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140432232005000 = 23541319997108041
BaseRepresentation
bin11111111011100011101101…
…010011011011110110001000
3200102020012010201000102012222
4133323203231103123312020
5121401320202343130000
61214401402102553212
741402615423514125
oct3773435523336610
9612205121012188
10140432232005000
1140822a7a9a7001
121390085a438808
13604891996cc40
142696d5610774c
151137e7094da85
hex7fb8ed4dbd88

140432232005000 has 160 divisors (see below), whose sum is σ = 354363928463160. Its totient is φ = 51848828160000.

The previous prime is 140432232004979. The next prime is 140432232005071. The reversal of 140432232005000 is 500232234041.

It can be written as a sum of positive squares in 20 ways, for example, as 52983811884004 + 87448420120996 = 7278998^2 + 9351386^2 .

It is a super-3 number, since 3×1404322320050003 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1299750980 + ... + 1299859020.

Almost surely, 2140432232005000 is an apocalyptic number.

140432232005000 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 140432232005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177181964231580).

140432232005000 is an abundant number, since it is smaller than the sum of its proper divisors (213931696458160).

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

140432232005000 is a wasteful number, since it uses less digits than its factorization.

140432232005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128077 (or 128058 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 140432232005000 its reverse (500232234041), we get a palindrome (140932464239041).

The spelling of 140432232005000 in words is "one hundred forty trillion, four hundred thirty-two billion, two hundred thirty-two million, five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 625 650 1000 1250 1300 1625 2500 2600 3250 5000 6500 8125 13000 16250 19997 32500 39994 65000 79988 99985 108041 159976 199970 216082 259961 399940 432164 499925 519922 540205 799880 864328 999850 1039844 1080410 1299805 1404533 1999700 2079688 2160820 2499625 2599610 2701025 2809066 3999400 4321640 4999250 5199220 5402050 5618132 6499025 7022665 9998500 10398440 10804100 11236264 12498125 12998050 13505125 14045330 19997000 21608200 24996250 25996100 27010250 28090660 32495125 35113325 49992500 51992200 54020500 56181320 64990250 67525625 70226650 99985000 108041000 129980500 135051250 140453300 162475625 175566625 259961000 270102500 280906600 324951250 351133250 540205000 649902500 702266500 877833125 1299805000 1404533000 1755666250 2160495877 3511332500 4320991754 7022665000 8641983508 10802479385 17283967016 21604958770 28086446401 43209917540 54012396925 56172892802 86419835080 108024793850 112345785604 140432232005 216049587700 224691571208 270061984625 280864464010 432099175400 540123969250 561728928020 702161160025 1080247938500 1123457856040 1350309923125 1404322320050 2160495877000 2700619846250 2808644640100 3510805800125 5401239692500 5617289280200 7021611600250 10802479385000 14043223200500 17554029000625 28086446401000 35108058001250 70216116002500 140432232005000