Search a number
-
+
31420635043005 = 3451331499385793
BaseRepresentation
bin1110010010011101011111…
…10010100101010010111101
311010020210011002011100110000
413021032233302211102331
513104243430032334010
6150454235050304513
76422031425123415
oct711165762452275
9133223132140400
1031420635043005
11a01446439059a
123635643128139
13146bc51168b30
147a8aa4347645
153974c97e57c0
hex1c93afca54bd

31420635043005 has 160 divisors (see below), whose sum is σ = 62739363456000. Its totient is φ = 14939594588160.

The previous prime is 31420635043003. The next prime is 31420635043151. The reversal of 31420635043005 is 50034053602413.

31420635043005 is a `hidden beast` number, since 3 + 14 + 2 + 0 + 635 + 0 + 4 + 3 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 31420635043005 - 21 = 31420635043003 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31420635043003) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 81251389 + ... + 81637181.

It is an arithmetic number, because the mean of its divisors is an integer number (392121021600).

Almost surely, 231420635043005 is an apocalyptic number.

It is an amenable number.

31420635043005 is a deficient number, since it is larger than the sum of its proper divisors (31318728412995).

31420635043005 is a wasteful number, since it uses less digits than its factorization.

31420635043005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386353 (or 386344 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 31420635043005 its reverse (50034053602413), we get a palindrome (81454688645418).

The spelling of 31420635043005 in words is "thirty-one trillion, four hundred twenty billion, six hundred thirty-five million, forty-three thousand, five".

Divisors: 1 3 5 9 13 15 27 31 39 45 65 81 93 117 135 155 195 279 351 403 405 465 499 585 837 1053 1209 1395 1497 1755 2015 2495 2511 3627 4185 4491 5265 6045 6487 7485 10881 12555 13473 15469 18135 19461 22455 32435 32643 40419 46407 54405 58383 67365 77345 97305 139221 163215 175149 201097 202095 232035 291915 385793 417663 525447 603291 696105 875745 1005485 1157379 1252989 1809873 1928965 2088315 2627235 3016455 3472137 5015309 5429619 5786895 6264945 9049365 10416411 11959583 15045927 16288857 17360685 25076545 27148095 31249233 35878749 45137781 52082055 59797915 75229635 81444285 107636247 135413343 155474579 156246165 179393745 192510707 225688905 322908741 406240029 466423737 538181235 577532121 677066715 777372895 962553535 968726223 1399271211 1614543705 1732596363 2031200145 2332118685 2502639191 2887660605 4197813633 4843631115 5197789089 5967831917 6996356055 7507917573 8662981815 12513195955 12593440899 15593367267 17903495751 20989068165 22523752719 25988945445 29839159585 37539587865 53710487253 62967204495 67571258157 77581814921 77966836335 89517478755 112618763595 161131461759 202713774471 232745444763 268552436265 337856290785 387909074605 483394385277 698236334289 805657308795 1013568872355 1163727223815 2094709002867 2416971926385 3491181671445 6284127008601 10473545014335 31420635043005