 1404 1872 1986 2648 2808 2979 3972 4303 5296 5616 5958 7944 8606 8937 11916 12909 15888 17212 17874 23832 25818 34424 35748 38727 47664 51636 68848 71496 77454 103272 116181 142992 154908 206544 232362 309816 464724 619632 929448 1858896 7775639 15551278 23326917 31102556 46653834 62205112 69980751 93307668 101083307 124410224 139961502 186615336 202166614 209942253 279923004 303249921 373230672 404333228 419884506 559846008 606499842 808666456 839769012 909749763 1119692016 1212999684 1617332912 1679538024 1819499526 2425999368 2573736509 2729249289 3359076048 3638999052 4851998736 5147473018 5458498578 7277998104 7721209527 10294946036 10916997156 14555996208 15442419054 20589892072 21833994312 23163628581 30884838108 33458574617 41179784144 43667988624 46327257162 61769676216 66917149234 69490885743 92654514324 100375723851 123539352432 133834298468 138981771486 185309028648 200751447702 267668596936 277963542972 301127171553 370618057296 401502895404 535337193872 555927085944 602254343106 803005790808 903381514659 1111854171888 1204508686212 1606011581616 1806763029318 2409017372424 3613526058636 4818034744848 7227052117272 14454104234544