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144534005511441 = 3713717456740727
BaseRepresentation
bin100000110111001111110010…
…000011100111010100010001
3200221202022112100111220212120
4200313033302003213110101
5122421021120402331231
61231222001104244453
742305144252200410
oct4067176203472421
9627668470456776
10144534005511441
1142064589132377
12142637aa010729
1362856628201b0
1427996a9c45477
1511a99db6b6d96
hex8373f20e7511

144534005511441 has 32 divisors (see below), whose sum is σ = 240524628922368. Its totient is φ = 75163946518080.

The previous prime is 144534005511403. The next prime is 144534005511463. The reversal of 144534005511441 is 144115500435441.

It is not a de Polignac number, because 144534005511441 - 29 = 144534005510929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144534005511393 and 144534005511402.

It is not an unprimeable number, because it can be changed into a prime (144534005511481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3728350981 + ... + 3728389746.

It is an arithmetic number, because the mean of its divisors is an integer number (7516394653824).

Almost surely, 2144534005511441 is an apocalyptic number.

It is an amenable number.

144534005511441 is a deficient number, since it is larger than the sum of its proper divisors (95990623410927).

144534005511441 is a wasteful number, since it uses less digits than its factorization.

144534005511441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7456740821.

The product of its (nonzero) digits is 384000, while the sum is 42.

Adding to 144534005511441 its reverse (144115500435441), we get a palindrome (288649505946882).

The spelling of 144534005511441 in words is "one hundred forty-four trillion, five hundred thirty-four billion, five million, five hundred eleven thousand, four hundred forty-one".

Divisors: 1 3 7 13 21 39 71 91 213 273 497 923 1491 2769 6461 19383 7456740727 22370222181 52197185089 96937629451 156591555267 290812888353 529428591617 678563406157 1588285774851 2035690218471 3706000141319 6882571691021 11118000423957 20647715073063 48178001837147 144534005511441