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3031442412 = 2232337271113
BaseRepresentation
bin1011010010110000…
…0010001111101100
321211021012020012220
42310230002033230
522202022124122
61220450155340
7135056556345
oct26454021754
97737166186
103031442412
111316196609
12707282b50
13394072c0b
1420a86d0cc
1512b20525c
hexb4b023ec

3031442412 has 144 divisors (see below), whose sum is σ = 7760696832. Its totient is φ = 918973440.

The previous prime is 3031442377. The next prime is 3031442443. The reversal of 3031442412 is 2142441303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26826868 + ... + 26826980.

It is an arithmetic number, because the mean of its divisors is an integer number (53893728).

Almost surely, 23031442412 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 3031442412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3880348416).

3031442412 is an abundant number, since it is smaller than the sum of its proper divisors (4729254420).

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

3031442412 is a wasteful number, since it uses less digits than its factorization.

3031442412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3031442412 is about 55058.5362319050. The cubic root of 3031442412 is about 1447.2707140981.

Adding to 3031442412 its reverse (2142441303), we get a palindrome (5173883715).

The spelling of 3031442412 in words is "three billion, thirty-one million, four hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 23 37 46 69 71 74 92 111 113 138 142 148 213 222 226 276 284 339 426 444 452 678 851 852 1356 1369 1633 1702 2553 2599 2627 2738 3266 3404 4107 4181 4899 5106 5198 5254 5476 6532 7797 7881 8023 8214 8362 9798 10212 10396 10508 12543 15594 15762 16046 16428 16724 19596 24069 25086 31188 31487 31524 32092 48138 50172 60421 62974 94461 96163 96276 97199 120842 125948 154697 181263 184529 188922 192326 194398 241684 288489 291597 296851 309394 362526 369058 377844 384652 388796 464091 553587 576978 583194 593702 618788 725052 738116 890553 928182 1107174 1153956 1166388 1187404 1781106 1856364 2214348 2235577 3558031 3562212 4471154 6706731 6827573 7116062 8942308 10674093 10983487 13413462 13655146 14232124 20482719 21348186 21966974 26826924 27310292 32950461 40965438 42696372 43933948 65900922 81930876 131801844 252620201 505240402 757860603 1010480804 1515721206 3031442412