Search a number
-
+
31414023053505 = 36519962347137
BaseRepresentation
bin1110010010010001001011…
…01011110110000011000001
311010020011002021112111000000
413021020211223312003001
513104141404400203010
6150451223012350213
76421405530132201
oct711104553660301
9133204067474000
1031414023053505
11a011681062a64
1236342b8915369
13146b439367201
147a8638150401
1539723e0c27c0
hex1c9225af60c1

31414023053505 has 112 divisors (see below), whose sum is σ = 59501535649920. Its totient is φ = 15870362379264.

The previous prime is 31414023053443. The next prime is 31414023053513. The reversal of 31414023053505 is 50535032041413.

31414023053505 is a `hidden beast` number, since 3 + 1 + 4 + 140 + 2 + 3 + 0 + 5 + 3 + 505 = 666.

It is not a de Polignac number, because 31414023053505 - 226 = 31413955944641 is a prime.

It is a super-2 number, since 2×314140230535052 (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 31414023053505.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 666417297 + ... + 666464433.

It is an arithmetic number, because the mean of its divisors is an integer number (531263711160).

Almost surely, 231414023053505 is an apocalyptic number.

It is an amenable number.

31414023053505 is a deficient number, since it is larger than the sum of its proper divisors (28087512596415).

31414023053505 is an equidigital number, since it uses as much as digits as its factorization.

31414023053505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56802 (or 56787 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 31414023053505 its reverse (50535032041413), we get a palindrome (81949055094918).

The spelling of 31414023053505 in words is "thirty-one trillion, four hundred fourteen billion, twenty-three million, fifty-three thousand, five hundred five".

Divisors: 1 3 5 9 15 19 27 45 57 81 95 135 171 243 285 405 513 729 855 1215 1539 2565 3645 4617 7695 9623 13851 23085 28869 47137 48115 69255 86607 141411 144345 182837 235685 259821 424233 433035 548511 707055 779463 895603 914185 1272699 1299105 1645533 2121165 2338389 2686809 2742555 3818097 3897315 4478015 4936599 6363495 7015167 8060427 8227665 11454291 11691945 13434045 14809797 19090485 24181281 24682995 34362873 35075835 40302135 44429391 57271455 72543843 74048985 120906405 133288173 171814365 217631529 222146955 362719215 453599351 652894587 666440865 1088157645 1360798053 2267996755 3264472935 4082394159 6803990265 8618387669 12247182477 20411970795 25855163007 36741547431 43091938345 61235912385 77565489021 110224642293 129275815035 183707737155 232696467063 330673926879 387827445105 551123211465 698089401189 1163482335315 1653369634395 2094268203567 3490447005945 6282804610701 10471341017835 31414023053505