Search a number
-
+
204334342300512 = 253219269138817109
BaseRepresentation
bin101110011101011101001011…
…111000110110001101100000
3222210111011122122100102002200
4232131131023320312031200
5203240303213112104022
62002325522335213200
761016445326064354
oct5635351370661540
9883434578312080
10204334342300512
115a11a787274956
121ab01445977200
138a02851a8b498
143865b990c9464
15189531266ebac
hexb9d74be36360

204334342300512 has 144 divisors (see below), whose sum is σ = 613932550686000. Its totient is φ = 64286757983232.

The previous prime is 204334342300511. The next prime is 204334342300577. The reversal of 204334342300512 is 215003243433402.

204334342300512 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 3 + 4 + 342 + 300 + 5 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204334342300511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67936587 + ... + 70880522.

It is an arithmetic number, because the mean of its divisors is an integer number (4263420490875).

Almost surely, 2204334342300512 is an apocalyptic number.

It is an amenable number.

204334342300512 is an abundant number, since it is smaller than the sum of its proper divisors (409598208385488).

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

204334342300512 is a wasteful number, since it uses less digits than its factorization.

204334342300512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138817413 (or 138817402 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 204334342300512 its reverse (215003243433402), we get a palindrome (419337585733914).

The spelling of 204334342300512 in words is "two hundred four trillion, three hundred thirty-four billion, three hundred forty-two million, three hundred thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 269 288 304 342 456 538 608 684 807 912 1076 1368 1614 1824 2152 2421 2736 3228 4304 4842 5111 5472 6456 8608 9684 10222 12912 15333 19368 20444 25824 30666 38736 40888 45999 61332 77472 81776 91998 122664 163552 183996 245328 367992 490656 735984 1471968 138817109 277634218 416451327 555268436 832902654 1110536872 1249353981 1665805308 2221073744 2498707962 2637525071 3331610616 4442147488 4997415924 5275050142 6663221232 7912575213 9994831848 10550100284 13326442464 15825150426 19989663696 21100200568 23737725639 31650300852 37341802321 39979327392 42200401136 47475451278 63300601704 74683604642 84400802272 94950902556 112025406963 126601203408 149367209284 189901805112 224050813926 253202406816 298734418568 336076220889 379803610224 448101627852 597468837136 672152441778 709494244099 759607220448 896203255704 1194937674272 1344304883556 1418988488198 1792406511408 2128482732297 2688609767112 2837976976396 3584813022816 4256965464594 5377219534224 5675953952792 6385448196891 8513930929188 10754439068448 11351907905584 12770896393782 17027861858376 22703815811168 25541792787564 34055723716752 51083585575128 68111447433504 102167171150256 204334342300512