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317145714288 = 243138912834451
BaseRepresentation
bin1001001110101110101…
…10111000111001110000
31010022121102121120002020
410213113112320321300
520144003300324123
6401410021151440
731625111043504
oct4472726707160
91108542546066
10317145714288
11112556540207
125156b55b580
1323ba3080290
14114c8312304
1583b2a6a7e3
hex49d75b8e70

317145714288 has 160 divisors (see below), whose sum is σ = 893125336320. Its totient is φ = 96389990400.

The previous prime is 317145714287. The next prime is 317145714289. The reversal of 317145714288 is 882417541713.

It is an interprime number because it is at equal distance from previous prime (317145714287) and next prime (317145714289).

It is a self number, because there is not a number n which added to its sum of digits gives 317145714288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317145714287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71250463 + ... + 71254913.

It is an arithmetic number, because the mean of its divisors is an integer number (5582033352).

Almost surely, 2317145714288 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 317145714288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446562668160).

317145714288 is an abundant number, since it is smaller than the sum of its proper divisors (575979622032).

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

317145714288 is a wasteful number, since it uses less digits than its factorization.

317145714288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5847 (or 5841 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 51.

The spelling of 317145714288 in words is "three hundred seventeen billion, one hundred forty-five million, seven hundred fourteen thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 89 104 156 178 208 267 312 356 534 624 712 1068 1157 1283 1424 2136 2314 2566 3471 3849 4272 4451 4628 5132 6942 7698 8902 9256 10264 13353 13884 15396 16679 17804 18512 20528 26706 27768 30792 33358 35608 50037 53412 55536 57863 61584 66716 71216 100074 106824 114187 115726 133432 173589 200148 213648 228374 231452 266864 342561 347178 396139 400296 456748 462904 685122 694356 792278 800592 913496 925808 1188417 1370244 1388712 1484431 1584556 1826992 2376834 2740488 2777424 2968862 3169112 4453293 4753668 5149807 5480976 5710633 5937724 6338224 8906586 9507336 10299614 11421266 11875448 15449421 17131899 17813172 19014672 20599228 22842532 23750896 30898842 34263798 35626344 41198456 45685064 61797684 68527596 71252688 74238229 82396912 91370128 123595368 137055192 148476458 222714687 247190736 274110384 296952916 445429374 508246337 593905832 890858748 1016492674 1187811664 1524739011 1781717496 2032985348 3049478022 3563434992 4065970696 6098956044 6607202381 8131941392 12197912088 13214404762 19821607143 24395824176 26428809524 39643214286 52857619048 79286428572 105715238096 158572857144 317145714288