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14023133030020 = 2252973593558521
BaseRepresentation
bin1100110000010000001111…
…0111001110011010000100
31211122121011020210122020011
43030010003313032122010
53314223334023430040
645454045520120004
72645065211020552
oct314040367163204
954577136718204
1014023133030020
1145171a5016514
1216a593aa66004
137a94b674caaa
14366a1a8a8bd2
15194b91c393ea
hexcc103dce684

14023133030020 has 96 divisors (see below), whose sum is σ = 30933495220320. Its totient is φ = 5332623851520.

The previous prime is 14023133029937. The next prime is 14023133030087. The reversal of 14023133030020 is 2003033132041.

It can be written as a sum of positive squares in 16 ways, for example, as 4866021280836 + 9157111749184 = 2205906^2 + 3026072^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14023133029973 and 14023133030000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24828360 + ... + 25386880.

It is an arithmetic number, because the mean of its divisors is an integer number (322223908545).

Almost surely, 214023133030020 is an apocalyptic number.

14023133030020 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 14023133030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15466747610160).

14023133030020 is an abundant number, since it is smaller than the sum of its proper divisors (16910362190300).

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

14023133030020 is a wasteful number, since it uses less digits than its factorization.

14023133030020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559225 (or 559223 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 14023133030020 its reverse (2003033132041), we get a palindrome (16026166162061).

The spelling of 14023133030020 in words is "fourteen trillion, twenty-three billion, one hundred thirty-three million, thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 73 116 145 146 290 292 365 580 593 730 1186 1460 2117 2372 2965 4234 5930 8468 10585 11860 17197 21170 34394 42340 43289 68788 85985 86578 171970 173156 216445 343940 432890 558521 865780 1117042 1255381 2234084 2510762 2792605 5021524 5585210 6276905 11170420 12553810 16197109 25107620 32394218 40772033 64788436 80985545 81544066 161971090 163088132 203860165 323942180 331202953 407720330 662405906 815440660 1182388957 1324811812 1656014765 2364777914 3312029530 4729555828 5911944785 6624059060 9604885637 11823889570 19209771274 23647779140 24177815569 38419542548 48024428185 48355631138 96048856370 96711262276 120889077845 192097712740 241778155690 483556311380 701156651501 1402313303002 2804626606004 3505783257505 7011566515010 14023133030020