Search a number
-
+
544325340105 = 325234713781677
BaseRepresentation
bin1111110101111000101…
…00011000101111001001
31221000222222011021220200
413322330110120233021
532404234241340410
61054020513042413
754216614023221
oct7727424305711
91830888137820
10544325340105
1119a935511588
12895b1556409
133c439352781
141c4ba033081
15e25c2073c0
hex7ebc518bc9

544325340105 has 96 divisors (see below), whose sum is σ = 1012817654784. Its totient is φ = 269789549568.

The previous prime is 544325340029. The next prime is 544325340113. The reversal of 544325340105 is 501043523445.

544325340105 is a `hidden beast` number, since 544 + 3 + 2 + 5 + 3 + 4 + 0 + 105 = 666.

It is not a de Polignac number, because 544325340105 - 28 = 544325339849 is a prime.

It is a super-2 number, since 2×5443253401052 (a number of 24 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 544325340105.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6623527 + ... + 6705203.

It is an arithmetic number, because the mean of its divisors is an integer number (10550183904).

Almost surely, 2544325340105 is an apocalyptic number.

It is an amenable number.

544325340105 is a deficient number, since it is larger than the sum of its proper divisors (468492314679).

544325340105 is a wasteful number, since it uses less digits than its factorization.

544325340105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81895 (or 81892 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 544325340105 in words is "five hundred forty-four billion, three hundred twenty-five million, three hundred forty thousand, one hundred five".

Divisors: 1 3 5 9 15 23 45 47 69 115 137 141 207 235 345 411 423 685 705 1035 1081 1233 2055 2115 3151 3243 5405 6165 6439 9453 9729 15755 16215 19317 28359 32195 47265 48645 57951 81677 96585 141795 148097 245031 289755 408385 444291 735093 740485 1225155 1332873 1878571 2221455 3675465 3838819 5635713 6664365 9392855 11189749 11516457 16907139 19194095 28178565 33569247 34549371 55948745 57582285 84535695 88292837 100707741 167846235 172746855 257364227 264878511 441464185 503538705 525918203 772092681 794635533 1286821135 1324392555 1577754609 2316278043 2629591015 3860463405 3973177665 4733263827 7888773045 11581390215 12096118669 23666319135 36288356007 60480593345 108865068021 181441780035 544325340105