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44444448888888 = 23347239464935461
BaseRepresentation
bin10100001101100000001111…
…00101101001100000111000
312211100211220001121120222110
422012300013211221200320
521311134212403421023
6234305255320252320
712235001606216166
oct1206600745514070
9184324801546873
1044444448888888
111318586a808154
124b997700110a0
131ba512a6a34c9
14ad91a0d8c236
1552117e94ba93
hex286c07969838

44444448888888 has 128 divisors (see below), whose sum is σ = 113977704960000. Its totient is φ = 14435426718720.

The previous prime is 44444448888887. The next prime is 44444448888899. The reversal of 44444448888888 is 88888884444444.

It is a Cunningham number, because it is equal to 66666672-1.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 44444448888888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44444448888887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1253315478 + ... + 1253350938.

It is an arithmetic number, because the mean of its divisors is an integer number (890450820000).

Almost surely, 244444448888888 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 44444448888888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56988852480000).

44444448888888 is an abundant number, since it is smaller than the sum of its proper divisors (69533256071112).

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

44444448888888 is a wasteful number, since it uses less digits than its factorization.

44444448888888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40405 (or 40401 counting only the distinct ones).

The product of its digits is 34359738368, while the sum is 84.

Subtracting 44444448888888 from its reverse (88888884444444), we obtain a square (44444435555556 = 66666662).

The spelling of 44444448888888 in words is "forty-four trillion, four hundred forty-four billion, four hundred forty-eight million, eight hundred eighty-eight thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 239 282 376 478 564 717 956 1128 1434 1912 2868 4649 5736 9298 11233 13947 18596 22466 27894 33699 35461 37192 44932 55788 67398 70922 89864 106383 111576 134796 141844 212766 218503 269592 283688 425532 437006 655509 851064 874012 1111111 1311018 1666667 1748024 2222222 2622036 3333333 3333334 4444444 5000001 5244072 6666666 6666668 8475179 8888888 10000002 13333332 13333336 16950358 20000004 25425537 26666664 33900716 40000008 50851074 52222217 67801432 101702148 104444434 156666651 164858189 203404296 208888868 313333302 329716378 398333413 417777736 494574567 626666604 659432756 796666826 989149134 1195000239 1253333208 1318865512 1593333652 1978298268 2390000478 3186667304 3956596536 4780000956 7748334883 9560001912 15496669766 23245004649 30993339532 39401107171 46490009298 61986679064 78802214342 92980018596 118203321513 157604428684 185960037192 236406643026 315208857368 472813286052 945626572104 1851852037037 3703704074074 5555556111111 7407408148148 11111112222222 14814816296296 22222224444444 44444448888888