Search a number
-
+
243114044231142 = 232722931949482683
BaseRepresentation
bin110111010001110001100110…
…001111110000110111100110
31011212210110211202011112212200
4313101301212033300313212
5223331140030310344032
62221021014452555330
7102131260436532300
oct6721614617606746
91155713752145780
10243114044231142
11705110a5aa8997
1223325169622b46
13a58672c6c04c6
144406ad5364970
151d18e4a6a847c
hexdd1c663f0de6

243114044231142 has 144 divisors (see below), whose sum is σ = 615154644795600. Its totient is φ = 69188425617024.

The previous prime is 243114044231137. The next prime is 243114044231189. The reversal of 243114044231142 is 241132440411342.

243114044231142 is a `hidden beast` number, since 2 + 4 + 3 + 1 + 1 + 40 + 442 + 31 + 142 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 243114044231097 and 243114044231106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 503430933 + ... + 503913615.

It is an arithmetic number, because the mean of its divisors is an integer number (4271907255525).

Almost surely, 2243114044231142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243114044231142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307577322397800).

243114044231142 is an abundant number, since it is smaller than the sum of its proper divisors (372040600564458).

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

243114044231142 is a wasteful number, since it uses less digits than its factorization.

243114044231142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484947 (or 484937 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 243114044231142 its reverse (241132440411342), we get a palindrome (484246484642484).

The spelling of 243114044231142 in words is "two hundred forty-three trillion, one hundred fourteen billion, forty-four million, two hundred thirty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 293 294 441 586 879 882 1758 1949 2051 2637 3898 4102 5274 5847 6153 11694 12306 13643 14357 17541 18459 27286 28714 35082 36918 40929 43071 81858 86142 95501 122787 129213 191002 245574 258426 286503 482683 571057 573006 859509 965366 1142114 1448049 1713171 1719018 2896098 3378781 3426342 3997399 4344147 5139513 6757562 7994798 8688294 10136343 10279026 11992197 20272686 23651467 23984394 27981793 30409029 35976591 47302934 55963586 60818058 70954401 71953182 83945379 141426119 141908802 167890758 212863203 251836137 282852238 424278357 425726406 503672274 848556714 940749167 989982833 1272835071 1881498334 1979965666 2545670142 2822247501 2969948499 5644495002 5939896998 6585244169 6929879831 8466742503 8909845497 13170488338 13859759662 16933485006 17819690994 19755732507 20789639493 39511465014 41579278986 46096709183 59267197521 62368918479 92193418366 118534395042 124737836958 138290127549 275639505931 276580255098 414870382647 551279011862 826918517793 829740765294 1653837035586 1929476541517 2480755553379 3858953083034 4961511106758 5788429624551 11576859249102 13506335790619 17365288873653 27012671581238 34730577747306 40519007371857 81038014743714 121557022115571 243114044231142