Search a number
-
+
140430010201000 = 23531389511206827
BaseRepresentation
bin11111111011100001101000…
…110111111011001110101000
3200102012222101212022002002221
4133323201220313323032220
5121401301130102413000
61214400353414003424
741402506364503342
oct3773415067731650
9612188355262087
10140430010201000
114082203a834853
121390033a346574
136048654576010
142696bc4dd2292
151137d9087661a
hex7fb868dfb3a8

140430010201000 has 128 divisors (see below), whose sum is σ = 353923454626560. Its totient is φ = 51845244960000.

The previous prime is 140430010200941. The next prime is 140430010201079. The reversal of 140430010201000 is 102010034041.

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 31 ways as a sum of consecutive naturals, for example, 115759587 + ... + 116966413.

It is an arithmetic number, because the mean of its divisors is an integer number (2765026989270).

Almost surely, 2140430010201000 is an apocalyptic number.

140430010201000 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 140430010201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176961727313280).

140430010201000 is an abundant number, since it is smaller than the sum of its proper divisors (213493444425560).

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

140430010201000 is a wasteful number, since it uses less digits than its factorization.

140430010201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215812 (or 1215798 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 140430010201000 its reverse (102010034041), we get a palindrome (140532020235041).

The spelling of 140430010201000 in words is "one hundred forty trillion, four hundred thirty billion, ten million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 8951 13000 17902 35804 44755 71608 89510 116363 179020 223775 232726 358040 447550 465452 581815 895100 930904 1118875 1163630 1206827 1790200 2237750 2327260 2413654 2909075 4475500 4654520 4827308 5818150 6034135 8951000 9654616 11636300 12068270 14545375 15688751 23272600 24136540 29090750 30170675 31377502 48273080 58181500 60341350 62755004 78443755 116363000 120682700 125510008 150853375 156887510 241365400 301706750 313775020 392218775 603413500 627550040 784437550 1206827000 1568875100 1961093875 3137750200 3922187750 7844375500 10802308477 15688751000 21604616954 43209233908 54011542385 86418467816 108023084770 140430010201 216046169540 270057711925 280860020402 432092339080 540115423850 561720040804 702150051005 1080230847700 1123440081608 1350288559625 1404300102010 2160461695400 2700577119250 2808600204020 3510750255025 5401154238500 5617200408040 7021500510050 10802308477000 14043001020100 17553751275125 28086002040200 35107502550250 70215005100500 140430010201000