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14081000371344 = 2433127604742443
BaseRepresentation
bin1100110011100111110100…
…0001100111010010010000
31211212010112010102011021000
43030321331001213102100
53321200342043340334
645540420002102000
72652214213220514
oct314717501472220
954763463364230
1014081000371344
11453979a689545
1216b4baa64a900
137b1aa93c5c6a
1436974a010144
1519642c123299
hexcce7d067490

14081000371344 has 160 divisors (see below), whose sum is σ = 40743632240640. Its totient is φ = 4655828999808.

The previous prime is 14081000371253. The next prime is 14081000371363. The reversal of 14081000371344 is 44317300018041.

14081000371344 is a `hidden beast` number, since 140 + 8 + 100 + 0 + 3 + 71 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14081000371299 and 14081000371308.

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, 331741387 + ... + 331783829.

It is an arithmetic number, because the mean of its divisors is an integer number (254647701504).

Almost surely, 214081000371344 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 14081000371344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20371816120320).

14081000371344 is an abundant number, since it is smaller than the sum of its proper divisors (26662631869296).

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

14081000371344 is a wasteful number, since it uses less digits than its factorization.

14081000371344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48634 (or 48622 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 14081000371344 its reverse (44317300018041), we get a palindrome (58398300389385).

The spelling of 14081000371344 in words is "fourteen trillion, eighty-one billion, three hundred seventy-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 127 144 216 254 381 432 508 762 1016 1143 1524 2032 2286 3048 3429 4572 6047 6096 6858 9144 12094 13716 18141 18288 24188 27432 36282 42443 48376 54423 54864 72564 84886 96752 108846 127329 145128 163269 169772 217692 254658 290256 326538 339544 381987 435384 509316 653076 679088 763974 767969 870768 1018632 1145961 1306152 1527948 1535938 2037264 2291922 2303907 2612304 3055896 3071876 4583844 4607814 5390261 6111792 6143752 6911721 9167688 9215628 10780522 12287504 13823442 16170783 18335376 18431256 20735163 21561044 27646884 32341566 36862512 41470326 43122088 48512349 55293768 64683132 82940652 86244176 97024698 110587536 129366264 145537047 165881304 194049396 256652821 258732528 291074094 331762608 388098792 513305642 582148188 769958463 776197584 1026611284 1164296376 1539916926 2053222568 2309875389 2328592752 3079833852 4106445136 4619750778 6159667704 6929626167 9239501556 12319335408 13859252334 18479003112 27718504668 32594908267 36958006224 55437009336 65189816534 97784724801 110874018672 130379633068 195569449602 260759266136 293354174403 391138899204 521518532272 586708348806 782277798408 880062523209 1173416697612 1564555596816 1760125046418 2346833395224 3520250092836 4693666790448 7040500185672 14081000371344