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4422102540012 = 2233193541608591
BaseRepresentation
bin100000001011001100111…
…0110011101111011101100
3120122202012221002102212000
41000112121312131323230
51034422431222240022
613223252540212300
7634325552254233
oct100263166357354
916582187072760
104422102540012
111455448666463
125b504923a090
132610055ab701
14114060b35b1a
157a067ed96ac
hex40599d9deec

4422102540012 has 96 divisors (see below), whose sum is σ = 12071544038400. Its totient is φ = 1396056772800.

The previous prime is 4422102539971. The next prime is 4422102540017. The reversal of 4422102540012 is 2100452012244.

It is a happy number.

4422102540012 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 102 + 540 + 0 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4422102540017) 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 31 ways as a sum of consecutive naturals, for example, 6961837 + ... + 7570427.

It is an arithmetic number, because the mean of its divisors is an integer number (125745250400).

Almost surely, 24422102540012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4422102540012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6035772019200).

4422102540012 is an abundant number, since it is smaller than the sum of its proper divisors (7649441498388).

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

4422102540012 is a wasteful number, since it uses less digits than its factorization.

4422102540012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612164 (or 612156 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 4422102540012 its reverse (2100452012244), we get a palindrome (6522554552256).

The spelling of 4422102540012 in words is "four trillion, four hundred twenty-two billion, one hundred two million, five hundred forty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 3541 7082 10623 14164 21246 31869 42492 63738 67279 95607 127476 134558 191214 201837 269116 382428 403674 605511 608591 807348 1211022 1217182 1816533 1825773 2422044 2434364 3633066 3651546 5477319 7266132 7303092 10954638 11563229 16431957 21909276 23126458 32863914 34689687 46252916 65727828 69379374 104069061 138758748 208138122 312207183 416276244 624414366 1248828732 2155020731 4310041462 6465062193 8620082924 12930124386 19395186579 25860248772 38790373158 40945393889 58185559737 77580746316 81890787778 116371119474 122836181667 163781575556 232742238948 245672363334 368508545001 491344726668 737017090002 1105525635003 1474034180004 2211051270006 4422102540012