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40212302141011 = 71113213130417757
BaseRepresentation
bin10010010010010101001111…
…11111000001011001010011
312021101020222110212012201011
421021022213333001121103
520232314243322003021
6221305135423551351
711320146222342040
oct1111124777013123
9167336873765634
1040212302141011
11118a3a3a253960
1246154b675b557
131959008518900
149d04003881c7
1549b0331e4de1
hex2492a7fc1653

40212302141011 has 96 divisors (see below), whose sum is σ = 54727453287936. Its totient is φ = 28690002432000.

The previous prime is 40212302140939. The next prime is 40212302141069. The reversal of 40212302141011 is 11014120321204.

40212302141011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40212302141011 - 29 = 40212302140499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40212302141311) 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 95 ways as a sum of consecutive naturals, for example, 5183997945 + ... + 5184005701.

It is an arithmetic number, because the mean of its divisors is an integer number (570077638416).

Almost surely, 240212302141011 is an apocalyptic number.

40212302141011 is a deficient number, since it is larger than the sum of its proper divisors (14515151146925).

40212302141011 is a wasteful number, since it uses less digits than its factorization.

40212302141011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10973 (or 10960 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 40212302141011 its reverse (11014120321204), we get a palindrome (51226422462215).

The spelling of 40212302141011 in words is "forty trillion, two hundred twelve billion, three hundred two million, one hundred forty-one thousand, eleven".

Divisors: 1 7 11 13 77 91 131 143 169 917 1001 1183 1441 1703 1859 3041 7757 10087 11921 13013 18733 21287 22139 33451 39533 54299 85327 100841 131131 154973 234157 243529 276731 398371 434863 513929 597289 705887 1016167 1109251 1310933 1704703 2788597 3044041 3597503 4382081 5178823 5653219 7113169 7764757 9176531 11177837 13210171 14420263 23589037 30674567 36251761 39572533 56967053 67324699 78244859 92471197 100941841 145311881 165123259 171732223 259479407 306657481 398769371 471272893 740571689 1017183167 1202125561 1816355849 1889054453 2146602367 3090163847 3373232291 3986547253 5184001823 13223381171 21631146929 23612626037 27905830771 33991802317 40172130011 43852019783 237942616219 281204910077 306964138481 441893430121 522237690143 3093254010847 3655663831001 5744614591573 40212302141011