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316055347344 = 243211242592
BaseRepresentation
bin1001001100101100101…
…11011110000010010000
31010012210102220011211100
410212112113132002100
520134240132103334
6401105510544400
731556101061232
oct4462627360220
91105712804740
10316055347344
11112047005400
1251306368100
1323a5b1c3139
14114235a0252
15834be88c99
hex49965de090

316055347344 has 135 divisors (see below), whose sum is σ = 972464934259. Its totient is φ = 95751860160.

The previous prime is 316055347331. The next prime is 316055347379. The reversal of 316055347344 is 443743550613.

The square root of 316055347344 is 562188.

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

316055347344 is a `hidden beast` number, since 3 + 1 + 6 + 0 + 5 + 534 + 73 + 44 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 316055347344.

It is an unprimeable number.

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, 74206687 + ... + 74210945.

Almost surely, 2316055347344 is an apocalyptic number.

316055347344 is the 562188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316055347344

316055347344 is an abundant number, since it is smaller than the sum of its proper divisors (656409586915).

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

316055347344 is an equidigital number, since it uses as much as digits as its factorization.

316055347344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8554 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

Adding to 316055347344 its reverse (443743550613), we get a palindrome (759798897957).

The spelling of 316055347344 in words is "three hundred sixteen billion, fifty-five million, three hundred forty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4259 4356 5808 8518 8712 12777 17036 17424 25554 34072 38331 46849 51108 68144 76662 93698 102216 140547 153324 187396 204432 281094 306648 374792 421641 515339 562188 613296 749584 843282 1030678 1124376 1546017 1686564 2061356 2248752 3092034 3373128 4122712 4638051 6184068 6746256 8245424 9276102 12368136 18139081 18552204 24736272 36278162 37104408 54417243 72556324 74208816 108834486 145112648 163251729 199529891 217668972 290225296 326503458 399059782 435337944 598589673 653006916 798119564 870675888 1197179346 1306013832 1596239128 1795769019 2194828801 2394358692 2612027664 3192478256 3591538038 4389657602 4788717384 6584486403 7183076076 8779315204 9577434768 13168972806 14366152152 17558630408 19753459209 26337945612 28732304304 35117260816 39506918418 52675891224 79013836836 105351782448 158027673672 316055347344