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22344042400032 = 2531743318400057
BaseRepresentation
bin1010001010010011000001…
…01101011100100100100000
32221010001212201210010020010
411011021200231130210200
510412041044323300112
6115304413353444520
74464206125462053
oct505114055344440
987101781703203
1022344042400032
117135067477131
12260a512710740
13c6105a074a32
1457365924aa9a
1528b346d5763c
hex145260b5c920

22344042400032 has 96 divisors (see below), whose sum is σ = 63547557175872. Its totient is φ = 6846874804224.

The previous prime is 22344042400007. The next prime is 22344042400051. The reversal of 22344042400032 is 23000424044322.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159129853 + ... + 159270204.

It is an arithmetic number, because the mean of its divisors is an integer number (661953720582).

Almost surely, 222344042400032 is an apocalyptic number.

It is an amenable number.

22344042400032 is an abundant number, since it is smaller than the sum of its proper divisors (41203514775840).

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

22344042400032 is a wasteful number, since it uses less digits than its factorization.

22344042400032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318400130 (or 318400122 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 22344042400032 its reverse (23000424044322), we get a palindrome (45344466444354).

The spelling of 22344042400032 in words is "twenty-two trillion, three hundred forty-four billion, forty-two million, four hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 43 48 51 68 86 96 102 129 136 172 204 258 272 344 408 516 544 688 731 816 1032 1376 1462 1632 2064 2193 2924 4128 4386 5848 8772 11696 17544 23392 35088 70176 318400057 636800114 955200171 1273600228 1910400342 2547200456 3820800684 5094400912 5412800969 7641601368 10188801824 10825601938 13691202451 15283202736 16238402907 21651203876 27382404902 30566405472 32476805814 41073607353 43302407752 54764809804 64953611628 82147214706 86604815504 109529619608 129907223256 164294429412 173209631008 219059239216 232750441667 259814446512 328588858824 438118478432 465500883334 519628893024 657177717648 698251325001 931001766668 1314355435296 1396502650002 1862003533336 2793005300004 3724007066672 5586010600008 7448014133344 11172021200016 22344042400032