Search a number
-
+
204014232021411 = 327241671031635031
BaseRepresentation
bin101110011000110011000011…
…110101000010100110100011
3222202100120101121101100121200
4232120303003311002212203
5203220032121344141121
62001522502213052243
760654353566441500
oct5630630365024643
9882316347340550
10204014232021411
115a006a4a377289
121aa6b3a9627083
1389ab5c8782856
1438544ad1964a7
15188bd2970ea26
hexb98cc3d429a3

204014232021411 has 144 divisors (see below), whose sum is σ = 359862014873088. Its totient is φ = 110950781356800.

The previous prime is 204014232021349. The next prime is 204014232021419. The reversal of 204014232021411 is 114120232410402.

204014232021411 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 1 + 42 + 3 + 202 + 1 + 411 = 666.

It is not a de Polignac number, because 204014232021411 - 27 = 204014232021283 is a prime.

It is a super-2 number, since 2×2040142320214112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204014232021419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 123959466 + ... + 125594496.

It is an arithmetic number, because the mean of its divisors is an integer number (2499041769952).

Almost surely, 2204014232021411 is an apocalyptic number.

204014232021411 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

204014232021411 is a deficient number, since it is larger than the sum of its proper divisors (155847782851677).

204014232021411 is a wasteful number, since it uses less digits than its factorization.

204014232021411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635262 (or 1635252 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 204014232021411 its reverse (114120232410402), we get a palindrome (318134464431813).

The spelling of 204014232021411 in words is "two hundred four trillion, fourteen billion, two hundred thirty-two million, twenty-one thousand, four hundred eleven".

Divisors: 1 3 7 9 21 41 49 63 67 103 123 147 201 287 309 369 441 469 603 721 861 927 1407 2009 2163 2583 2747 3283 4221 4223 5047 6027 6489 6901 8241 9849 12669 15141 18081 19229 20703 24723 29547 29561 38007 45423 48307 57687 62109 88683 134603 144921 173061 206927 266049 282941 338149 403809 434763 620781 848823 1014447 1211427 1635031 1862343 1980587 2546469 3043341 4905093 5941761 11445217 13864109 14715279 17825283 34335651 41592327 67036271 80116519 103006953 109547077 124776981 168408193 201108813 240349557 328641231 469253897 505224579 603326439 721048671 766829539 985923693 1178857351 1407761691 1515673737 2300488617 3284777279 3536572053 4223285073 4491430157 5367806773 6901465851 6904735913 8252001457 9854331837 10609716159 11283348931 13474290471 16103420319 20714207739 24756004371 29562995511 31440011099 33850046793 40422871413 48310260957 48333151391 62142623217 74268013113 78983442517 94320033297 101550140379 144999454173 220080077693 236950327551 282960099891 338332059737 434998362519 462617306171 552884097619 660240233079 710850982653 1014996179211 1387851918513 1658652292857 1980720699237 3044988537633 3238321143197 4163555755539 4975956878571 9714963429591 22668248002379 29144890288773 68004744007137 204014232021411