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340231143431322 = 2321113266591526909
BaseRepresentation
bin100110101011100000011110…
…0011100100001110010011010
31122121122210001101000111221100
41031113000330130201302122
5324043321340204300242
63203340010214252230
7131443613622351513
oct11527007434416232
91577583041014840
10340231143431322
1199454243728690
12321ab0a9657076
13117ac87522cb00
1460033bd243a0a
1529502d5bdd54c
hex135703c721c9a

340231143431322 has 144 divisors (see below), whose sum is σ = 870932729066400. Its totient is φ = 95155196423040.

The previous prime is 340231143431273. The next prime is 340231143431419. The reversal of 340231143431322 is 223134341132043.

340231143431322 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 311 + 4 + 3 + 4 + 313 + 22 = 666.

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 71 ways as a sum of consecutive naturals, for example, 222060004 + ... + 223586912.

It is an arithmetic number, because the mean of its divisors is an integer number (6048143951850).

Almost surely, 2340231143431322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340231143431322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435466364533200).

340231143431322 is an abundant number, since it is smaller than the sum of its proper divisors (530701585635078).

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

340231143431322 is a wasteful number, since it uses less digits than its factorization.

340231143431322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533613 (or 1533597 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 340231143431322 its reverse (223134341132043), we get a palindrome (563365484563365).

The spelling of 340231143431322 in words is "three hundred forty trillion, two hundred thirty-one billion, one hundred forty-three million, four hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 169 198 234 286 338 429 507 858 1014 1287 1521 1859 2574 3042 3718 5577 6659 11154 13318 16731 19977 33462 39954 59931 73249 86567 119862 146498 173134 219747 259701 439494 519402 659241 779103 952237 1125371 1318482 1526909 1558206 1904474 2250742 2856711 3053818 3376113 4580727 5713422 6752226 8570133 9161454 10128339 12379081 13742181 16795999 17140266 19849817 20256678 24758162 27484362 33591998 37137243 39699634 50387997 59549451 74274486 100775994 111411729 119098902 151163991 178648353 218347987 222823458 258047621 302327982 357296706 436695974 516095242 655043961 774142863 1310087922 1548285726 1965131883 2322428589 2838523831 3930263766 4644857178 5677047662 8515571493 10167687031 17031142986 20335374062 25546714479 30503061093 51093428958 61006122186 91509183279 111844557341 132179931403 183018366558 223689114682 264359862806 335533672023 396539794209 671067344046 793079588418 1006601016069 1189619382627 1453979245433 1718339108239 2013202032138 2379238765254 2907958490866 3436678216478 4361937736299 5155017324717 8723875472598 10310034649434 13085813208897 15465051974151 18901730190629 26171626417794 30930103948302 37803460381258 56705190571887 113410381143774 170115571715661 340231143431322