Search a number
-
+
8402131241449 = 1122635132
BaseRepresentation
bin111101001000100011000…
…0011000100100111101001
31002202020100222021001111121
41322101012003010213221
52100130031044211244
625511515200055241
71525014434113201
oct172210603044751
932666328231447
108402131241449
11274a362051900
12b38480904521
1348c41893b3ca
14210945901401
15e885a9e7c84
hex7a4460c49e9

8402131241449 has 9 divisors (see below), whose sum is σ = 9235435502839. Its totient is φ = 7638272142160.

The previous prime is 8402131241393. The next prime is 8402131241461. The reversal of 8402131241449 is 9441421312048.

The square root of 8402131241449 is 2898643.

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

It can be written as a sum of positive squares in only one way, i.e., 8228435675625 + 173695565824 = 2868525^2 + 416768^2 .

It is not a de Polignac number, because 8402131241449 - 27 = 8402131241321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8402131241479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31753317 + ... + 32016829.

Almost surely, 28402131241449 is an apocalyptic number.

8402131241449 is the 2898643-rd square number.

8402131241449 is the 1449322-nd centered octagonal number.

It is an amenable number.

8402131241449 is a deficient number, since it is larger than the sum of its proper divisors (833304261390).

8402131241449 is an frugal number, since it uses more digits than its factorization.

8402131241449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527048 (or 263524 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 8402131241449 in words is "eight trillion, four hundred two billion, one hundred thirty-one million, two hundred forty-one thousand, four hundred forty-nine".

Divisors: 1 11 121 263513 2898643 31885073 69439101169 763830112859 8402131241449