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324214204421432 = 2313173110395693411
BaseRepresentation
bin100100110110111110000000…
…0011111000101010100111000
31120111221120112100111212000002
41021231330000133011110320
5314443411142312441212
63105313541020332132
7125201463140201363
oct11155740037052470
91514846470455002
10324214204421432
1194339521170396
1230442a750a4048
1310bba364586c30
145a0c0a07a10da
15277384eb86ac2
hex126df007c5538

324214204421432 has 128 divisors (see below), whose sum is σ = 716222120140800. Its totient is φ = 136160860723200.

The previous prime is 324214204421407. The next prime is 324214204421453. The reversal of 324214204421432 is 234124402412423.

It is a super-2 number, since 2×3242142044214322 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 54098807 + ... + 59792217.

It is an arithmetic number, because the mean of its divisors is an integer number (5595485313600).

Almost surely, 2324214204421432 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 324214204421432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358111060070400).

324214204421432 is an abundant number, since it is smaller than the sum of its proper divisors (392007915719368).

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

324214204421432 is a wasteful number, since it uses less digits than its factorization.

324214204421432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5694517 (or 5694513 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 38.

Adding to 324214204421432 its reverse (234124402412423), we get a palindrome (558338606833855).

The spelling of 324214204421432 in words is "three hundred twenty-four trillion, two hundred fourteen billion, two hundred four million, four hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 17 26 31 34 52 62 68 104 124 136 221 248 403 442 527 806 884 1039 1054 1612 1768 2078 2108 3224 4156 4216 6851 8312 13507 13702 17663 27014 27404 32209 35326 54028 54808 64418 70652 108056 128836 141304 229619 257672 418717 459238 547553 837434 918476 1095106 1674868 1836952 2190212 3349736 4380424 5693411 7118189 11386822 14236378 22773644 28472756 45547288 56945512 74014343 96787987 148028686 176495741 193575974 296057372 352991482 387151948 592114744 705982964 774303896 1258243831 1411965928 2294444633 2516487662 3000427597 4588889266 5032975324 5915454029 6000855194 9177778532 10065950648 11830908058 12001710388 18355557064 23661816116 24003420776 39005558761 47323632232 76900902377 78011117522 100562718493 153801804754 156022235044 183379074899 201125436986 307603609508 312044470088 366758149798 402250873972 615207219016 733516299596 804501747944 1307315340409 1467032599192 2383927973687 2614630680818 3117444273283 4767855947374 5229261361636 6234888546566 9535711894748 10458522723272 12469777093132 19071423789496 24939554186264 40526775552679 81053551105358 162107102210716 324214204421432