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1305400400145 = 32529008897781
BaseRepresentation
bin10010111111101111111…
…011010101100100010001
311121210110121011012112100
4102333233323111210101
5132341430000301040
62435405340551013
7163212016215252
oct22775773254421
94553417135470
101305400400145
11463687548806
12190bb3b52469
1396138ba779a
14472788b6b29
1523e530bdb30
hex12fefed5911

1305400400145 has 12 divisors (see below), whose sum is σ = 2262694026996. Its totient is φ = 696213546720.

The previous prime is 1305400400089. The next prime is 1305400400147. The reversal of 1305400400145 is 5410040045031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 701051194944 + 604349205201 = 837288^2 + 777399^2 .

It is not a de Polignac number, because 1305400400145 - 26 = 1305400400081 is a prime.

It is a super-2 number, since 2×13054004001452 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1305400400147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14504448846 + ... + 14504448935.

It is an arithmetic number, because the mean of its divisors is an integer number (188557835583).

Almost surely, 21305400400145 is an apocalyptic number.

1305400400145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1305400400145 is a deficient number, since it is larger than the sum of its proper divisors (957293626851).

1305400400145 is a wasteful number, since it uses less digits than its factorization.

1305400400145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29008897792 (or 29008897789 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 1305400400145 its reverse (5410040045031), we get a palindrome (6715440445176).

The spelling of 1305400400145 in words is "one trillion, three hundred five billion, four hundred million, four hundred thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 29008897781 87026693343 145044488905 261080080029 435133466715 1305400400145