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44114333341144 = 23114127145117383
BaseRepresentation
bin10100000011111001010110…
…01010110001010111011000
312210012021210201222020011011
422001330223022301113120
521240232123313404034
6233453502302343304
712202104206316013
oct1201745312612730
9183167721866134
1044114333341144
1113068869127120
124b457a0b8ab34
131b7cc6b584281
14ac720632437a
155177ad43c864
hex281f2b2b15d8

44114333341144 has 64 divisors (see below), whose sum is σ = 92775779066880. Its totient is φ = 19490709024000.

The previous prime is 44114333341129. The next prime is 44114333341147.

44114333341144 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×441143333411442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44114333341097 and 44114333341106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44114333341147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21580924 + ... + 23536459.

It is an arithmetic number, because the mean of its divisors is an integer number (1449621547920).

Almost surely, 244114333341144 is an apocalyptic number.

44114333341144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44114333341144 is an abundant number, since it is smaller than the sum of its proper divisors (48661445725736).

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

44114333341144 is a wasteful number, since it uses less digits than its factorization.

44114333341144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45117712 (or 45117708 counting only the distinct ones).

The product of its digits is 331776, while the sum is 40.

It can be divided in two parts, 4411433 and 3341144, that added together give a palindrome (7752577).

The spelling of 44114333341144 in words is "forty-four trillion, one hundred fourteen billion, three hundred thirty-three million, three hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 41 44 82 88 164 271 328 451 542 902 1084 1804 2168 2981 3608 5962 11111 11924 22222 23848 44444 88888 122221 244442 488884 977768 45117383 90234766 180469532 360939064 496291213 992582426 1849812703 1985164852 3699625406 3970329704 7399250812 12226810793 14798501624 20347939733 24453621586 40695879466 48907243172 81391758932 97814486344 134494918723 162783517864 268989837446 501299242513 537979674892 1002598485026 1075959349784 2005196970052 4010393940104 5514291667643 11028583335286 22057166670572 44114333341144