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317274341304448 = 27119712311887133
BaseRepresentation
bin100100000100011110011000…
…0011010001110100010000000
31112121101010112100201001120101
41020020330300122032202000
5313041210322333220243
63042441453101052144
7123554212643044543
oct11010746032164200
91477333470631511
10317274341304448
1192103324383370
122b701a86b57054
1310805ac3b74168
14584c23529085a
1526a3078c2854d
hex1208f3068e880

317274341304448 has 128 divisors (see below), whose sum is σ = 697205732509440. Its totient is φ = 142612829798400.

The previous prime is 317274341304433. The next prime is 317274341304451. The reversal of 317274341304448 is 844403143472713.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 167181490 + ... + 169068622.

It is an arithmetic number, because the mean of its divisors is an integer number (5446919785230).

Almost surely, 2317274341304448 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 317274341304448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348602866254720).

317274341304448 is an abundant number, since it is smaller than the sum of its proper divisors (379931391204992).

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

317274341304448 is a wasteful number, since it uses less digits than its factorization.

317274341304448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888486 (or 1888474 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 55.

The spelling of 317274341304448 in words is "three hundred seventeen trillion, two hundred seventy-four billion, three hundred forty-one million, three hundred four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 97 128 176 194 352 388 704 776 1067 1231 1408 1552 2134 2462 3104 4268 4924 6208 8536 9848 12416 13541 17072 19696 27082 34144 39392 54164 68288 78784 108328 119407 136576 157568 216656 238814 433312 477628 866624 955256 1313477 1733248 1887133 1910512 2626954 3774266 3821024 5253908 7548532 7642048 10507816 15097064 15284096 20758463 21015632 30194128 41516926 42031264 60388256 83033852 84062528 120776512 166067704 168125056 183051901 241553024 332135408 366103802 664270816 732207604 1328541632 1464415208 2013570911 2323060723 2657083264 2928830416 4027141822 4646121446 5857660832 8054283644 9292242892 11715321664 16108567288 18584485784 23430643328 25553667953 32217134576 37168971568 51107335906 64434269152 74337943136 102214671812 128868538304 148675886272 204429343624 225336890131 257737076608 297351772544 408858687248 450673780262 817717374496 901347560524 1635434748992 1802695121048 2478705791441 3270869497984 3605390242096 4957411582882 7210780484192 9914823165764 14421560968384 19829646331528 28843121936768 39659292663056 79318585326112 158637170652224 317274341304448