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14023131131000 = 235379269659881
BaseRepresentation
bin1100110000010000001110…
…1111111110110001111000
31211122121011010020011021002
43030010003233332301320
53314223333032143000
645454045411304132
72645065155621215
oct314040357766170
954577133204232
1014023131131000
1145171a3a39782
1216a593a2ab048
137a94b6236604
14366a1a532b0c
15194b919b18d5
hexcc103bfec78

14023131131000 has 128 divisors (see below), whose sum is σ = 33353075808000. Its totient is φ = 5517652608000.

The previous prime is 14023131130991. The next prime is 14023131131017. The reversal of 14023131131000 is 13113132041.

It is a super-2 number, since 2×140231311310002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 20921060 + ... + 21580940.

It is an arithmetic number, because the mean of its divisors is an integer number (260570904750).

Almost surely, 214023131131000 is an apocalyptic number.

14023131131000 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 14023131131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16676537904000).

14023131131000 is an abundant number, since it is smaller than the sum of its proper divisors (19329944677000).

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

14023131131000 is a wasteful number, since it uses less digits than its factorization.

14023131131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660250 (or 660236 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 14023131131000 its reverse (13113132041), we get a palindrome (14036244263041).

The spelling of 14023131131000 in words is "fourteen trillion, twenty-three billion, one hundred thirty-one million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 125 158 200 250 269 316 395 500 538 632 790 1000 1076 1345 1580 1975 2152 2690 3160 3950 5380 6725 7900 9875 10760 13450 15800 19750 21251 26900 33625 39500 42502 53800 67250 79000 85004 106255 134500 170008 212510 269000 425020 531275 659881 850040 1062550 1319762 2125100 2639524 2656375 3299405 4250200 5279048 5312750 6598810 10625500 13197620 16497025 21251000 26395240 32994050 52130599 65988100 82485125 104261198 131976200 164970250 177507989 208522396 260652995 329940500 355015978 417044792 521305990 659881000 710031956 887539945 1042611980 1303264975 1420063912 1775079890 2085223960 2606529950 3550159780 4437699725 5213059900 6516324875 7100319560 8875399450 10426119800 13032649750 14023131131 17750798900 22188498625 26065299500 28046262262 35501597800 44376997250 52130599000 56092524524 70115655655 88753994500 112185049048 140231311310 177507989000 280462622620 350578278275 560925245240 701156556550 1402313113100 1752891391375 2804626226200 3505782782750 7011565565500 14023131131000