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340148574018760 = 23513706992535277
BaseRepresentation
bin100110101010111010000001…
…0111011001101110011001000
31122121100212220222002202112011
41031111310002323031303020
5324040443234422100020
63203234033033225304
7131434631521052263
oct11525640273156310
91577325828082464
10340148574018760
1199422222418951
12321970a5262234
13117a4b469a4540
145ddd3c9149cda
15294d0a1d8235a
hex1355d02ecdcc8

340148574018760 has 64 divisors (see below), whose sum is σ = 824322763479600. Its totient is φ = 125575551507456.

The previous prime is 340148574018749. The next prime is 340148574018787. The reversal of 340148574018760 is 67810475841043.

It can be written as a sum of positive squares in 8 ways, for example, as 11751910747236 + 328396663271524 = 3428106^2 + 18121718^2 .

It is a junction number, because it is equal to n+sod(n) for n = 340148574018695 and 340148574018704.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42591759 + ... + 49943518.

Almost surely, 2340148574018760 is an apocalyptic number.

It is an amenable number.

340148574018760 is an abundant number, since it is smaller than the sum of its proper divisors (484174189460840).

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

340148574018760 is a wasteful number, since it uses less digits than its factorization.

340148574018760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92542370 (or 92542366 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 58.

The spelling of 340148574018760 in words is "three hundred forty trillion, one hundred forty-eight billion, five hundred seventy-four million, eighteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 7069 14138 28276 35345 56552 70690 91897 141380 183794 282760 367588 459485 735176 918970 1837940 3675880 92535277 185070554 370141108 462676385 740282216 925352770 1202958601 1850705540 2405917202 3701411080 4811834404 6014793005 9623668808 12029586010 24059172020 48118344040 654131873113 1308263746226 2616527492452 3270659365565 5233054984904 6541318731130 8503714350469 13082637462260 17007428700938 26165274924520 34014857401876 42518571752345 68029714803752 85037143504690 170074287009380 340148574018760