Search a number
-
+
241542500140305 = 33571373269336701
BaseRepresentation
bin110110111010111001111110…
…111010110100010100010001
31011200020020102010201000212000
4312322321332322310110101
5223124413020013442210
62213415032005024213
7101606604216262440
oct6672717672642421
91150206363630760
10241542500140305
116aa65665369201
122311067a6b5069
13a4a148aca0750
144390a0ddc2d57
151cdd11c394ac0
hexdbae7eeb4511

241542500140305 has 128 divisors (see below), whose sum is σ = 535743020682240. Its totient is φ = 100529384601600.

The previous prime is 241542500140181. The next prime is 241542500140343. The reversal of 241542500140305 is 503041005245142.

241542500140305 is a `hidden beast` number, since 2 + 4 + 1 + 5 + 4 + 2 + 500 + 140 + 3 + 0 + 5 = 666.

It is not a de Polignac number, because 241542500140305 - 27 = 241542500140177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 241542500140305.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 133771546 + ... + 135565155.

It is an arithmetic number, because the mean of its divisors is an integer number (4185492349080).

Almost surely, 2241542500140305 is an apocalyptic number.

It is an amenable number.

241542500140305 is an abundant number, since it is smaller than the sum of its proper divisors (294200520541935).

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

241542500140305 is a wasteful number, since it uses less digits than its factorization.

241542500140305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269336808 (or 269336802 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 241542500140305 its reverse (503041005245142), we get a palindrome (744583505385447).

The spelling of 241542500140305 in words is "two hundred forty-one trillion, five hundred forty-two billion, five hundred million, one hundred forty thousand, three hundred five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 73 91 105 117 135 189 195 219 273 315 351 365 455 511 585 657 819 945 949 1095 1365 1533 1755 1971 2457 2555 2847 3285 4095 4599 4745 6643 7665 8541 9855 12285 13797 14235 19929 22995 25623 33215 42705 59787 68985 99645 128115 179361 298935 896805 269336701 808010103 1346683505 1885356907 2424030309 3501377113 4040050515 5656070721 7272090927 9426784535 10504131339 12120151545 16968212163 17506885565 19661579173 24509639791 28280353605 31512394017 36360454635 50904636489 52520656695 58984737519 73528919373 84841060815 94537182051 98307895865 122548198955 137631054211 157561970085 176954212557 220586758119 254523182445 255600529249 294923687595 367644596865 412893162633 472685910255 530862637671 661760274357 688155271055 766801587747 884771062785 1102933790595 1238679487899 1278002646245 1789203704743 2064465813165 2300404763241 2654313188355 3308801371785 3716038463697 3834007938735 5367611114229 6193397439495 6901214289723 8946018523715 11502023816205 16102833342687 18580192318485 26838055571145 34506071448615 48308500028061 80514166713435 241542500140305