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4024442421396 = 22322318177334739
BaseRepresentation
bin111010100100000011011…
…101100000000010010100
3112020201210022102100200200
4322210003131200002110
51011414024224441041
612320445303540500
7563520302106645
oct72440335400224
915221708370620
104024442421396
111311835914631
1254bb6975a730
1323267096a087
14dcad96236cc
156ea41c3e1b6
hex3a903760094

4024442421396 has 144 divisors (see below), whose sum is σ = 10687959434880. Its totient is φ = 1274378814720.

The previous prime is 4024442421379. The next prime is 4024442421451. The reversal of 4024442421396 is 6931242444204.

It is a happy number.

4024442421396 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 4 + 424 + 213 + 9 + 6 = 666.

It is a super-2 number, since 2×40244424213962 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 115830595 + ... + 115865333.

It is an arithmetic number, because the mean of its divisors is an integer number (74221940520).

Almost surely, 24024442421396 is an apocalyptic number.

4024442421396 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4024442421396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343979717440).

4024442421396 is an abundant number, since it is smaller than the sum of its proper divisors (6663517013484).

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

4024442421396 is a wasteful number, since it uses less digits than its factorization.

4024442421396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35726 (or 35721 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 4024442421396 in words is "four trillion, twenty-four billion, four hundred forty-two million, four hundred twenty-one thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 181 207 276 362 414 543 724 773 828 1086 1546 1629 2172 2319 3092 3258 4163 4638 6516 6957 8326 9276 12489 13914 16652 17779 24978 27828 34739 35558 37467 49956 53337 69478 71116 74934 104217 106674 138956 139913 149868 160011 208434 213348 279826 312651 320022 416868 419739 559652 625302 640044 798997 839478 1250604 1259217 1597994 1678956 2396991 2518434 3195988 3217999 4793982 5036868 6287759 6435998 7190973 9587964 9653997 12575518 12871996 14381946 18863277 19307994 25151036 26853247 28763892 28961991 37726554 38615988 53706494 56589831 57923982 75453108 80559741 107412988 113179662 115847964 144618457 161119482 226359324 241679223 289236914 322238964 433855371 483358446 578473828 617624681 867710742 966716892 1235249362 1301566113 1735421484 1852874043 2470498724 2603132226 3705748086 4860437707 5206264452 5558622129 7411496172 9720875414 11117244258 14581313121 19441750828 22234488516 29162626242 43743939363 58325252484 87487878726 111790067261 174975757452 223580134522 335370201783 447160269044 670740403566 1006110605349 1341480807132 2012221210698 4024442421396