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13444435334412 = 223229239241223577
BaseRepresentation
bin1100001110100100011011…
…0010101101010100001100
31202121021102210222202202200
43003221012302231110030
53230233200421200122
644332142140121500
72555220432535335
oct303510662552414
952537383882680
1013444435334412
114313831283565
121611756236290
13766a60231034
143469dd86b28c
15184ac21305ac
hexc3a46cad50c

13444435334412 has 144 divisors (see below), whose sum is σ = 35450169955200. Its totient is φ = 4290942136320.

The previous prime is 13444435334387. The next prime is 13444435334497. The reversal of 13444435334412 is 21443353444431.

13444435334412 is a `hidden beast` number, since 1 + 34 + 4 + 4 + 43 + 533 + 4 + 41 + 2 = 666.

It is a super-2 number, since 2×134444353344122 (a number of 27 digits) contains 22 as substring.

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, 60021568 + ... + 60245144.

It is an arithmetic number, because the mean of its divisors is an integer number (246181735800).

Almost surely, 213444435334412 is an apocalyptic number.

13444435334412 is a gapful number since it is divisible by the number (12) 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 13444435334412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17725084977600).

13444435334412 is an abundant number, since it is smaller than the sum of its proper divisors (22005734620788).

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

13444435334412 is a wasteful number, since it uses less digits than its factorization.

13444435334412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224096 (or 224091 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 45.

Adding to 13444435334412 its reverse (21443353444431), we get a palindrome (34887788778843).

The spelling of 13444435334412 in words is "thirteen trillion, four hundred forty-four billion, four hundred thirty-five million, three hundred thirty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 239 241 261 348 478 482 522 717 723 956 964 1044 1434 1446 2151 2169 2868 2892 4302 4338 6931 6989 8604 8676 13862 13978 20793 20967 27724 27956 41586 41934 57599 62379 62901 83172 83868 115198 124758 125802 172797 223577 230396 249516 251604 345594 447154 518391 670731 691188 894308 1036782 1341462 1670371 2012193 2073564 2682924 3340742 4024386 5011113 6483733 6681484 8048772 10022226 12967466 15033339 19451199 20044452 25934932 30066678 38902398 53434903 53882057 58353597 60133356 77804796 106869806 107764114 116707194 160304709 161646171 213739612 215528228 233414388 320609418 323292342 480914127 484938513 641218836 646584684 961828254 969877026 1549612187 1562579653 1923656508 1939754052 3099224374 3125159306 4648836561 4687738959 6198448748 6250318612 9297673122 9375477918 12877811623 13946509683 14063216877 18595346244 18750955836 25755623246 27893019366 28126433754 38633434869 51511246492 55786038732 56252867508 77266869738 115900304607 154533739476 231800609214 373456537067 463601218428 746913074134 1120369611201 1493826148268 2240739222402 3361108833603 4481478444804 6722217667206 13444435334412