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34554443141043 = 3374167131950459
BaseRepresentation
bin1111101101101010101010…
…10011110000111110110011
311112100101001112222021222000
413312311111103300332303
514012114444421003133
6201254031513545043
710164322212342510
oct766652523607663
9145311045867860
1034554443141043
1110012503358861
123a60a71115183
1316386157b18b7
14876630388307
153edc91368413
hex1f6d554f0fb3

34554443141043 has 128 divisors (see below), whose sum is σ = 60873652224000. Its totient is φ = 18961518977280.

The previous prime is 34554443140999. The next prime is 34554443141083. The reversal of 34554443141043 is 34014134445543.

34554443141043 is a `hidden beast` number, since 3 + 4 + 5 + 544 + 43 + 14 + 10 + 43 = 666.

It is not a de Polignac number, because 34554443141043 - 28 = 34554443140787 is a prime.

It is a super-2 number, since 2×345544431410432 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34554443141043.

It is not an unprimeable number, because it can be changed into a prime (34554443141083) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 684777148 + ... + 684827606.

It is an arithmetic number, because the mean of its divisors is an integer number (475575408000).

Almost surely, 234554443141043 is an apocalyptic number.

34554443141043 is a deficient number, since it is larger than the sum of its proper divisors (26319209082957).

34554443141043 is a wasteful number, since it uses less digits than its factorization.

34554443141043 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51902 (or 51896 counting only the distinct ones).

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

Adding to 34554443141043 its reverse (34014134445543), we get a palindrome (68568577586586).

The spelling of 34554443141043 in words is "thirty-four trillion, five hundred fifty-four billion, four hundred forty-three million, one hundred forty-one thousand, forty-three".

Divisors: 1 3 7 9 21 27 41 63 67 123 189 201 287 369 469 603 861 1107 1319 1407 1809 2583 2747 3957 4221 7749 8241 9233 11871 12663 19229 24723 27699 35613 50459 54079 57687 74169 83097 88373 151377 162237 173061 249291 265119 353213 378553 454131 486711 519183 618611 795357 1059639 1135659 1362393 1460133 1855833 2068819 2386071 3178917 3380753 3406977 3623293 5567499 6206457 9536751 10142259 10220931 10869879 14481733 16702497 18619371 23665271 25363051 30426777 32609637 43445199 55858113 66555421 70995813 76089153 91280331 97828911 130335597 138610873 199666263 212987439 228267459 391006791 415832619 465887947 598998789 638962317 684802377 970276111 1247497857 1397663841 1796996367 2728772261 2910828333 3742493571 4192991523 4459213207 8186316783 8732484999 12578974569 13377639621 19101405827 24558950349 26197454997 31214492449 40132918863 57304217481 73676851047 93643477347 120398756589 171912652443 182827741487 280930432041 515737957329 548483224461 842791296123 1279794190409 1645449673383 3839382571227 4936349020149 11518147713681 34554443141043