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1312332014224 = 2471143113219223
BaseRepresentation
bin10011000110001101000…
…101010110001010010000
311122110100200012200110201
4103012031011112022100
5133000123443423344
62442513233304544
7163545545032540
oct23061505261220
94573320180421
101312332014224
11466614233a90
12192409405154
13969a1c8878a
1447735311320
152420b8ca4d4
hex1318d156290

1312332014224 has 160 divisors (see below), whose sum is σ = 3272491689984. Its totient is φ = 494985738240.

The previous prime is 1312332014173. The next prime is 1312332014243. The reversal of 1312332014224 is 4224102332131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1312332014192 and 1312332014201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5876677 + ... + 6095899.

Almost surely, 21312332014224 is an apocalyptic number.

1312332014224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312332014224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636245844992).

1312332014224 is an abundant number, since it is smaller than the sum of its proper divisors (1960159675760).

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

1312332014224 is a wasteful number, since it uses less digits than its factorization.

1312332014224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219405 (or 219399 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1312332014224 its reverse (4224102332131), we get a palindrome (5536434346355).

The spelling of 1312332014224 in words is "one trillion, three hundred twelve billion, three hundred thirty-two million, fourteen thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 43 44 56 77 86 88 112 113 154 172 176 226 301 308 344 452 473 602 616 688 791 904 946 1204 1232 1243 1582 1808 1892 2408 2486 3164 3311 3784 4816 4859 4972 6328 6622 7568 8701 9718 9944 12656 13244 17402 19436 19888 26488 34013 34804 38872 52976 53449 68026 69608 77744 106898 136052 139216 213796 219223 272104 374143 427592 438446 544208 748286 855184 876892 1496572 1534561 1753784 2411453 2993144 3069122 3507568 4822906 5986288 6138244 9426589 9645812 12276488 16880171 18853178 19291624 24552976 24772199 33760342 37706356 38583248 49544398 65986123 67520684 75412712 99088796 103692479 131972246 135041368 150825424 173405393 198177592 207384958 263944492 270082736 272494189 346810786 396355184 414769916 527888984 544988378 693621572 725847353 829539832 1055777968 1065204557 1089976756 1387243144 1451694706 1659079664 1907459323 2130409114 2179953512 2774486288 2903389412 3814918646 4260818228 4359907024 5806778824 7456431899 7629837292 8521636456 11613557648 11717250127 14912863798 15259674584 17043272912 23434500254 29825727596 30519349168 46869000508 59651455192 82020750889 93738001016 119302910384 164041501778 187476002032 328083003556 656166007112 1312332014224