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311707544744401 = 132910119741554529
BaseRepresentation
bin100011011011111110001000…
…1011110100111000111010001
31111212122221122201212101112021
41012313330101132213013101
5311324004022423310101
63022540245203131441
7122441061353031331
oct10667742136470721
91455587581771467
10311707544744401
119035747789a183
122ab63016073b81
13104c0b840bbcb0
1456d8a233110c1
1526083666405a1
hex11b7f117a71d1

311707544744401 has 32 divisors (see below), whose sum is σ = 352478820909600. Its totient is φ = 273661499596800.

The previous prime is 311707544744383. The next prime is 311707544744411. The reversal of 311707544744401 is 104447445707113.

It can be written as a sum of positive squares in 16 ways, for example, as 24204186050625 + 287503358693776 = 4919775^2 + 16955924^2 .

It is a cyclic number.

It is not a de Polignac number, because 311707544744401 - 225 = 311707511189969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311707544744411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13276096 + ... + 28278433.

It is an arithmetic number, because the mean of its divisors is an integer number (11014963153425).

Almost surely, 2311707544744401 is an apocalyptic number.

It is an amenable number.

311707544744401 is a deficient number, since it is larger than the sum of its proper divisors (40771276165199).

311707544744401 is a wasteful number, since it uses less digits than its factorization.

311707544744401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41554869.

The product of its (nonzero) digits is 5268480, while the sum is 52.

The spelling of 311707544744401 in words is "three hundred eleven trillion, seven hundred seven billion, five hundred forty-four million, seven hundred forty-four thousand, four hundred one".

Divisors: 1 13 29 101 197 377 1313 2561 2929 5713 19897 38077 74269 258661 577013 7501169 41554529 540208877 1205081341 4197007429 8186242213 15666057433 54561096577 106421148769 121713215441 237401024177 826810463513 1582271800733 3086213314301 10748536025669 23977503441877 311707544744401