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340020553160656 = 241371732297390353
BaseRepresentation
bin100110101001111110011010…
…0010010011001011111010000
31122120220122110222021100012001
41031103330310102121133100
5324031344043102120111
63203055141414043344
7131422450165525024
oct11523746422313720
91576818428240161
10340020553160656
11993829a7a3a385
1232176317349554
1311795a53b531b4
145dd712286a384
152949aacb611c1
hex1353f344997d0

340020553160656 has 80 divisors (see below), whose sum is σ = 667726614507024. Its totient is φ = 167720301658112.

The previous prime is 340020553160653. The next prime is 340020553160663. The reversal of 340020553160656 is 656061355020043.

It can be written as a sum of positive squares in 8 ways, for example, as 57191708750400 + 282828844410256 = 7562520^2 + 16817516^2 .

It is a super-3 number, since 3×3400205531606563 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340020553160653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 870863976 + ... + 871254328.

Almost surely, 2340020553160656 is an apocalyptic number.

It is an amenable number.

340020553160656 is a deficient number, since it is larger than the sum of its proper divisors (327706061346368).

340020553160656 is a wasteful number, since it uses less digits than its factorization.

340020553160656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392968 (or 392962 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 46.

The spelling of 340020553160656 in words is "three hundred forty trillion, twenty billion, five hundred fifty-three million, one hundred sixty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 137 173 274 346 548 692 1096 1384 2192 2297 2768 4594 9188 18376 23701 36752 47402 94804 189608 314689 379216 390353 397381 629378 780706 794762 1258756 1561412 1589524 2517512 3122824 3179048 5035024 6245648 6358096 53478361 54441197 67531069 106956722 108882394 135062138 213913444 217764788 270124276 427826888 435529576 540248552 855653776 871059152 896640841 1080497104 1793281682 3586563364 7173126728 9251756453 14346253456 18503512906 37007025812 74014051624 122839795217 148028103248 155118865493 245679590434 310237730986 491359180868 620475461972 982718361736 1240950923944 1965436723472 2481901847888 21251284572541 42502569145082 85005138290164 170010276580328 340020553160656