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204433020413240 = 235234341912333341
BaseRepresentation
bin101110011110111001000101…
…100011111110010100111000
3222210211121100200121220220112
4232132321011203332110320
5203243412311211210430
62002443122201443452
761026540552153203
oct5636710543762470
9883747320556815
10204433020413240
115a158614513533
121ab185a4aa0588
138a0bc4976b7b8
14386a87a76c93a
151897b8a7e4195
hexb9ee458fe538

204433020413240 has 128 divisors (see below), whose sum is σ = 492307545945600. Its totient is φ = 76216489198080.

The previous prime is 204433020413239. The next prime is 204433020413243. The reversal of 204433020413240 is 42314020334402.

It is a junction number, because it is equal to n+sod(n) for n = 204433020413197 and 204433020413206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204433020413243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10408970 + ... + 22742310.

It is an arithmetic number, because the mean of its divisors is an integer number (3846152702700).

Almost surely, 2204433020413240 is an apocalyptic number.

204433020413240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204433020413240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246153772972800).

204433020413240 is an abundant number, since it is smaller than the sum of its proper divisors (287874525532360).

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

204433020413240 is a wasteful number, since it uses less digits than its factorization.

204433020413240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12333837 (or 12333833 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 204433020413240 its reverse (42314020334402), we get a palindrome (246747040747642).

The spelling of 204433020413240 in words is "two hundred four trillion, four hundred thirty-three billion, twenty million, four hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 43 46 86 92 115 172 184 215 230 344 419 430 460 838 860 920 989 1676 1720 1978 2095 3352 3956 4190 4945 7912 8380 9637 9890 16760 18017 19274 19780 36034 38548 39560 48185 72068 77096 90085 96370 144136 180170 192740 360340 385480 414391 720680 828782 1657564 2071955 3315128 4143910 8287820 12333341 16575640 24666682 49333364 61666705 98666728 123333410 246666820 283666843 493333640 530333663 567333686 1060667326 1134667372 1418334215 2121334652 2269334744 2651668315 2836668430 4242669304 5167669879 5303336630 5673336860 10335339758 10606673260 11346673720 12197674249 20670679516 21213346520 24395348498 25838349395 41341359032 48790696996 51676698790 60988371245 97581393992 103353397580 118856407217 121976742490 206706795160 222209804797 237712814434 243953484980 444419609594 475425628868 487906969960 594282036085 888839219188 950851257736 1111049023985 1188564072170 1777678438376 2222098047970 2377128144340 4444196095940 4754256288680 5110825510331 8888392191880 10221651020662 20443302041324 25554127551655 40886604082648 51108255103310 102216510206620 204433020413240