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203240041410 = 23572947217069
BaseRepresentation
bin1011110101001000001…
…1001110101111000010
3201102121010222211202010
42331102003032233002
511312213422311120
6233211151233350
720453322563610
oct2752203165702
9642533884663
10203240041410
117921478327a
1233480818856
131621c66a343
149ba05306b0
155447b317e0
hex2f520cebc2

203240041410 has 128 divisors (see below), whose sum is σ = 576884851200. Its totient is φ = 44837130240.

The previous prime is 203240041409. The next prime is 203240041463. The reversal of 203240041410 is 14140042302.

203240041410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28747356 + ... + 28754424.

It is an arithmetic number, because the mean of its divisors is an integer number (4506912900).

Almost surely, 2203240041410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203240041410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288442425600).

203240041410 is an abundant number, since it is smaller than the sum of its proper divisors (373644809790).

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

203240041410 is a wasteful number, since it uses less digits than its factorization.

203240041410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11836.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 203240041410 its reverse (14140042302), we get a palindrome (217380083712).

The spelling of 203240041410 in words is "two hundred three billion, two hundred forty million, forty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 406 435 609 870 1015 1218 2030 3045 4721 6090 7069 9442 14138 14163 21207 23605 28326 33047 35345 42414 47210 49483 66094 70690 70815 98966 99141 106035 136909 141630 148449 165235 198282 205001 212070 247415 273818 296898 330470 410002 410727 494830 495705 615003 684545 742245 821454 958363 991410 1025005 1230006 1369090 1435007 1484490 1916726 2050010 2053635 2870014 2875089 3075015 4107270 4305021 4791815 5750178 6150030 7175035 8610042 9583630 14350070 14375445 21525105 28750890 33372749 43050210 66745498 100118247 166863745 200236494 233609243 333727490 467218486 500591235 700827729 967809721 1001182470 1168046215 1401655458 1935619442 2336092430 2903429163 3504138645 4839048605 5806858326 6774668047 7008277290 9678097210 13549336094 14517145815 20324004141 29034291630 33873340235 40648008282 67746680470 101620020705 203240041410