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144441255555405 = 32556914833803867
BaseRepresentation
bin100000110101111001011001…
…101110100111000101001101
3200221102110010110002222020200
4200311321121232213011031
5122413011142410233110
61231111221411004113
742265351651445334
oct4065713156470515
9627373113088220
10144441255555405
1142029213204646
1214249824299639
1362799a10730c3
142794dcba2cd1b
1511a73adbd86c0
hex835e59ba714d

144441255555405 has 48 divisors (see below), whose sum is σ = 250974037379520. Its totient is φ = 76848074544384.

The previous prime is 144441255555403. The next prime is 144441255555413. The reversal of 144441255555405 is 504555552144441.

It is a happy number.

144441255555405 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 41 + 2 + 5 + 5 + 55 + 540 + 5 = 666.

It is not a de Polignac number, because 144441255555405 - 21 = 144441255555403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144441255555403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36070282 + ... + 39874148.

It is an arithmetic number, because the mean of its divisors is an integer number (5228625778740).

Almost surely, 2144441255555405 is an apocalyptic number.

144441255555405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144441255555405 is a deficient number, since it is larger than the sum of its proper divisors (106532781824115).

144441255555405 is a wasteful number, since it uses less digits than its factorization.

144441255555405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805930 (or 3805927 counting only the distinct ones).

The product of its (nonzero) digits is 32000000, while the sum is 54.

The spelling of 144441255555405 in words is "one hundred forty-four trillion, four hundred forty-one billion, two hundred fifty-five million, five hundred fifty-five thousand, four hundred five".

Divisors: 1 3 5 9 15 45 569 1483 1707 2845 4449 5121 7415 8535 13347 22245 25605 66735 843827 2531481 3803867 4219135 7594443 11411601 12657405 19019335 34234803 37972215 57058005 171174015 2164400323 5641134761 6493200969 10822001615 16923404283 19479602907 28205673805 32466004845 50770212849 84617021415 97398014535 253851064245 3209805679009 9629417037027 16049028395045 28888251111081 48147085185135 144441255555405