Search a number
-
+
4022031442302 = 2322367317898069
BaseRepresentation
bin111010100001110011110…
…000010110000101111110
3112020111120021201221010200
4322201303300112011332
51011344110022123202
612315410140144330
7563403455115246
oct72416360260576
915214507657120
104022031442302
111310808993325
1254b5b62380a6
13232378309023
14dc94b346b26
156e950249e1c
hex3a873c1617e

4022031442302 has 96 divisors (see below), whose sum is σ = 9113019739200. Its totient is φ = 1279607003136.

The previous prime is 4022031442189. The next prime is 4022031442307. The reversal of 4022031442302 is 2032441302204.

4022031442302 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 0 + 314 + 42 + 302 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022031442307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 498450724 + ... + 498458792.

It is an arithmetic number, because the mean of its divisors is an integer number (94927288950).

Almost surely, 24022031442302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4022031442302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4556509869600).

4022031442302 is an abundant number, since it is smaller than the sum of its proper divisors (5090988296898).

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

4022031442302 is a wasteful number, since it uses less digits than its factorization.

4022031442302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10562 (or 10559 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 4022031442302 its reverse (2032441302204), we get a palindrome (6054472744506).

The spelling of 4022031442302 in words is "four trillion, twenty-two billion, thirty-one million, four hundred forty-two thousand, three hundred two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 673 1346 1789 2019 3578 4038 5367 6057 8069 10734 12114 15479 16101 16138 24207 30958 32202 41147 46437 48414 72621 82294 92874 123441 139311 145242 185587 246882 278622 370323 371174 556761 740646 1113522 1203997 1670283 2407994 3340566 3611991 5430437 7223982 10835973 10860874 14435441 16291311 21671946 27691931 28870882 32582622 43306323 48873933 55383862 83075793 86612646 97747866 124900051 129918969 166151586 249227379 249800102 259837938 332015143 374700153 498454758 664030286 749400306 996045429 1124100459 1992090858 2248200918 2988136287 5976272574 9715051793 19430103586 29145155379 58290310758 87435466137 174870932274 223446191239 446892382478 670338573717 1340677147434 2011015721151 4022031442302