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243201405042 = 2347179267649
BaseRepresentation
bin1110001001111111101…
…1101111000001110010
3212020202010100110010000
43202133323233001302
512441034024430132
6303420350050430
723366520556131
oct3423773570162
9766663313100
10243201405042
1194160942232
123b1737a9a16
1319c1a71293b
14bab1921918
1564d603587c
hex389feef072

243201405042 has 80 divisors (see below), whose sum is σ = 559624032000. Its totient is φ = 78913336320.

The previous prime is 243201405037. The next prime is 243201405043. The reversal of 243201405042 is 240504102342.

243201405042 is a `hidden beast` number, since 2 + 432 + 0 + 140 + 50 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 243201404997 and 243201405015.

It is not an unprimeable number, because it can be changed into a prime (243201405043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 774834 + ... + 1042482.

It is an arithmetic number, because the mean of its divisors is an integer number (6995300400).

Almost surely, 2243201405042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243201405042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279812016000).

243201405042 is an abundant number, since it is smaller than the sum of its proper divisors (316422626958).

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

243201405042 is a wasteful number, since it uses less digits than its factorization.

243201405042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267813 (or 267804 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 243201405042 its reverse (240504102342), we get a palindrome (483705507384).

The spelling of 243201405042 in words is "two hundred forty-three billion, two hundred one million, four hundred five thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 71 79 81 142 158 162 213 237 426 474 639 711 1278 1422 1917 2133 3834 4266 5609 5751 6399 11218 11502 12798 16827 33654 50481 100962 151443 267649 302886 454329 535298 802947 908658 1605894 2408841 4817682 7226523 14453046 19003079 21144271 21679569 38006158 42288542 43359138 57009237 63432813 114018474 126865626 171027711 190298439 342055422 380596878 513083133 570895317 1026166266 1141790634 1501243241 1539249399 1712685951 3002486482 3078498798 3425371902 4503729723 9007459446 13511189169 27022378338 40533567507 81067135014 121600702521 243201405042