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1324422000444 = 223192535997771
BaseRepresentation
bin10011010001011101101…
…100111110111100111100
311200121120020122121201010
4103101131230332330330
5133144404013003234
62452233035515220
7164454261154014
oct23213554767474
94617506577633
101324422000444
11470758767634
121948222b8b10
1397b7a968b8a
1448160c74c44
15246b7ec36e9
hex1345db3ef3c

1324422000444 has 144 divisors (see below), whose sum is σ = 3379422695040. Its totient is φ = 403388069760.

The previous prime is 1324422000403. The next prime is 1324422000469. The reversal of 1324422000444 is 4440002244231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13497279 + ... + 13595049.

It is an arithmetic number, because the mean of its divisors is an integer number (23468213160).

Almost surely, 21324422000444 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 1324422000444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689711347520).

1324422000444 is an abundant number, since it is smaller than the sum of its proper divisors (2055000694596).

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

1324422000444 is a wasteful number, since it uses less digits than its factorization.

1324422000444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97928 (or 97907 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 1324422000444 its reverse (4440002244231), we get a palindrome (5764424244675).

The spelling of 1324422000444 in words is "one trillion, three hundred twenty-four billion, four hundred twenty-two million, four hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 19 38 53 57 59 76 106 114 118 159 177 212 228 236 318 354 361 636 708 722 1007 1083 1121 1444 2014 2166 2242 3021 3127 3363 4028 4332 4484 6042 6254 6726 9381 12084 12508 13452 18762 19133 21299 37524 38266 42598 57399 59413 63897 76532 85196 97771 114798 118826 127794 178239 195542 229596 237652 255588 293313 356478 391084 586626 712956 1128847 1173252 1857649 2257694 3386541 3715298 4515388 5181863 5572947 5768489 6773082 7430596 10363726 11145894 11536978 13546164 15545589 17305467 20727452 22291788 23073956 31091178 34610934 35295331 62182356 69221868 70590662 98455397 105885993 109601291 141181324 196910794 211771986 219202582 295366191 305729917 328803873 393821588 423543972 438405164 590732382 611459834 657607746 917189751 1181464764 1222919668 1315215492 1834379502 1870652543 2082424529 3668759004 3741305086 4164849058 5611957629 5808868423 6247273587 7482610172 8329698116 11223915258 11617736846 12494547174 17426605269 22447830516 23235473692 24989094348 34853210538 69706421076 110368500037 220737000074 331105500111 441474000148 662211000222 1324422000444