Search a number
-
+
396949141521 = 322343972
BaseRepresentation
bin1011100011011000000…
…00110011100000010001
31101221121001211200221100
411301230000303200101
523000422440012041
6502204513415013
740451525013612
oct5615400634021
91357531750840
10396949141521
11143388495259
1264b2156a469
132b58055aa3a
14152d8d1bc09
15a4d3b5a6b6
hex5c6c033811

396949141521 has 45 divisors (see below), whose sum is σ = 600946917051. Its totient is φ = 252489389328.

The previous prime is 396949141481. The next prime is 396949141531. The reversal of 396949141521 is 125141949693.

The square root of 396949141521 is 630039.

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

396949141521 is a `hidden beast` number, since 3 + 9 + 69 + 49 + 14 + 1 + 521 = 666.

It can be written as a sum of positive squares in only one way, i.e., 266023850625 + 130925290896 = 515775^2 + 361836^2 .

It is a de Polignac number, because none of the positive numbers 2k-396949141521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (396949141531) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 999871695 + ... + 999872091.

Almost surely, 2396949141521 is an apocalyptic number.

396949141521 is the 630039-th square number.

396949141521 is the 315020-th centered octagonal number.

It is an amenable number.

396949141521 is a deficient number, since it is larger than the sum of its proper divisors (203997775530).

396949141521 is an frugal number, since it uses more digits than its factorization.

396949141521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 423 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The spelling of 396949141521 in words is "three hundred ninety-six billion, nine hundred forty-nine million, one hundred forty-one thousand, five hundred twenty-one".

Divisors: 1 3 9 23 69 207 397 529 1191 1587 3573 4761 9131 12167 27393 36501 82179 109503 157609 210013 279841 472827 630039 839523 1418481 1890117 2518569 3625007 4830299 10875021 14490897 32625063 43472691 83375161 111096877 250125483 333290631 750376449 999871893 1917628703 5752886109 17258658327 44105460169 132316380507 396949141521