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1477443421441 = 134115601177677
BaseRepresentation
bin10101011111111110011…
…111011000010100000001
312020020112120110020000001
4111133332133120110001
5143201301003441231
63050421140000001
7211512265605601
oct25377637302401
95206476406001
101477443421441
1151a642327029
121ba408990001
13a942618c9c0
1451719a06c01
1528671e78b61
hex157fe7d8501

1477443421441 has 16 divisors (see below), whose sum is σ = 1630013707728. Its totient is φ = 1330437888000.

The previous prime is 1477443421429. The next prime is 1477443421453. The reversal of 1477443421441 is 1441243447741.

It is an interprime number because it is at equal distance from previous prime (1477443421429) and next prime (1477443421453).

It can be written as a sum of positive squares in 8 ways, for example, as 9044770816 + 1468398650625 = 95104^2 + 1211775^2 .

It is not a de Polignac number, because 1477443421441 - 213 = 1477443413249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1477443421391 and 1477443421400.

It is not an unprimeable number, because it can be changed into a prime (1477443424441) 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 15 ways as a sum of consecutive naturals, for example, 8226495 + ... + 8404171.

It is an arithmetic number, because the mean of its divisors is an integer number (101875856733).

Almost surely, 21477443421441 is an apocalyptic number.

It is an amenable number.

1477443421441 is a deficient number, since it is larger than the sum of its proper divisors (152570286287).

1477443421441 is a wasteful number, since it uses less digits than its factorization.

1477443421441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193332.

The product of its digits is 1204224, while the sum is 46.

It can be divided in two parts, 1477443 and 421441, that added together give a square (1898884 = 13782).

The spelling of 1477443421441 in words is "one trillion, four hundred seventy-seven billion, four hundred forty-three million, four hundred twenty-one thousand, four hundred forty-one".

Divisors: 1 13 41 533 15601 177677 202813 639641 2309801 7284757 8315333 94701841 2771938877 36035205401 113649493957 1477443421441