Search a number
-
+
12331212011440 = 245743350854553
BaseRepresentation
bin1011001101110001010110…
…0000101111011110110000
31121122212000100220121001021
42303130111200233132300
53104013310233331230
642120514112545224
72411620633446640
oct263342540573660
947585010817037
1012331212011440
113a24701785283
121471a55b52214
136b5a9ca21cca
14308b96104520
15165b6a817c7a
hexb371582f7b0

12331212011440 has 80 divisors (see below), whose sum is σ = 32841464136768. Its totient is φ = 4218079961088.

The previous prime is 12331212011413. The next prime is 12331212011473. The reversal of 12331212011440 is 4411021213321.

It is a tau number, because it is divible by the number of its divisors (80).

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, 25184797 + ... + 25669756.

Almost surely, 212331212011440 is an apocalyptic number.

12331212011440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12331212011440 is an abundant number, since it is smaller than the sum of its proper divisors (20510252125328).

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

12331212011440 is a wasteful number, since it uses less digits than its factorization.

12331212011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50855006 (or 50855000 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 12331212011440 its reverse (4411021213321), we get a palindrome (16742233224761).

The spelling of 12331212011440 in words is "twelve trillion, three hundred thirty-one billion, two hundred twelve million, eleven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 433 560 866 1732 2165 3031 3464 4330 6062 6928 8660 12124 15155 17320 24248 30310 34640 48496 60620 121240 242480 50854553 101709106 203418212 254272765 355981871 406836424 508545530 711963742 813672848 1017091060 1423927484 1779909355 2034182120 2847854968 3559818710 4068364240 5695709936 7119637420 14239274840 22020021449 28478549680 44040042898 88080085796 110100107245 154140150143 176160171592 220200214490 308280300286 352320343184 440400428980 616560600572 770700750715 880800857960 1233121201144 1541401501430 1761601715920 2466242402288 3082803002860 6165606005720 12331212011440