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321214144231442 = 2711472391601115981
BaseRepresentation
bin100100100001001000111111…
…0111101101011100000010010
31120010022202211222222121102002
41021002101332331223200102
5314100233031410401232
63055055423554554002
7124441645636266260
oct11102217675534022
91503282758877362
10321214144231442
1193392176424020
1230039552b98902
1310a30496441767
145946bc18bb430
1527207b5003b62
hex124247ef6b812

321214144231442 has 128 divisors (see below), whose sum is σ = 616450305392640. Its totient is φ = 121895907840000.

The previous prime is 321214144231433. The next prime is 321214144231471. The reversal of 321214144231442 is 244132441412123.

It is a super-2 number, since 2×3212141442314422 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321214144231396 and 321214144231405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2769483092 + ... + 2769599072.

It is an arithmetic number, because the mean of its divisors is an integer number (4816018010880).

Almost surely, 2321214144231442 is an apocalyptic number.

321214144231442 is a deficient number, since it is larger than the sum of its proper divisors (295236161161198).

321214144231442 is a wasteful number, since it uses less digits than its factorization.

321214144231442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117888.

The product of its digits is 147456, while the sum is 38.

Adding to 321214144231442 its reverse (244132441412123), we get a palindrome (565346585643565).

The spelling of 321214144231442 in words is "three hundred twenty-one trillion, two hundred fourteen billion, one hundred forty-four million, two hundred thirty-one thousand, four hundred forty-two".

Divisors: 1 2 7 11 14 22 47 77 94 154 239 329 478 517 658 1034 1601 1673 2629 3202 3346 3619 5258 7238 11207 11233 17611 18403 22414 22466 35222 36806 75247 78631 115981 123277 123563 150494 157262 231962 246554 247126 382639 526729 765278 811867 827717 864941 1053458 1275791 1623734 1655434 1729882 2551582 2678473 4209029 5356946 5451107 5794019 8418058 8930537 10902214 11588038 17861074 17984033 27719459 29463203 35968066 38157749 55438918 58926406 59962177 76315498 119924354 125888231 185685581 194036213 197824363 251776462 304914049 371371162 388072426 395648726 419735239 609828098 839470478 1299799067 1302814573 1384770541 2042541391 2134398343 2599598134 2605629146 2769541082 4085082782 4268796686 8727222307 9119702011 14297789737 14330960303 17454444614 18239404022 28595579474 28661920606 44378853859 61090556149 88757707718 95999445377 100316722121 122181112298 191998890754 200633444242 310651977013 488167392449 621303954026 671996117639 976334784898 1343992235278 2085806131373 3417171747143 4171612262746 6834343494286 14600642919611 22943867445103 29201285839222 45887734890206 160607072115721 321214144231442