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155313315441 = 32170331013153
BaseRepresentation
bin1001000010100101100…
…1010001111001110001
3112211220001101220102100
42100221121101321301
510021040202043231
6155203331211013
714135544253554
oct2205131217161
9484801356370
10155313315441
115a960354739
1226126146a69
13118522bb7ab
1477352d069b
1540902c51e6
hex2429651e71

155313315441 has 12 divisors (see below), whose sum is σ = 224354848068. Its totient is φ = 103536029184.

The previous prime is 155313315439. The next prime is 155313315457. The reversal of 155313315441 is 144513313551.

155313315441 is a `hidden beast` number, since 1 + 5 + 531 + 3 + 31 + 54 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60563241216 + 94750074225 = 246096^2 + 307815^2 .

It is not a de Polignac number, because 155313315441 - 21 = 155313315439 is a prime.

It is a super-3 number, since 3×1553133154413 (a number of 35 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 155313315396 and 155313315405.

It is not an unprimeable number, because it can be changed into a prime (155313316441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 353280 + ... + 659873.

It is an arithmetic number, because the mean of its divisors is an integer number (18696237339).

Almost surely, 2155313315441 is an apocalyptic number.

It is an amenable number.

155313315441 is a deficient number, since it is larger than the sum of its proper divisors (69041532627).

155313315441 is a wasteful number, since it uses less digits than its factorization.

155313315441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030192 (or 1030189 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

Adding to 155313315441 its reverse (144513313551), we get a palindrome (299826628992).

The spelling of 155313315441 in words is "one hundred fifty-five billion, three hundred thirteen million, three hundred fifteen thousand, four hundred forty-one".

Divisors: 1 3 9 17033 51099 153297 1013153 3039459 9118377 17257035049 51771105147 155313315441