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321422424444 = 22321110743317519
BaseRepresentation
bin1001010110101100100…
…01001111100101111100
31010201122110222221111200
410223112101033211330
520231233120040234
6403354234015500
732136101346312
oct4532621174574
91121573887450
10321422424444
11114350640910
1252363877590
1324405106ac4
14117b22d60b2
15856324dd99
hex4ad644f97c

321422424444 has 144 divisors (see below), whose sum is σ = 896747604480. Its totient is φ = 96262110720.

The previous prime is 321422424443. The next prime is 321422424469. The reversal of 321422424444 is 444424224123.

321422424444 is a `hidden beast` number, since 32 + 142 + 2 + 42 + 4 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 321422424399 and 321422424408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321422424443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18338317 + ... + 18355835.

It is an arithmetic number, because the mean of its divisors is an integer number (6227413920).

Almost surely, 2321422424444 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 321422424444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448373802240).

321422424444 is an abundant number, since it is smaller than the sum of its proper divisors (575325180036).

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

321422424444 is a wasteful number, since it uses less digits than its factorization.

321422424444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18080 (or 18075 counting only the distinct ones).

The product of its digits is 196608, while the sum is 36.

Adding to 321422424444 its reverse (444424224123), we get a palindrome (765846648567).

The spelling of 321422424444 in words is "three hundred twenty-one billion, four hundred twenty-two million, four hundred twenty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 107 132 198 214 321 396 428 433 642 866 963 1177 1284 1299 1732 1926 2354 2598 3531 3852 3897 4708 4763 5196 7062 7794 9526 10593 14124 14289 15588 17519 19052 21186 28578 35038 42372 42867 46331 52557 57156 70076 85734 92662 105114 138993 157671 171468 185324 192709 210228 277986 315342 385418 416979 509641 555972 578127 630684 770836 833958 1019282 1156254 1528923 1667916 1734381 1874533 2038564 2312508 3057846 3468762 3749066 4586769 5623599 6115692 6937524 7498132 7585727 9173538 11247198 15171454 16870797 18347076 20619863 22494396 22757181 30342908 33741594 41239726 45514362 61859589 67483188 68271543 82479452 83442997 91028724 123719178 136543086 166885994 185578767 247438356 250328991 273086172 333771988 371157534 500657982 742315068 750986973 811672789 1001315964 1501973946 1623345578 2435018367 3003947892 3246691156 4870036734 7305055101 8928400679 9740073468 14610110202 17856801358 26785202037 29220220404 35713602716 53570404074 80355606111 107140808148 160711212222 321422424444