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204435113333140 = 22529388190820493
BaseRepresentation
bin101110011110111011000010…
…010011110101000110010100
3222210211210202112211021021101
4232132323002103311012110
5203243431103003130030
62002444110004155444
761026643454531404
oct5636730223650624
9883753675737241
10204435113333140
115a1594989561a8
121ab18a89998b84
138a0c1c124ab41
14386a9d86d4804
151897c5e40d7ca
hexb9eec24f5194

204435113333140 has 48 divisors (see below), whose sum is σ = 444232098712080. Its totient is φ = 78933906007040.

The previous prime is 204435113333137. The next prime is 204435113333161. The reversal of 204435113333140 is 41333311534402.

It can be written as a sum of positive squares in 8 ways, for example, as 2416818470544 + 202018294862596 = 1554612^2 + 14213314^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 204435113333140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43159267 + ... + 47661226.

It is an arithmetic number, because the mean of its divisors is an integer number (9254835389835).

Almost surely, 2204435113333140 is an apocalyptic number.

204435113333140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204435113333140 is an abundant number, since it is smaller than the sum of its proper divisors (239796985378940).

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

204435113333140 is a wasteful number, since it uses less digits than its factorization.

204435113333140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90824412 (or 90824410 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 37.

Adding to 204435113333140 its reverse (41333311534402), we get a palindrome (245768424867542).

The spelling of 204435113333140 in words is "two hundred four trillion, four hundred thirty-five billion, one hundred thirteen million, three hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 3881 7762 15524 19405 38810 77620 112549 225098 450196 562745 1125490 2250980 90820493 181640986 363281972 454102465 908204930 1816409860 2633794297 5267588594 10535177188 13168971485 26337942970 52675885940 352474333333 704948666666 1409897333332 1762371666665 3524743333330 7049486666660 10221755666657 20443511333314 40887022666628 51108778333285 102217556666570 204435113333140