Search a number
-
+
40420363812075 = 325213233281211063
BaseRepresentation
bin10010011000011000110010…
…11011010011110011101011
312022010011000122121012220100
421030030121123103303223
520244221401113441300
6221544505255400443
711341163203353162
oct1114143133236353
9168104018535810
1040420363812075
11119741a8684925
1246498a2083123
131972815a91640
149da4dadc83d9
154a165e297700
hex24c3196d3ceb

40420363812075 has 144 divisors (see below), whose sum is σ = 78580033930944. Its totient is φ = 19743246028800.

The previous prime is 40420363812047. The next prime is 40420363812079. The reversal of 40420363812075 is 57021836302404.

40420363812075 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 0 + 3 + 638 + 1 + 2 + 0 + 7 + 5 = 666.

It is not a de Polignac number, because 40420363812075 - 215 = 40420363779307 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 40420363812075.

It is not an unprimeable number, because it can be changed into a prime (40420363812079) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 191402994 + ... + 191614056.

It is an arithmetic number, because the mean of its divisors is an integer number (545694680076).

Almost surely, 240420363812075 is an apocalyptic number.

40420363812075 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40420363812075 is a deficient number, since it is larger than the sum of its proper divisors (38159670118869).

40420363812075 is a wasteful number, since it uses less digits than its factorization.

40420363812075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211606 (or 211598 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 40420363812075 in words is "forty trillion, four hundred twenty billion, three hundred sixty-three million, eight hundred twelve thousand, seventy-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 233 281 325 585 699 843 975 1165 1405 2097 2529 2925 3029 3495 3653 4215 5825 7025 9087 10485 10959 12645 15145 17475 18265 21075 27261 32877 45435 52425 54795 63225 65473 75725 91325 136305 164385 196419 211063 227175 273975 327365 589257 633189 681525 821925 851149 982095 1055315 1636825 1899567 2553447 2743819 2946285 3165945 4255745 4910475 5276575 7660341 8231457 9497835 12767235 13719095 14731425 15829725 21278725 24694371 38301705 41157285 47489175 49177679 59308703 63836175 68595475 123471855 147533037 177926109 191508525 205786425 245888395 296543515 442599111 533778327 617359275 639309827 737665185 771013139 889630545 1229441975 1482717575 1917929481 2212995555 2313039417 2668891635 3196549135 3688325925 3855065695 4448152725 5753788443 6939118251 9589647405 11064977775 11565197085 13344458175 13818927799 15982745675 19275328475 28768942215 34695591255 41456783397 47948237025 57825985425 69094638995 124370350191 143844711075 173477956275 179646061387 207283916985 345473194975 538938184161 621851750955 898230306935 1036419584925 1616814552483 2694690920805 3109258754775 4491151534675 8084072762415 13473454604025 40420363812075