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312244122344 = 237111961437351
BaseRepresentation
bin1001000101100110011…
…00110011001011101000
31002211221211101212222212
410202303030303023220
520103433443403334
6355235403104252
731362462151130
oct4426314631350
91084854355885
10312244122344
11110470737680
1250621b12088
13235a172870b
1411181349ac0
1581c75a1ece
hex48b33332e8

312244122344 has 128 divisors (see below), whose sum is σ = 780935731200. Its totient is φ = 113361120000.

The previous prime is 312244122343. The next prime is 312244122383. The reversal of 312244122344 is 443221442213.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 312244122344.

It is not an unprimeable number, because it can be changed into a prime (312244122343) 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, 495269 + ... + 932619.

It is an arithmetic number, because the mean of its divisors is an integer number (6101060400).

Almost surely, 2312244122344 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 312244122344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390467865600).

312244122344 is an abundant number, since it is smaller than the sum of its proper divisors (468691608856).

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

312244122344 is a wasteful number, since it uses less digits than its factorization.

312244122344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437455 (or 437451 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

Adding to 312244122344 its reverse (443221442213), we get a palindrome (755465564557).

The spelling of 312244122344 in words is "three hundred twelve billion, two hundred forty-four million, one hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 61 76 77 88 122 133 152 154 209 244 266 308 418 427 488 532 616 671 836 854 1064 1159 1342 1463 1672 1708 2318 2684 2926 3416 4636 4697 5368 5852 8113 9272 9394 11704 12749 16226 18788 25498 32452 37576 50996 64904 89243 101992 178486 356972 437351 713944 874702 1749404 3061457 3498808 4810861 6122914 8309669 9621722 12245828 16619338 19243444 24491656 26678411 33238676 33676027 38486888 53356822 58167683 66477352 67352054 91406359 106713644 116335366 134704108 182812718 186748877 213427288 232670732 269408216 293462521 365625436 373497754 465341464 506889809 586925042 639844513 731250872 746995508 1013779618 1173850084 1279689026 1493991016 2027559236 2054237647 2347700168 2559378052 3548228663 4055118472 4108475294 5118756104 5575787899 7096457326 8216950588 11151575798 14192914652 16433901176 22303151596 28385829304 39030515293 44606303192 78061030586 156122061172 312244122344