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1321415334045 = 325159521184081
BaseRepresentation
bin10011001110101010011…
…111011101100010011101
311200022210201002010210100
4103032222133131202131
5133122224311142140
62451014432331313
7164316622004532
oct23165237354235
94608721063710
101321415334045
1146a455563674
121941233a3b39
13977bba8c231
1447d57814d89
152458e064530
hex133aa7dd89d

1321415334045 has 24 divisors (see below), whose sum is σ = 2290480046712. Its totient is φ = 704746598400.

The previous prime is 1321415334011. The next prime is 1321415334067. The reversal of 1321415334045 is 5404335141231.

1321415334045 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 41 + 533 + 40 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62039850084 + 1259375483961 = 249078^2 + 1122219^2 .

It is not a de Polignac number, because 1321415334045 - 29 = 1321415333533 is a prime.

It is a super-2 number, since 2×13214153340452 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7086405 + ... + 7270485.

It is an arithmetic number, because the mean of its divisors is an integer number (95436668613).

Almost surely, 21321415334045 is an apocalyptic number.

1321415334045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1321415334045 is a deficient number, since it is larger than the sum of its proper divisors (969064712667).

1321415334045 is a wasteful number, since it uses less digits than its factorization.

1321415334045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343613 (or 343610 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 1321415334045 in words is "one trillion, three hundred twenty-one billion, four hundred fifteen million, three hundred thirty-four thousand, forty-five".

Divisors: 1 3 5 9 15 45 159521 184081 478563 552243 797605 920405 1435689 1656729 2392815 2761215 7178445 8283645 29364785201 88094355603 146823926005 264283066809 440471778015 1321415334045