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317160161444 = 227219243104243
BaseRepresentation
bin1001001110110000011…
…10000000000010100100
31010022122102210112212002
410213120032000002210
520144021000131234
6401411254544432
731625344614500
oct4473016000244
91108572715762
10317160161444
11112563708605
1251574368118
1323ba606b0a9
14114ca1d3300
1583b3e7127e
hex49d83800a4

317160161444 has 108 divisors (see below), whose sum is σ = 697271019984. Its totient is φ = 125775895392.

The previous prime is 317160161443. The next prime is 317160161489. The reversal of 317160161444 is 444161061713.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 317160161398 and 317160161407.

It is not an unprimeable number, because it can be changed into a prime (317160161443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2990387 + ... + 3094629.

It is an arithmetic number, because the mean of its divisors is an integer number (6456213148).

Almost surely, 2317160161444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 317160161444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348635509992).

317160161444 is an abundant number, since it is smaller than the sum of its proper divisors (380110858540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

317160161444 is a wasteful number, since it uses less digits than its factorization.

317160161444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104342 (or 104314 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 317160161444 in words is "three hundred seventeen billion, one hundred sixty million, one hundred sixty-one thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 43 49 76 86 98 133 172 196 266 301 361 532 602 722 817 931 1204 1444 1634 1862 2107 2527 3268 3724 4214 5054 5719 8428 10108 11438 15523 17689 22876 31046 35378 40033 62092 70756 80066 104243 108661 160132 208486 217322 416972 434644 729701 760627 1459402 1521254 1980617 2918804 3042508 3961234 4482449 5107907 7922468 8964898 10215814 13864319 17929796 20431628 27728638 31377143 37631723 55457276 62754286 75263446 85166531 97050233 125508572 150526892 170333062 194100466 219640001 263422061 340666124 388200932 439280002 526844122 596165717 878560004 1053688244 1192331434 1618164089 1843954427 2384662868 3236328178 3687908854 4173160019 6472656356 7375817708 8346320038 11327148623 16692640076 22654297246 45308594492 79290040361 158580080722 317160161444