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14224013401020 = 22355312893470101
BaseRepresentation
bin1100111011111100100101…
…0001000001101110111100
31212100210122221122210200220
43032333021101001232330
53331021234412313040
650130231015421340
72665436212011063
oct316771121015674
955323587583626
1014224013401020
114594408822455
121718861384850
137c241b282047
143726358771da
15199eec60e2d0
hexcefc9441bbc

14224013401020 has 96 divisors (see below), whose sum is σ = 40610187293760. Its totient is φ = 3718614681600.

The previous prime is 14224013401009. The next prime is 14224013401121. The reversal of 14224013401020 is 2010431042241.

It is a congruent number.

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, 2363970 + ... + 5834070.

It is an arithmetic number, because the mean of its divisors is an integer number (423022784310).

Almost surely, 214224013401020 is an apocalyptic number.

14224013401020 is a gapful number since it is divisible by the number (10) 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 14224013401020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20305093646880).

14224013401020 is an abundant number, since it is smaller than the sum of its proper divisors (26386173892740).

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

14224013401020 is a wasteful number, since it uses less digits than its factorization.

14224013401020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3471455 (or 3471453 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14224013401020 its reverse (2010431042241), we get a palindrome (16234444443261).

The spelling of 14224013401020 in words is "fourteen trillion, two hundred twenty-four billion, thirteen million, four hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1289 1590 2578 3180 3867 5156 6445 7734 12890 15468 19335 25780 38670 68317 77340 136634 204951 273268 341585 409902 683170 819804 1024755 1366340 2049510 3470101 4099020 6940202 10410303 13880404 17350505 20820606 34701010 41641212 52051515 69402020 104103030 183915353 208206060 367830706 551746059 735661412 919576765 1103492118 1839153530 2206984236 2758730295 3678307060 4472960189 5517460590 8945920378 11034921180 13418880567 17891840756 22364800945 26837761134 44729601890 53675522268 67094402835 89459203780 134188805670 237066890017 268377611340 474133780034 711200670051 948267560068 1185334450085 1422401340102 2370668900170 2844802680204 3556003350255 4741337800340 7112006700510 14224013401020