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14002243220020 = 22511619671078993
BaseRepresentation
bin1100101111000010011010…
…1110111011001000110100
31211120121020101221100010111
43023300212232323020310
53313403043231020040
645440313003032404
72643425432405446
oct313604656731064
954517211840114
1014002243220020
114509355295030
1216a188ab0b704
137a7537908983
143659d835a496
1519436cd05dea
hexcbc26bbb234

14002243220020 has 96 divisors (see below), whose sum is σ = 32637479567616. Its totient is φ = 5003070105600.

The previous prime is 14002243220003. The next prime is 14002243220033. The reversal of 14002243220020 is 2002234220041.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 14002243219973 and 14002243220000.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 12437644 + ... + 13516636.

It is an arithmetic number, because the mean of its divisors is an integer number (339973745496).

Almost surely, 214002243220020 is an apocalyptic number.

14002243220020 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 14002243220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16318739783808).

14002243220020 is an abundant number, since it is smaller than the sum of its proper divisors (18635236347596).

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

14002243220020 is a wasteful number, since it uses less digits than its factorization.

14002243220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080041 (or 1080039 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 14002243220020 its reverse (2002234220041), we get a palindrome (16004477440061).

The spelling of 14002243220020 in words is "fourteen trillion, two billion, two hundred forty-three million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 610 671 967 1220 1342 1934 2684 3355 3868 4835 6710 9670 10637 13420 19340 21274 42548 53185 58987 106370 117974 212740 235948 294935 589870 648857 1078993 1179740 1297714 2157986 2595428 3244285 4315972 5394965 6488570 10789930 11868923 12977140 21579860 23737846 47475692 59344615 65818573 118689230 131637146 237378460 263274292 329092865 658185730 724004303 1043386231 1316371460 1448008606 2086772462 2896017212 3620021515 4173544924 5216931155 7240043030 10433862310 11477248541 14480086060 20867724620 22954497082 45908994164 57386242705 63646560091 114772485410 127293120182 229544970820 254586240364 318232800455 636465600910 700112161001 1272931201820 1400224322002 2800448644004 3500560805005 7001121610010 14002243220020