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22142113410340 = 225711105277136573
BaseRepresentation
bin1010000100011010111001…
…10011011110110100100100
32220101202122221202121100001
411002031130303132310210
510400234022013112330
6115031540234431044
74443500132415310
oct502153463366444
986352587677301
1022142113410340
11706746585a480
122597358b92484
13c47cb9211b51
14567980cb6b40
15285e7939a9ca
hex14235ccded24

22142113410340 has 96 divisors (see below), whose sum is σ = 57973053890304. Its totient is φ = 6901321858560.

The previous prime is 22142113410331. The next prime is 22142113410359. The reversal of 22142113410340 is 4301431124122.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 22142113410299 and 22142113410308.

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, 162058294 + ... + 162194866.

It is an arithmetic number, because the mean of its divisors is an integer number (603885978024).

Almost surely, 222142113410340 is an apocalyptic number.

22142113410340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22142113410340 is an abundant number, since it is smaller than the sum of its proper divisors (35830940479964).

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

22142113410340 is a wasteful number, since it uses less digits than its factorization.

22142113410340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241877 (or 241875 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 22142113410340 its reverse (4301431124122), we get a palindrome (26443544534462).

The spelling of 22142113410340 in words is "twenty-two trillion, one hundred forty-two billion, one hundred thirteen million, four hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 105277 136573 210554 273146 421108 526385 546292 682865 736939 956011 1052770 1158047 1365730 1473878 1502303 1912022 2105540 2316094 2731460 2947756 3004606 3684695 3824044 4632188 4780055 5790235 6009212 7369390 7511515 8106329 9560110 10516121 11580470 14738780 15023030 16212658 19120220 21032242 23160940 30046060 32425316 40531645 42064484 52580605 81063290 105161210 162126580 210322420 14377995721 28755991442 57511982884 71889978605 100645970047 143779957210 158157952931 201291940094 287559914420 316315905862 402583880188 503229850235 632631811724 790789764655 1006459700470 1107105670517 1581579529310 2012919400940 2214211341034 3163159058620 4428422682068 5535528352585 11071056705170 22142113410340