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40242012204042 = 2351119396184183
BaseRepresentation
bin10010010011001100100101…
…10101111010110000001010
312021111002200000120210100000
421021212102311322300022
520233311120111012132
6221330531501423430
711322250401612435
oct1111462265726012
9167432600523300
1040242012204042
11119055a5866a60
12461b20856ab76
13195ba617c736c
149d1a1c0bc81c
1549bbc164b87c
hex249992d7ac0a

40242012204042 has 96 divisors (see below), whose sum is σ = 103831950942720. Its totient is φ = 11552730747120.

The previous prime is 40242012203971. The next prime is 40242012204077. The reversal of 40242012204042 is 24040221024204.

40242012204042 is a `hidden beast` number, since 4 + 0 + 242 + 0 + 12 + 2 + 0 + 404 + 2 = 666.

It is a super-2 number, since 2×402420122040422 (a number of 28 digits) contains 22 as substring.

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 = 40242012203997 and 40242012204015.

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, 197990518 + ... + 198193665.

It is an arithmetic number, because the mean of its divisors is an integer number (1081582822320).

Almost surely, 240242012204042 is an apocalyptic number.

40242012204042 is an abundant number, since it is smaller than the sum of its proper divisors (63589938738678).

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

40242012204042 is a wasteful number, since it uses less digits than its factorization.

40242012204042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396184230 (or 396184218 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 40242012204042 its reverse (24040221024204), we get a palindrome (64282233228246).

The spelling of 40242012204042 in words is "forty trillion, two hundred forty-two billion, twelve million, two hundred four thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 81 99 114 162 171 198 209 243 297 342 418 486 513 594 627 891 1026 1254 1539 1782 1881 2673 3078 3762 4617 5346 5643 9234 11286 16929 33858 50787 101574 396184183 792368366 1188552549 2377105098 3565657647 4358026013 7131315294 7527499477 8716052026 10696972941 13074078039 15054998954 21393945882 22582498431 26148156078 32090918823 39222234117 45164996862 64181837646 67747495293 78444468234 82802494247 96272756469 117666702351 135494990586 165604988494 192545512938 203242485879 235333404702 248407482741 353000107053 406484971758 496814965482 609727457637 706000214106 745222448223 1059000321159 1219454915274 1490444896446 1829182372911 2118000642318 2235667344669 3658364745822 4471334689338 6707002034007 13414004068014 20121006102021 40242012204042