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40222244413998 = 23317239946319373
BaseRepresentation
bin10010010010100111110001…
…00101110010001000101110
312021102012122101000000021000
421021103320211302020232
520233000124032221443
6221313502145221130
711320650466304463
oct1111237045621056
9167365571000230
1040222244413998
11118a818141a799
1246174103317a6
131959c3127388a
149d0aa49a166a
1549b415e9d8d3
hex2494f897222e

40222244413998 has 128 divisors (see below), whose sum is σ = 95051509862400. Its totient is φ = 12563968790016.

The previous prime is 40222244413997. The next prime is 40222244414041. The reversal of 40222244413998 is 89931444222204.

40222244413998 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 2 + 244 + 4 + 1 + 399 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40222244413991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2076191440 + ... + 2076210812.

It is an arithmetic number, because the mean of its divisors is an integer number (742589920800).

Almost surely, 240222244413998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40222244413998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47525754931200).

40222244413998 is an abundant number, since it is smaller than the sum of its proper divisors (54829265448402).

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

40222244413998 is a wasteful number, since it uses less digits than its factorization.

40222244413998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29103 (or 29097 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 40222244413998 in words is "forty trillion, two hundred twenty-two billion, two hundred forty-four million, four hundred thirteen thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 239 306 459 478 717 918 1434 2151 4063 4302 6453 8126 9463 12189 12906 18926 19373 24378 28389 36567 38746 56778 58119 73134 85167 109701 116238 160871 170334 174357 219402 255501 321742 329341 348714 482613 511002 523071 658682 965226 988023 1046142 1447839 1976046 2261657 2895678 2964069 4343517 4523314 4630147 5928138 6784971 8687034 8892207 9260294 13569942 13890441 17784414 20354913 27780882 38448169 40709826 41671323 61064739 76896338 78712499 83342646 115344507 122129478 125013969 157424998 183326699 230689014 236137497 250027938 346033521 366653398 472274994 549980097 692067042 708412491 1038100563 1099960194 1416824982 1649940291 2076201126 2125237473 3116553883 3299880582 4250474946 4949820873 6233107766 9349661649 9899641746 18699323298 28048984947 43815081061 56097969894 84146954841 87630162122 131445243183 168293909682 262890486366 394335729549 744856378037 788671459098 1183007188647 1489712756074 2234569134111 2366014377294 4469138268222 6703707402333 13407414804666 20111122206999 40222244413998