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14033442131220 = 2235547722959149
BaseRepresentation
bin1100110000110110101001…
…0101010100110100010100
31211200120202201012020111010
43030031222111110310110
53314410442141144340
645502512504012220
72645611530646311
oct314155225246424
954616681166433
1014033442131220
114520605260866
1216a7937461070
137aa46a4a3785
14367317acdd08
15195096d02b80
hexcc36a554d14

14033442131220 has 96 divisors (see below), whose sum is σ = 39371583888000. Its totient is φ = 3734829955584.

The previous prime is 14033442131213. The next prime is 14033442131221. The reversal of 14033442131220 is 2213124433041.

It is a super-3 number, since 3×140334421312203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14033442131221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237226206 + ... + 237285354.

It is an arithmetic number, because the mean of its divisors is an integer number (410120665500).

Almost surely, 214033442131220 is an apocalyptic number.

14033442131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14033442131220 is an abundant number, since it is smaller than the sum of its proper divisors (25338141756780).

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

14033442131220 is a wasteful number, since it uses less digits than its factorization.

14033442131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66937 (or 66935 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 14033442131220 its reverse (2213124433041), we get a palindrome (16246566564261).

The spelling of 14033442131220 in words is "fourteen trillion, thirty-three billion, four hundred forty-two million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 547 1094 1641 2188 2735 3282 5470 6564 7229 8205 10940 14458 16410 21687 28916 32820 36145 43374 59149 72290 86748 108435 118298 144580 177447 216870 236596 295745 354894 433740 591490 709788 887235 1182980 1774470 3548940 3954263 7908526 11862789 15817052 19771315 23725578 32354503 39542630 47451156 59313945 64709006 79085260 97063509 118627890 129418012 161772515 194127018 237255780 323545030 388254036 427588121 485317545 647090060 855176242 970635090 1282764363 1710352484 1941270180 2137940605 2565528726 4275881210 5131057452 6413821815 8551762420 12827643630 25655287260 233890702187 467781404374 701672106561 935562808748 1169453510935 1403344213122 2338907021870 2806688426244 3508360532805 4677814043740 7016721065610 14033442131220