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2041332031024 = 2411133163282071
BaseRepresentation
bin11101101101001000110…
…111101101111000110000
321020011000221100120111221
4131231020313231320300
5231421121444443044
64201435221514424
7300324052654156
oct35551067557060
97204027316457
102041332031024
117177a6794510
1228b759b72a14
1311a65c588170
1470b2dd193d6
15381768d0484
hex1db48dede30

2041332031024 has 80 divisors (see below), whose sum is σ = 4648014008064. Its totient is φ = 856229126400.

The previous prime is 2041332030973. The next prime is 2041332031051. The reversal of 2041332031024 is 4201302331402.

It is a self number, because there is not a number n which added to its sum of digits gives 2041332031024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7095909 + ... + 7377979.

Almost surely, 22041332031024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041332031024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324007004032).

2041332031024 is an abundant number, since it is smaller than the sum of its proper divisors (2606681977040).

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

2041332031024 is a wasteful number, since it uses less digits than its factorization.

2041332031024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285266 (or 285260 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 2041332031024 its reverse (4201302331402), we get a palindrome (6242634362426).

The spelling of 2041332031024 in words is "two trillion, forty-one billion, three hundred thirty-two million, thirty-one thousand, twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 2288 3163 6326 12652 25304 34793 41119 50608 69586 82238 139172 164476 278344 282071 328952 452309 556688 564142 657904 904618 1128284 1809236 2256568 3102781 3618472 3666923 4513136 6205562 7236944 7333846 12411124 14667692 24822248 29335384 40336153 49644496 58670768 80672306 161344612 322689224 645378448 892190573 1784381146 3568762292 7137524584 9814096303 11598477449 14275049168 19628192606 23196954898 39256385212 46393909796 78512770424 92787819592 127583251939 157025540848 185575639184 255166503878 510333007756 1020666015512 2041332031024