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3481240760757 = 34419130378721
BaseRepresentation
bin110010101010001010000…
…111100111000110110101
3110022210200122122220020000
4302222022013213012311
5424014040113321012
611223132051101513
7506340251142024
oct62521207470665
913283618586200
103481240760757
111122427721071
124828305a1899
131c33833693c6
14c06c89348bb
156084d4e8ddc
hex32a8a1e71b5

3481240760757 has 40 divisors (see below), whose sum is σ = 5216850260160. Its totient is φ = 2313481927680.

The previous prime is 3481240760749. The next prime is 3481240760759. The reversal of 3481240760757 is 7570670421843.

3481240760757 is a `hidden beast` number, since 3 + 4 + 8 + 1 + 24 + 0 + 7 + 607 + 5 + 7 = 666.

3481240760757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3481240760757 - 23 = 3481240760749 is a prime.

It is a super-2 number, since 2×34812407607572 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3481240760759) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44183157 + ... + 44261877.

It is an arithmetic number, because the mean of its divisors is an integer number (130421256504).

Almost surely, 23481240760757 is an apocalyptic number.

It is an amenable number.

3481240760757 is a deficient number, since it is larger than the sum of its proper divisors (1735609499403).

3481240760757 is a wasteful number, since it uses less digits than its factorization.

3481240760757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80455 (or 80446 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 3481240760757 in words is "three trillion, four hundred eighty-one billion, two hundred forty million, seven hundred sixty thousand, seven hundred fifty-seven".

Divisors: 1 3 9 27 81 419 1257 1303 3771 3909 11313 11727 33939 35181 78721 105543 236163 545957 708489 1637871 2125467 4913613 6376401 14740839 32984099 44222517 98952297 102573463 296856891 307720389 890570673 923161167 2671712019 2769483501 8308450503 42978280997 128934842991 386804528973 1160413586919 3481240760757