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661045142241 = 321115742530087
BaseRepresentation
bin10011001111010010101…
…11000110001011100001
32100012021101001120212100
421213221113012023201
541312310024022431
61223402511321013
765521212666441
oct11475127061341
92305241046770
10661045142241
11235390827480
12a8146820169
134a44aa9bb53
1423dcd876121
15122de21c4e6
hex99e95c62e1

661045142241 has 24 divisors (see below), whose sum is σ = 1048281609024. Its totient is φ = 398081604960.

The previous prime is 661045142207. The next prime is 661045142281. The reversal of 661045142241 is 142241540166.

661045142241 is a `hidden beast` number, since 6 + 610 + 4 + 5 + 14 + 2 + 24 + 1 = 666.

661045142241 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 661045142241 - 214 = 661045125857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 661045142196 and 661045142205.

It is not an unprimeable number, because it can be changed into a prime (661045142201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21249501 + ... + 21280586.

It is an arithmetic number, because the mean of its divisors is an integer number (43678400376).

Almost surely, 2661045142241 is an apocalyptic number.

It is an amenable number.

661045142241 is a deficient number, since it is larger than the sum of its proper divisors (387236466783).

661045142241 is a wasteful number, since it uses less digits than its factorization.

661045142241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42530261 (or 42530258 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 661045142241 in words is "six hundred sixty-one billion, forty-five million, one hundred forty-two thousand, two hundred forty-one".

Divisors: 1 3 9 11 33 99 157 471 1413 1727 5181 15543 42530087 127590261 382770783 467830957 1403492871 4210478613 6677223659 20031670977 60095012931 73449460249 220348380747 661045142241