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40122016730271 = 3275972673148531
BaseRepresentation
bin10010001111101101000101…
…00011100000110010011111
312021001121221022221010122200
421013312202203200302133
520224324342240332041
6221155444450142543
711310501656121150
oct1107664243406237
9167047838833580
1040122016730271
1111869719513523
1245bbaba281a53
13195064a536248
149c9cb75d3927
154989ebc8c1b6
hex247da28e0c9f

40122016730271 has 48 divisors (see below), whose sum is σ = 67357146904320. Its totient is φ = 22537813870080.

The previous prime is 40122016730251. The next prime is 40122016730287. The reversal of 40122016730271 is 17203761022104.

40122016730271 is a `hidden beast` number, since 4 + 0 + 1 + 220 + 1 + 67 + 302 + 71 = 666.

40122016730271 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 40122016730271 - 211 = 40122016728223 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40122016730251) 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 47 ways as a sum of consecutive naturals, for example, 270051276 + ... + 270199806.

It is an arithmetic number, because the mean of its divisors is an integer number (1403273893840).

Almost surely, 240122016730271 is an apocalyptic number.

40122016730271 is a deficient number, since it is larger than the sum of its proper divisors (27235130174049).

40122016730271 is a wasteful number, since it uses less digits than its factorization.

40122016730271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221276 (or 221273 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 40122016730271 its reverse (17203761022104), we get a palindrome (57325777752375).

The spelling of 40122016730271 in words is "forty trillion, one hundred twenty-two billion, sixteen million, seven hundred thirty thousand, two hundred seventy-one".

Divisors: 1 3 7 9 21 59 63 177 413 531 1239 3717 72673 148531 218019 445593 508711 654057 1039717 1336779 1526133 3119151 4287707 4578399 8763329 9357453 12863121 26289987 30013949 38589363 61343303 78869961 90041847 184029909 270125541 552089727 10794193363 32382580089 75559353541 97147740267 226678060623 636857408417 680034181869 1910572225251 4458001858919 5731716675753 13374005576757 40122016730271