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22141333444412 = 227131013347179939
BaseRepresentation
bin1010000100011001011100…
…10100001001011100111100
32220101200122121010020020002
411002030232110021130330
510400230422330210122
6115031331013213432
74443441612002210
oct502145624113474
986350577106202
1022141333444412
1170670a5562536
12259717b931278
13c47bc3754a50
14567909484940
15285e30b7e992
hex14232e50973c

22141333444412 has 96 divisors (see below), whose sum is σ = 48175851548160. Its totient is φ = 8669844691200.

The previous prime is 22141333444403. The next prime is 22141333444457. The reversal of 22141333444412 is 21444433314122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122959139 + ... + 123139077.

It is an arithmetic number, because the mean of its divisors is an integer number (501831786960).

Almost surely, 222141333444412 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 22141333444412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24087925774080).

22141333444412 is an abundant number, since it is smaller than the sum of its proper divisors (26034518103748).

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

22141333444412 is a wasteful number, since it uses less digits than its factorization.

22141333444412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183411 (or 183409 counting only the distinct ones).

The product of its digits is 221184, while the sum is 38.

Adding to 22141333444412 its reverse (21444433314122), we get a palindrome (43585766758534).

The spelling of 22141333444412 in words is "twenty-two trillion, one hundred forty-one billion, three hundred thirty-three million, four hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 101 182 202 364 404 707 1313 1414 2626 2828 3347 5252 6694 9191 13388 18382 23429 36764 43511 46858 87022 93716 174044 179939 304577 338047 359878 609154 676094 719756 1218308 1259573 1352188 2339207 2366329 2519146 4394611 4678414 4732658 5038292 8789222 9356828 9465316 16374449 17578444 18173839 30762277 32748898 36347678 61524554 65497796 72695356 123049108 127216873 236259907 254433746 472519814 508867492 602255833 945039628 1204511666 1653819349 2409023332 3307638698 4215790831 6615277396 7829325829 8431581662 15658651658 16863163324 31317303316 54805280803 60827839133 109610561606 121655678266 219221123212 243311356532 425794873931 790761908729 851589747862 1581523817458 1703179495724 3163047634916 5535333361103 11070666722206 22141333444412