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317734015041 = 3869592
BaseRepresentation
bin1001001111110100110…
…11000101000001000001
31010101010102121100000000
410213322123011001001
520201204401440131
6401544234350213
731645513365162
oct4477233050101
91111112540000
10317734015041
11112828628283
12516b458b369
1323c67c10a31
14115424d1769
1583e9526ce6
hex49fa6c5041

317734015041 has 27 divisors (see below), whose sum is σ = 476645302081. Its totient is φ = 211792238028.

The previous prime is 317734015033. The next prime is 317734015069. The reversal of 317734015041 is 140510437713.

It is a happy number.

The square root of 317734015041 is 563679.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 317734015041 - 23 = 317734015033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 317734014987 and 317734015005.

It is not an unprimeable number, because it can be changed into a prime (317734015141) 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 26 ways as a sum of consecutive naturals, for example, 45654520 + ... + 45661478.

Almost surely, 2317734015041 is an apocalyptic number.

317734015041 is the 563679-th square number.

317734015041 is the 281840-th centered octagonal number.

It is an amenable number.

317734015041 is a deficient number, since it is larger than the sum of its proper divisors (158911287040).

317734015041 is an frugal number, since it uses more digits than its factorization.

317734015041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13942 (or 6962 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Multiplying 317734015041 by its sum of digits (36), we get a square (11438424541476 = 33820742).

The spelling of 317734015041 in words is "three hundred seventeen billion, seven hundred thirty-four million, fifteen thousand, forty-one".

Divisors: 1 3 9 27 81 243 729 2187 6561 6959 20877 62631 187893 563679 1691037 5073111 15219333 45657999 48427681 145283043 435849129 1307547387 3922642161 11767926483 35303779449 105911338347 317734015041