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243201040040 = 23572931966157
BaseRepresentation
bin1110001001111111101…
…0010101111010101000
3212020202002122220102102
43202133322111322220
512441033431240130
6303420334152532
723366514506030
oct3423772257250
9766662586372
10243201040040
1194160712a82
123b173652748
1319c1a61576a
14bab18688c0
1564d5eb2645
hex389fe95ea8

243201040040 has 128 divisors (see below), whose sum is σ = 667808409600. Its totient is φ = 77910819840.

The previous prime is 243201040037. The next prime is 243201040067. The reversal of 243201040040 is 40040102342.

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

It is a junction number, because it is equal to n+sod(n) for n = 243201039994 and 243201040021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231359 + ... + 734798.

It is an arithmetic number, because the mean of its divisors is an integer number (5217253200).

Almost surely, 2243201040040 is an apocalyptic number.

243201040040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243201040040 is an abundant number, since it is smaller than the sum of its proper divisors (424607369560).

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

243201040040 is a wasteful number, since it uses less digits than its factorization.

243201040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966235 (or 966231 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 243201040040 its reverse (40040102342), we get a palindrome (283241142382).

The spelling of 243201040040 in words is "two hundred forty-three billion, two hundred one million, forty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 31 35 40 56 58 62 70 116 124 140 145 155 203 217 232 248 280 290 310 406 434 580 620 812 868 899 1015 1085 1160 1240 1624 1736 1798 2030 2170 3596 4060 4340 4495 6293 7192 8120 8680 8990 12586 17980 25172 31465 35960 50344 62930 125860 251720 966157 1932314 3864628 4830785 6763099 7729256 9661570 13526198 19323140 27052396 28018553 29950867 33815495 38646280 54104792 56037106 59901734 67630990 112074212 119803468 135261980 140092765 149754335 196129871 209656069 224148424 239606936 270523960 280185530 299508670 392259742 419312138 560371060 599017340 784519484 838624276 868575143 980649355 1048280345 1120742120 1198034680 1569038968 1677248552 1737150286 1961298710 2096560690 3474300572 3922597420 4193121380 4342875715 6080026001 6948601144 7845194840 8386242760 8685751430 12160052002 17371502860 24320104004 30400130005 34743005720 48640208008 60800260010 121600520020 243201040040