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2841486720241 = 132127210212
BaseRepresentation
bin101001010110010101110…
…011100111110011110001
3101001122101002120100012211
4221112111303213303301
5333023331100021431
610013205545452121
7412201455416161
oct51262563476361
911048332510184
102841486720241
119a60821a3534
1239a8481a1041
13177c495b5c00
149b758a2a5a1
154dda857b2b1
hex29595ce7cf1

2841486720241 has 27 divisors (see below), whose sum is σ = 3104334772353. Its totient is φ = 2599709243040.

The previous prime is 2841486720239. The next prime is 2841486720257. The reversal of 2841486720241 is 1420276841482.

The square root of 2841486720241 is 1685671.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 261299880625 + 2580186839616 = 511175^2 + 1606296^2 .

It is not a de Polignac number, because 2841486720241 - 21 = 2841486720239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2841486720221) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2783042311 + ... + 2783043331.

It is an arithmetic number, because the mean of its divisors is an integer number (114975361939).

Almost surely, 22841486720241 is an apocalyptic number.

2841486720241 is the 1685671-st square number.

2841486720241 is the 842836-th centered octagonal number.

It is an amenable number.

2841486720241 is a deficient number, since it is larger than the sum of its proper divisors (262848052112).

2841486720241 is an frugal number, since it uses more digits than its factorization.

2841486720241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 49.

Multiplying 2841486720241 by its sum of digits (49), we get a square (139232849291809 = 117996972).

The spelling of 2841486720241 in words is "two trillion, eight hundred forty-one billion, four hundred eighty-six million, seven hundred twenty thousand, two hundred forty-one".

Divisors: 1 13 127 169 1021 1651 13273 16129 21463 129667 172549 209677 1042441 1685671 2725801 13551733 16467709 21913723 132390007 176172529 214080217 1721070091 2783042821 16813530889 22373911183 218575901557 2841486720241