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42201114411555 = 3351143837962527
BaseRepresentation
bin10011001100001101101100…
…11011110000001000100011
312112102101110020000112001000
421212012312123300020203
521012410340242132210
6225430531353043043
711613633645614061
oct1146066633601043
9175371406015030
1042201114411555
11124a04349a4a40
124896a379b6483
131a71717ca6508
14a5c78b05b031
154d2b33deeac0
hex2661b66f0223

42201114411555 has 128 divisors (see below), whose sum is σ = 84756970045440. Its totient is φ = 19744516471680.

The previous prime is 42201114411551. The next prime is 42201114411581. The reversal of 42201114411555 is 55511441110224.

42201114411555 is a `hidden beast` number, since 4 + 2 + 201 + 1 + 1 + 441 + 1 + 5 + 5 + 5 = 666.

It is not a de Polignac number, because 42201114411555 - 22 = 42201114411551 is a prime.

It is a super-2 number, since 2×422011144115552 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42201114411551) 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, 1318702 + ... + 9281228.

It is an arithmetic number, because the mean of its divisors is an integer number (662163828480).

Almost surely, 242201114411555 is an apocalyptic number.

42201114411555 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42201114411555 is an abundant number, since it is smaller than the sum of its proper divisors (42555855633885).

42201114411555 is a wasteful number, since it uses less digits than its factorization.

42201114411555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7962678 (or 7962672 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

Adding to 42201114411555 its reverse (55511441110224), we get a palindrome (97712555521779).

The spelling of 42201114411555 in words is "forty-two trillion, two hundred one billion, one hundred fourteen million, four hundred eleven thousand, five hundred fifty-five".

Divisors: 1 3 5 9 11 15 27 33 43 45 55 83 99 129 135 165 215 249 297 387 415 473 495 645 747 913 1161 1245 1419 1485 1935 2241 2365 2739 3569 3735 4257 4565 5805 7095 8217 10707 11205 12771 13695 17845 21285 24651 32121 39259 41085 53535 63855 96363 117777 123255 160605 196295 353331 481815 588885 1059993 1766655 5299965 7962527 23887581 39812635 71662743 87587797 119437905 214988229 262763391 342388661 358313715 437938985 660889741 788290173 1027165983 1074941145 1313816955 1711943305 1982669223 2364870519 3081497949 3304448705 3766275271 3941450865 5135829915 5948007669 7269787151 9244493847 9913346115 11298825813 11824352595 15407489745 17844023007 18831376355 21809361453 28418258863 29740038345 33896477439 36348935755 46222469235 56494129065 65428084359 85254776589 89220115035 101689432317 109046807265 142091294315 169482387195 196284253077 255764329767 312600847493 327140421795 426273882945 508447161585 767292989301 937802542479 981421265385 1278821648835 1563004237465 2813407627437 3836464946505 4689012712395 8440222882311 14067038137185 42201114411555