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144534005511440 = 2451806675068893
BaseRepresentation
bin100000110111001111110010…
…000011100111010100010000
3200221202022112100111220212112
4200313033302003213110100
5122421021120402331230
61231222001104244452
742305144252200406
oct4067176203472420
9627668470456775
10144534005511440
1142064589132376
12142637aa010728
1362856628201ac
1427996a9c45476
1511a99db6b6d95
hex8373f20e7510

144534005511440 has 20 divisors (see below), whose sum is σ = 336041562814284. Its totient is φ = 57813602204544.

The previous prime is 144534005511403. The next prime is 144534005511463. The reversal of 144534005511440 is 44115500435441.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 75065381184784 + 69468624326656 = 8664028^2 + 8334784^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 903337534367 + ... + 903337534526.

Almost surely, 2144534005511440 is an apocalyptic number.

144534005511440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144534005511440 is an abundant number, since it is smaller than the sum of its proper divisors (191507557302844).

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

144534005511440 is a wasteful number, since it uses less digits than its factorization.

144534005511440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806675068906 (or 1806675068900 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 41.

Adding to 144534005511440 its reverse (44115500435441), we get a palindrome (188649505946881).

The spelling of 144534005511440 in words is "one hundred forty-four trillion, five hundred thirty-four billion, five million, five hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1806675068893 3613350137786 7226700275572 9033375344465 14453400551144 18066750688930 28906801102288 36133501377860 72267002755720 144534005511440