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213414122044340 = 22571994185261289
BaseRepresentation
bin110000100001100101011000…
…111011110011101110110100
31000222122012011002211010202222
4300201211120323303232310
5210433034110220404330
62033521032202421512
762644442615353160
oct6041453073635664
91028565132733688
10213414122044340
116200046a221368
121bb29105801898
139210b33255a89
143a9b4275b3ca0
1519a15ced0e0e5
hexc21958ef3bb4

213414122044340 has 96 divisors (see below), whose sum is σ = 539724428409600. Its totient is φ = 69245807662080.

The previous prime is 213414122044327. The next prime is 213414122044351. The reversal of 213414122044340 is 43440221414312.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 213414122044340.

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, 40127585 + ... + 45133704.

It is an arithmetic number, because the mean of its divisors is an integer number (5622129462600).

Almost surely, 2213414122044340 is an apocalyptic number.

213414122044340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213414122044340 is an abundant number, since it is smaller than the sum of its proper divisors (326310306365260).

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

213414122044340 is a wasteful number, since it uses less digits than its factorization.

213414122044340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85262265 (or 85262263 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 213414122044340 its reverse (43440221414312), we get a palindrome (256854343458652).

The spelling of 213414122044340 in words is "two hundred thirteen trillion, four hundred fourteen billion, one hundred twenty-two million, forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 941 1330 1882 2660 3764 4705 6587 9410 13174 17879 18820 26348 32935 35758 65870 71516 89395 125153 131740 178790 250306 357580 500612 625765 1251530 2503060 85261289 170522578 341045156 426306445 596829023 852612890 1193658046 1619964491 1705225780 2387316092 2984145115 3239928982 5968290230 6479857964 8099822455 11339751437 11936580460 16199644910 22679502874 32399289820 45359005748 56698757185 80230872949 113397514370 160461745898 226795028740 320923491796 401154364745 561616110643 802308729490 1123232221286 1524386586031 1604617458980 2246464442572 2808080553215 3048773172062 5616161106430 6097546344124 7621932930155 10670706102217 11232322212860 15243865860310 21341412204434 30487731720620 42682824408868 53353530511085 106707061022170 213414122044340