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1280942082441 = 3271931110333331
BaseRepresentation
bin10010101000111110000…
…110010000100110001001
311112110100001111221010200
4102220332012100212021
5131441332133114231
62420242350202413
7161354640023460
oct22507606204611
94473301457120
101280942082441
114542764586aa
12188308ab3409
1393a3b95b848
1445dd84559d7
15234c0c49be6
hex12a3e190989

1280942082441 has 96 divisors (see below), whose sum is σ = 2235854100480. Its totient is φ = 690336172800.

The previous prime is 1280942082439. The next prime is 1280942082481. The reversal of 1280942082441 is 1442802490821.

1280942082441 is a `hidden beast` number, since 1 + 28 + 0 + 94 + 20 + 82 + 441 = 666.

It is not a de Polignac number, because 1280942082441 - 21 = 1280942082439 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1280942082481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 384550146 + ... + 384553476.

It is an arithmetic number, because the mean of its divisors is an integer number (23290146880).

Almost surely, 21280942082441 is an apocalyptic number.

It is an amenable number.

1280942082441 is a deficient number, since it is larger than the sum of its proper divisors (954912018039).

1280942082441 is a wasteful number, since it uses less digits than its factorization.

1280942082441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4707 (or 4704 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 1280942082441 in words is "one trillion, two hundred eighty billion, nine hundred forty-two million, eighty-two thousand, four hundred forty-one".

Divisors: 1 3 7 9 19 21 57 63 133 171 311 399 933 1033 1197 2177 2799 3099 3331 5909 6531 7231 9297 9993 17727 19593 19627 21693 23317 29979 41363 53181 58881 63289 65079 69951 124089 137389 176643 189867 209853 321263 372267 412167 443023 569601 963789 1035941 1236501 1329069 2248841 2891367 3107823 3440923 3987207 6103997 6746523 7251587 9323469 10322769 18311991 19682879 20239569 21754761 24086461 30968307 42727979 54935973 59048637 65264283 65377537 72259383 128183937 137780153 177145911 196132611 216778149 384551811 413340459 457642759 588397833 1070127053 1240021377 1372928277 3210381159 4118784831 7490889371 9631143477 20332414007 22472668113 60997242021 67418004339 142326898049 182991726063 426980694147 1280942082441