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4053961294281 = 334716349195401
BaseRepresentation
bin111010111111100010111…
…011000100000111001001
3112100112222112101110202000
4322333202323010013021
51012410003042404111
612342210351501213
7565613640304563
oct72774273040711
915315875343660
104053961294281
111323303511748
12555827527809
13235396457472
141002d9bca333
15706bd4cbc56
hex3afe2ec41c9

4053961294281 has 32 divisors (see below), whose sum is σ = 6134059584000. Its totient is φ = 2644962537600.

The previous prime is 4053961294241. The next prime is 4053961294291. The reversal of 4053961294281 is 1824921693504.

It is a happy number.

4053961294281 is a `hidden beast` number, since 4 + 0 + 5 + 3 + 96 + 129 + 428 + 1 = 666.

It is not a de Polignac number, because 4053961294281 - 221 = 4053959197129 is a prime.

It is a super-3 number, since 3×40539612942813 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (4053961294211) 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 31 ways as a sum of consecutive naturals, for example, 20649181 + ... + 20844581.

It is an arithmetic number, because the mean of its divisors is an integer number (191689362000).

Almost surely, 24053961294281 is an apocalyptic number.

It is an amenable number.

4053961294281 is a deficient number, since it is larger than the sum of its proper divisors (2080098289719).

4053961294281 is a wasteful number, since it uses less digits than its factorization.

4053961294281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211806 (or 211800 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 4053961294281 in words is "four trillion, fifty-three billion, nine hundred sixty-one million, two hundred ninety-four thousand, two hundred eighty-one".

Divisors: 1 3 9 27 47 141 423 1269 16349 49047 147141 195401 441423 586203 768403 1758609 2305209 5275827 6915627 9183847 20746881 27551541 82654623 247963869 3194610949 9583832847 28751498541 86254495623 150146714603 450440143809 1351320431427 4053961294281