Search a number
-
+
204414411403341 = 321741793011136993
BaseRepresentation
bin101110011110100111110000…
…011000001111000001001101
3222210202211022210111021100200
4232132213300120033001031
5203243111203304401331
62002430403442044113
761025311450165056
oct5636476030170115
9883684283437320
10204414411403341
115a150735189a07
121ab14a70949639
138a0a272309639
1438699d30d172d
15189744bc3d5e6
hexb9e9f060f04d

204414411403341 has 96 divisors (see below), whose sum is σ = 324423009630720. Its totient is φ = 123505849958400.

The previous prime is 204414411403289. The next prime is 204414411403357. The reversal of 204414411403341 is 143304114414402.

204414411403341 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 1 + 441 + 140 + 33 + 41 = 666.

204414411403341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 204414411403341 - 26 = 204414411403277 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 204414411403296 and 204414411403305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204414411403441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1492083741 + ... + 1492220733.

It is an arithmetic number, because the mean of its divisors is an integer number (3379406350320).

Almost surely, 2204414411403341 is an apocalyptic number.

It is an amenable number.

204414411403341 is a deficient number, since it is larger than the sum of its proper divisors (120008598227379).

204414411403341 is a wasteful number, since it uses less digits than its factorization.

204414411403341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140147 (or 140144 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 204414411403341 its reverse (143304114414402), we get a palindrome (347718525817743).

The spelling of 204414411403341 in words is "two hundred four trillion, four hundred fourteen billion, four hundred eleven million, four hundred three thousand, three hundred forty-one".

Divisors: 1 3 9 17 41 51 79 123 153 237 369 697 711 1343 2091 3011 3239 4029 6273 9033 9717 12087 27099 29151 51187 55063 123451 136993 153561 165189 237869 370353 410979 460683 495567 713607 1111059 1232937 2098667 2140821 2328881 4043773 5616713 6296001 6986643 9752629 10822447 12131319 16850139 18888003 20959929 29257887 32467341 36393957 50550417 87773661 95484121 97402023 165794693 183981599 286452363 412485923 443720327 497384079 551944797 859357089 1237457769 1331160981 1492152237 1655834391 3712373307 3993482943 7012260691 7543245559 16911922843 21036782073 22629736677 32586387917 50735768529 63110346219 67889210031 97759163751 152207305587 287502688331 293277491253 553968594589 862508064993 1336041904597 1661905783767 2587524194979 4008125713791 4985717351301 12024377141373 22712712378149 68138137134447 204414411403341