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1332005144144 = 246110113512469
BaseRepresentation
bin10011011000100001101…
…100011000011001010000
311201100010201200020021012
4103120201230120121100
5133310421304103034
62455525324550052
7165143220625463
oct23304154303120
94640121606235
101332005144144
1147399a1a6744
121961999b2328
13987b8a1815c
144868002b2da
15249adacacce
hex13621b18650

1332005144144 has 40 divisors (see below), whose sum is σ = 2649038668680. Its totient is φ = 648598464000.

The previous prime is 1332005144137. The next prime is 1332005144161. The reversal of 1332005144144 is 4414415002331.

It can be written as a sum of positive squares in 4 ways, for example, as 316840000 + 1331688304144 = 17800^2 + 1153988^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1332005144144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6657659 + ... + 6854810.

It is an arithmetic number, because the mean of its divisors is an integer number (66225966717).

Almost surely, 21332005144144 is an apocalyptic number.

It is an amenable number.

1332005144144 is a deficient number, since it is larger than the sum of its proper divisors (1317033524536).

1332005144144 is a wasteful number, since it uses less digits than its factorization.

1332005144144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13512639 (or 13512633 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 1332005144144 in words is "one trillion, three hundred thirty-two billion, five million, one hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 61 101 122 202 244 404 488 808 976 1616 6161 12322 24644 49288 98576 13512469 27024938 54049876 108099752 216199504 824260609 1364759369 1648521218 2729518738 3297042436 5459037476 6594084872 10918074952 13188169744 21836149904 83250321509 166500643018 333001286036 666002572072 1332005144144