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141431727255 = 357133717316187
BaseRepresentation
bin1000001110110111111…
…1001110010010010111
3111112001121202011022120
42003231333032102113
54304123010233010
6144550044431023
713134544563150
oct2035577162227
9445047664276
10141431727255
1154a87583005
12234b1248473
131044c39b9a0
146bb983c927
153a2b781e70
hex20edfce497

141431727255 has 128 divisors (see below), whose sum is σ = 287710230528. Its totient is φ = 57728858112.

The previous prime is 141431727253. The next prime is 141431727271. The reversal of 141431727255 is 552727134141.

It is not a de Polignac number, because 141431727255 - 21 = 141431727253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141431727251) 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, 8729272 + ... + 8745458.

It is an arithmetic number, because the mean of its divisors is an integer number (2247736176).

Almost surely, 2141431727255 is an apocalyptic number.

141431727255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

141431727255 is an abundant number, since it is smaller than the sum of its proper divisors (146278503273).

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

141431727255 is a wasteful number, since it uses less digits than its factorization.

141431727255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16425.

The product of its digits is 235200, while the sum is 42.

The spelling of 141431727255 in words is "one hundred forty-one billion, four hundred thirty-one million, seven hundred twenty-seven thousand, two hundred fifty-five".

Divisors: 1 3 5 7 13 15 21 35 37 39 65 91 105 111 173 185 195 259 273 455 481 519 555 777 865 1211 1295 1365 1443 2249 2405 2595 3367 3633 3885 6055 6401 6747 7215 10101 11245 15743 16187 16835 18165 19203 32005 33735 44807 47229 48561 50505 78715 80935 83213 96015 113309 134421 210431 224035 236145 242805 249639 339927 416065 566545 582491 598919 631293 672105 1052155 1248195 1473017 1699635 1747473 1796757 2800351 2912455 2994595 3156465 4192433 4419051 7365085 7785947 8401053 8737365 8983785 12577299 14001755 19602457 20962165 22095255 23357841 36404563 38929735 42005265 54501629 58807371 62886495 98012285 103612987 109213689 116789205 163504887 182022815 254831941 272508145 294036855 310838961 518064935 546068445 725290909 764495823 817524435 1274159705 1346968831 1554194805 2175872727 3626454545 3822479115 4040906493 6734844155 9428781817 10879363635 20204532465 28286345451 47143909085 141431727255