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341604406143 = 3271113210128879
BaseRepresentation
bin1001111100010010011…
…01011001001101111111
31012122201222221211201100
410332021031121031333
521044101211444033
6420533023544143
733452163354150
oct4761115311577
91178658854640
10341604406143
11121967866430
125625675b053
13262a03ca600
141276882d927
158d44e65513
hex4f8935937f

341604406143 has 144 divisors (see below), whose sum is σ = 672764451840. Its totient is φ = 162178848000.

The previous prime is 341604406133. The next prime is 341604406177.

341604406143 is a `hidden beast` number, since 3 + 4 + 1 + 604 + 4 + 0 + 6 + 1 + 43 = 666.

341604406143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 341604406143 - 29 = 341604405631 is a prime.

It is a super-3 number, since 3×3416044061433 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 341604406098 and 341604406107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341604406133) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 11814378 + ... + 11843256.

It is an arithmetic number, because the mean of its divisors is an integer number (4671975360).

Almost surely, 2341604406143 is an apocalyptic number.

341604406143 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

341604406143 is a deficient number, since it is larger than the sum of its proper divisors (331160045697).

341604406143 is a wasteful number, since it uses less digits than its factorization.

341604406143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29030 (or 29014 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 341604 and 406143, that added together give a palindrome (747747).

The spelling of 341604406143 in words is "three hundred forty-one billion, six hundred four million, four hundred six thousand, one hundred forty-three".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 101 117 143 169 231 273 303 429 507 693 707 819 909 1001 1111 1183 1287 1313 1521 1859 2121 3003 3333 3549 3939 5577 6363 7777 9009 9191 9999 10647 11817 13013 14443 16731 17069 23331 27573 28879 39039 43329 51207 69993 82719 86637 101101 117117 119483 129987 153621 187759 202153 259911 303303 317669 358449 375427 563277 606459 909909 953007 1075347 1126281 1314313 1689831 1819377 2223683 2627989 2859021 2916779 3378843 3942939 4129697 4880551 6671049 7883967 8750337 11828817 12389091 14641653 20013147 20417453 23651901 26251011 28907879 32084569 34163857 37167273 37918127 43924959 53686061 61252359 86723637 96253707 102491571 113754381 161058183 183757077 224591983 260170911 265426889 288761121 307474713 341263143 375802427 417099397 483174549 492935651 673775949 796280667 1127407281 1251298191 1478806953 2021327847 2388842001 2919695779 3382221843 3450549557 3753894573 4436420859 5422292161 8759087337 10351648671 16266876483 26277262011 31054946013 37956045127 48800629449 113868135381 341604406143