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24344040002044 = 22723734611123267
BaseRepresentation
bin1011000100100000010011…
…10110110101000111111100
310012012021020000010010202211
411202100021312311013330
511142323043220031134
6123435255251230204
75061541001551660
oct542201166650774
9105167200103684
1024344040002044
117836281a2a304
1228920558a8364
13107782cc79779
146023876748a0
152c339ea0e764
hex162409db51fc

24344040002044 has 96 divisors (see below), whose sum is σ = 51612672900096. Its totient is φ = 9821478458880.

The previous prime is 24344040002033. The next prime is 24344040002063. The reversal of 24344040002044 is 44020004044342.

It is a super-2 number, since 2×243440400020442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24344040001997 and 24344040002015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21110899 + ... + 22234165.

It is an arithmetic number, because the mean of its divisors is an integer number (537632009376).

Almost surely, 224344040002044 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 24344040002044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25806336450048).

24344040002044 is an abundant number, since it is smaller than the sum of its proper divisors (27268632898052).

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

24344040002044 is a wasteful number, since it uses less digits than its factorization.

24344040002044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123835 (or 1123833 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 31.

Adding to 24344040002044 its reverse (44020004044342), we get a palindrome (68364044046386).

The spelling of 24344040002044 in words is "twenty-four trillion, three hundred forty-four billion, forty million, two thousand, forty-four".

Divisors: 1 2 4 7 14 23 28 46 73 92 146 161 292 322 461 511 644 922 1022 1679 1844 2044 3227 3358 6454 6716 10603 11753 12908 21206 23506 33653 42412 47012 67306 74221 134612 148442 235571 296884 471142 774019 942284 1123267 1548038 2246534 3096076 4493068 5418133 7862869 10836266 15725738 21672532 25835141 31451476 51670282 81998491 103340564 163996982 180845987 327993964 361691974 517826087 573989437 723383948 1035652174 1147978874 1885965293 2071304348 2295957748 3624782609 3771930586 7249565218 7543861172 11910000001 13201757051 14499130436 23820000002 26403514102 37801304351 47640000004 52807028204 75602608702 83370000007 151205217404 166740000014 264609130457 333480000028 529218260914 869430000073 1058436521828 1738860000146 3477720000292 6086010000511 12172020001022 24344040002044