Search a number
-
+
140243402014300 = 225213712351646291
BaseRepresentation
bin11111111000110011110110…
…001010001011111001011100
3200101120010201211001222212201
4133320303312022023321130
5121340221441403424200
61214134532432541244
741353152145210654
oct3770636612137134
9611503654058781
10140243402014300
114075a990332152
121389013b6b1824
136033b85861a30
14268bb6170d364
1511330bce4bc6a
hex7f8cf628be5c

140243402014300 has 144 divisors (see below), whose sum is σ = 332495952897024. Its totient is φ = 51031058400000.

The previous prime is 140243402014271. The next prime is 140243402014337. The reversal of 140243402014300 is 3410204342041.

140243402014300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216674155 + ... + 217320445.

It is an arithmetic number, because the mean of its divisors is an integer number (2308999672896).

Almost surely, 2140243402014300 is an apocalyptic number.

140243402014300 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 140243402014300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166247976448512).

140243402014300 is an abundant number, since it is smaller than the sum of its proper divisors (192252550882724).

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

140243402014300 is a wasteful number, since it uses less digits than its factorization.

140243402014300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648740 (or 648733 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 140243402014300 its reverse (3410204342041), we get a palindrome (143653606356341).

The spelling of 140243402014300 in words is "one hundred forty trillion, two hundred forty-three billion, four hundred two million, fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 71 100 130 142 260 284 325 355 650 710 923 1300 1420 1775 1846 2351 3550 3692 4615 4702 7100 9230 9404 11755 18460 23075 23510 30563 46150 47020 58775 61126 92300 117550 122252 152815 166921 235100 305630 333842 611260 646291 667684 764075 834605 1292582 1528150 1669210 2169973 2585164 3056300 3231455 3338420 4173025 4339946 6462910 8346050 8401783 8679892 10849865 12925820 16157275 16692100 16803566 21699730 32314550 33607132 42008915 43399460 45886661 54249325 64629100 84017830 91773322 108498650 168035660 183546644 210044575 216997300 229433305 420089150 458866610 596526593 840178300 917733220 1147166525 1193053186 1519430141 2294333050 2386106372 2982632965 3038860282 4588666100 5965265930 6077720564 7597150705 11930531860 14913164825 15194301410 19752591833 29826329650 30388602820 37985753525 39505183666 59652659300 75971507050 79010367332 98762959165 107879540011 151943014100 197525918330 215759080022 395051836660 431518160044 493814795825 539397700055 987629591650 1078795400110 1402434020143 1975259183300 2157590800220 2696988500275 2804868040286 5393977000550 5609736080572 7012170100715 10787954001100 14024340201430 28048680402860 35060850503575 70121701007150 140243402014300