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402442323220 = 225741202734589
BaseRepresentation
bin1011101101100110110…
…11101000010100010100
31102110202220020020121101
411312303123220110110
523043200213320340
6504513543355444
741034616206610
oct5666333502424
91373686206541
10402442323220
11145747221a43
1265bb5152b84
132bc47625102
141569a6bc340
15a70602ec9a
hex5db36e8514

402442323220 has 96 divisors (see below), whose sum is σ = 989935914240. Its totient is φ = 134544552960.

The previous prime is 402442323209. The next prime is 402442323221. The reversal of 402442323220 is 22323244204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402442323221) 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, 11617686 + ... + 11652274.

It is an arithmetic number, because the mean of its divisors is an integer number (10311832440).

Almost surely, 2402442323220 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 402442323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494967957120).

402442323220 is an abundant number, since it is smaller than the sum of its proper divisors (587493591020).

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

402442323220 is a wasteful number, since it uses less digits than its factorization.

402442323220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36673 (or 36671 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 402442323220 its reverse (22323244204), we get a palindrome (424765567424).

The spelling of 402442323220 in words is "four hundred two billion, four hundred forty-two million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 2027 2870 4054 5740 8108 10135 14189 20270 28378 34589 40540 56756 69178 70945 83107 138356 141890 166214 172945 242123 283780 332428 345890 415535 484246 581749 691780 831070 968492 1163498 1210615 1418149 1662140 2326996 2421230 2836298 2908745 4842460 5672596 5817490 7090745 9927043 11634980 14181490 19854086 28362980 39708172 49635215 70111903 99270430 140223806 198540860 280447612 350559515 490783321 701119030 981566642 1402238060 1963133284 2453916605 2874588023 4907833210 5749176046 9815666420 11498352092 14372940115 20122116161 28745880230 40244232322 57491760460 80488464644 100610580805 201221161610 402442323220