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204214430442420 = 223255558272041147
BaseRepresentation
bin101110011011101101100000…
…100101011010001110110100
3222210001201010210000212120100
4232123231200211122032310
5203231322123143124140
62002154451512034100
761005001650105426
oct5633554045321664
9883051123025510
10204214430442420
115a083943142092
121aaa215b692930
1389c4451c253b8
143860061768816
1518921452ca530
hexb9bb6095a3b4

204214430442420 has 72 divisors (see below), whose sum is σ = 619451856957024. Its totient is φ = 54457056796608.

The previous prime is 204214430442413. The next prime is 204214430442427. The reversal of 204214430442420 is 24244034412402.

204214430442420 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 144 + 30 + 442 + 42 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (204214430442413) and next prime (204214430442427).

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 (204214430442427) 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, 99028287 + ... + 101069433.

It is an arithmetic number, because the mean of its divisors is an integer number (8603498013292).

Almost surely, 2204214430442420 is an apocalyptic number.

204214430442420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204214430442420 is an abundant number, since it is smaller than the sum of its proper divisors (415237426514604).

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

204214430442420 is a wasteful number, since it uses less digits than its factorization.

204214430442420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596989 (or 2596984 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 204214430442420 its reverse (24244034412402), we get a palindrome (228458464854822).

The spelling of 204214430442420 in words is "two hundred four trillion, two hundred fourteen billion, four hundred thirty million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 555827 1111654 1667481 2041147 2223308 2779135 3334962 4082294 5002443 5558270 6123441 6669924 8164588 8337405 10004886 10205735 11116540 12246882 16674810 18370323 20009772 20411470 24493764 25012215 30617205 33349620 36740646 40822940 50024430 61234410 73481292 91851615 100048860 122468820 183703230 367406460 1134524613569 2269049227138 3403573840707 4538098454276 5672623067845 6807147681414 10210721522121 11345246135690 13614295362828 17017869203535 20421443044242 22690492271380 34035738407070 40842886088484 51053607610605 68071476814140 102107215221210 204214430442420