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1304135630141 = 41292710867163
BaseRepresentation
bin10010111110100100100…
…010100111110100111101
311121200012110021020020212
4102332210202213310331
5132331332210131031
62435040040322205
7163135460645201
oct22764442476475
94550173236225
101304135630141
11463098623343
12190900473365
1395c96b56176
1447198926b01
1523dcc03c12b
hex12fa48a7d3d

1304135630141 has 8 divisors (see below), whose sum is σ = 1336400360064. Its totient is φ = 1271892640480.

The previous prime is 1304135630137. The next prime is 1304135630143. The reversal of 1304135630141 is 1410365314031.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1304135630141 - 22 = 1304135630137 is a prime.

It is a super-3 number, since 3×13041356301413 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1304135630098 and 1304135630107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304135630143) 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 7 ways as a sum of consecutive naturals, for example, 5313575 + ... + 5553588.

It is an arithmetic number, because the mean of its divisors is an integer number (167050045008).

Almost surely, 21304135630141 is an apocalyptic number.

It is an amenable number.

1304135630141 is a deficient number, since it is larger than the sum of its proper divisors (32264729923).

1304135630141 is a wasteful number, since it uses less digits than its factorization.

1304135630141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10870131.

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 1304135630141 in words is "one trillion, three hundred four billion, one hundred thirty-five million, six hundred thirty thousand, one hundred forty-one".

Divisors: 1 41 2927 120007 10867163 445553683 31808186101 1304135630141