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340100230011444 = 223278390131804093
BaseRepresentation
bin100110101010100011100000…
…1011001011101101000110100
31122121012021010210022201210200
41031111013001121131220310
5324034200232340331234
63203155515545320500
7131431300514553450
oct11525070131355064
91577167123281720
10340100230011444
11994037744a06a1
1232189852a96130
13117a0411043556
145ddad20727660
15294bbc2a9bd99
hex13551c165da34

340100230011444 has 144 divisors (see below), whose sum is σ = 994460141980032. Its totient is φ = 95990048822016.

The previous prime is 340100230011431. The next prime is 340100230011467. The reversal of 340100230011444 is 444110032001043.

340100230011444 is a `hidden beast` number, since 340 + 1 + 0 + 0 + 2 + 300 + 1 + 14 + 4 + 4 = 666.

It is a super-2 number, since 2×3401002300114442 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187613862 + ... + 189417954.

Almost surely, 2340100230011444 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 340100230011444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497230070990016).

340100230011444 is an abundant number, since it is smaller than the sum of its proper divisors (654359911968588).

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

340100230011444 is a wasteful number, since it uses less digits than its factorization.

340100230011444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813206 (or 1813201 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 340100230011444 its reverse (444110032001043), we get a palindrome (784210262012487).

The spelling of 340100230011444 in words is "three hundred forty trillion, one hundred billion, two hundred thirty million, eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 83 84 126 166 249 252 332 498 581 747 996 1162 1494 1743 2324 2988 3486 5229 6972 9013 10458 18026 20916 27039 36052 54078 63091 81117 108156 126182 162234 189273 252364 324468 378546 567819 748079 757092 1135638 1496158 1804093 2244237 2271276 2992316 3608186 4488474 5236553 5412279 6732711 7216372 8976948 10473106 10824558 12628651 13465422 15709659 16236837 20946212 21649116 25257302 26930844 31419318 32473674 37885953 47128977 50514604 62838636 64947348 75771906 94257954 113657859 149739719 151543812 188515908 227315718 299479438 449219157 454631436 598958876 898438314 1048178033 1347657471 1796876628 2096356066 2695314942 3144534099 4192712132 5390629884 6289068198 9433602297 12578136396 16260290209 18867204594 32520580418 37734409188 48780870627 65041160836 97561741254 113822031463 146342611881 195123482508 227644062926 292685223762 341466094389 455288125852 585370447524 682932188778 1024398283167 1349604087347 1365864377556 2048796566334 2699208174694 4048812262041 4097593132668 5398416349388 8097624524082 9447228611429 12146436786123 16195249048164 18894457222858 24292873572246 28341685834287 37788914445716 48585747144492 56683371668574 85025057502861 113366743337148 170050115005722 340100230011444