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41071117140977 = 71147531249171439
BaseRepresentation
bin10010101011010100111010…
…10110010000001111110001
312101102100201202210111222212
421111222131112100033301
520340402121442002402
6223203451041541505
711436201366366140
oct1125523526201761
9171370652714885
1041071117140977
11120a51879a4640
124733a36044895
1319bbcb35805c1
14a1dbd1a59757
154b3549bb3952
hex255a9d5903f1

41071117140977 has 64 divisors (see below), whose sum is σ = 53324697600000. Its totient is φ = 30706767636480.

The previous prime is 41071117140923. The next prime is 41071117141063. The reversal of 41071117140977 is 77904171117014.

41071117140977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 41071117140977 - 230 = 41070043399153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41071117140917) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 239481224 + ... + 239652662.

It is an arithmetic number, because the mean of its divisors is an integer number (833198400000).

Almost surely, 241071117140977 is an apocalyptic number.

41071117140977 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

41071117140977 is a deficient number, since it is larger than the sum of its proper divisors (12253580459023).

41071117140977 is a wasteful number, since it uses less digits than its factorization.

41071117140977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172806.

The product of its (nonzero) digits is 345744, while the sum is 50.

The spelling of 41071117140977 in words is "forty-one trillion, seventy-one billion, one hundred seventeen million, one hundred forty thousand, nine hundred seventy-seven".

Divisors: 1 7 11 47 53 77 329 371 517 583 1249 2491 3619 4081 8743 13739 17437 27401 58703 66197 96173 171439 191807 410921 463379 645733 728167 1200073 1885829 3111259 4520131 5097169 8057633 9086267 13200803 21778813 34223849 56403431 63603869 88633963 99948937 214127311 239566943 427054549 620437741 699642559 1498891177 2355400421 2989381843 4697600039 10063983617 11348747483 16487802947 32883200273 70447885319 79441232381 110703819787 124836222313 533391131701 774926738509 873853556191 3733737921907 5867302448711 41071117140977