Search a number
-
+
1377442565145 = 325593171636627
BaseRepresentation
bin10100000010110101111…
…110011000110000011001
311212200102100012101010200
4110002311332120300121
5140032000244041040
62532442142332413
7201342211422603
oct24026576306031
94780370171120
101377442565145
11491196466649
121a2b5a88a109
139cb7a44059a
144a950802173
1525c6cb20630
hex140b5f98c19

1377442565145 has 48 divisors (see below), whose sum is σ = 2435695254720. Its totient is φ = 719905951872.

The previous prime is 1377442565053. The next prime is 1377442565153. The reversal of 1377442565145 is 5415652447731.

1377442565145 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 442 + 56 + 5 + 145 = 666.

It is not a de Polignac number, because 1377442565145 - 223 = 1377434176537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1377442565091 and 1377442565100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23322 + ... + 1659948.

It is an arithmetic number, because the mean of its divisors is an integer number (50743651140).

Almost surely, 21377442565145 is an apocalyptic number.

1377442565145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1377442565145 is a deficient number, since it is larger than the sum of its proper divisors (1058252689575).

1377442565145 is a wasteful number, since it uses less digits than its factorization.

1377442565145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637014 (or 1637011 counting only the distinct ones).

The product of its digits is 14112000, while the sum is 54.

The spelling of 1377442565145 in words is "one trillion, three hundred seventy-seven billion, four hundred forty-two million, five hundred sixty-five thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 59 177 295 317 531 885 951 1585 2655 2853 4755 14265 18703 56109 93515 168327 280545 841635 1636627 4909881 8183135 14729643 24549405 73648215 96560993 289682979 482804965 518810759 869048937 1448414895 1556432277 2594053795 4345244685 4669296831 7782161385 23346484155 30609834781 91829504343 153049173905 275488513029 459147521715 1377442565145