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334131143131420 = 225239307563404429
BaseRepresentation
bin100101111111000111111100…
…0000110000100000100011100
31121211001121212212021101101221
41023332033320012010010130
5322243401040120201140
63142345421133543124
7130244115132332425
oct11376177006040434
91554047785241357
10334131143131420
1197512249575888
1231584a2b944aa4
131145957c2b6c2b
145c7206835664c
1528967b79ac14a
hex12fe3f818411c

334131143131420 has 96 divisors (see below), whose sum is σ = 708163789132800. Its totient is φ = 132423755998464.

The previous prime is 334131143131339. The next prime is 334131143131463. The reversal of 334131143131420 is 24131341131433.

It is a super-2 number, since 2×3341311431314202 (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 31 ways as a sum of consecutive naturals, for example, 825977766 + ... + 826382194.

It is an arithmetic number, because the mean of its divisors is an integer number (7376706136800).

Almost surely, 2334131143131420 is an apocalyptic number.

It is an amenable number.

334131143131420 is an abundant number, since it is smaller than the sum of its proper divisors (374032646001380).

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

334131143131420 is a wasteful number, since it uses less digits than its factorization.

334131143131420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405547 (or 405545 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

Adding to 334131143131420 its reverse (24131341131433), we get a palindrome (358262484262853).

The spelling of 334131143131420 in words is "three hundred thirty-four trillion, one hundred thirty-one billion, one hundred forty-three million, one hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 239 307 478 563 614 956 1126 1195 1228 1535 2252 2390 2815 3070 4780 5630 6140 11260 73373 134557 146746 172841 269114 293492 345682 366865 404429 538228 672785 691364 733730 808858 864205 1345570 1467460 1617716 1728410 2022145 2691140 3456820 4044290 8088580 41308999 82617998 96658531 124159703 165235996 193317062 206544995 227693527 248319406 386634124 413089990 455387054 483292655 496638812 620798515 826179980 910774108 966585310 1138467635 1241597030 1933170620 2276935270 2483194060 4553870540 29674169017 54418752953 59348338034 69901912789 108837505906 118696676068 139803825578 148370845085 217675011812 272093764765 279607651156 296741690170 349509563945 544187529530 593483380340 699019127890 1088375059060 1398038255780 16706557156571 33413114313142 66826228626284 83532785782855 167065571565710 334131143131420