Search a number
-
+
400511600221 = 7313813972817
BaseRepresentation
bin1011101010000000101…
…10100000011001011101
31102021210100020100120011
411311000112200121131
523030221432201341
6503554213323221
740636023300565
oct5650026403135
91367710210504
10400511600221
111449463a21a7
1265756636511
132b9ca625475
14155560d7da5
15a6417a3b81
hex5d405a065d

400511600221 has 8 divisors (see below), whose sum is σ = 406292151224. Its totient is φ = 394738997760.

The previous prime is 400511600219. The next prime is 400511600227. The reversal of 400511600221 is 122006115004.

It can be written as a sum of positive squares in 4 ways, for example, as 82720087321 + 317791512900 = 287611^2 + 563730^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 400511600221 - 21 = 400511600219 is a prime.

It is a super-2 number, since 2×4005116002212 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 400511600192 and 400511600201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400511600227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1885596 + ... + 2087221.

It is an arithmetic number, because the mean of its divisors is an integer number (50786518903).

Almost surely, 2400511600221 is an apocalyptic number.

It is an amenable number.

400511600221 is a deficient number, since it is larger than the sum of its proper divisors (5780551003).

400511600221 is a wasteful number, since it uses less digits than its factorization.

400511600221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974271.

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 400511600221 its reverse (122006115004), we get a palindrome (522517715225).

The spelling of 400511600221 in words is "four hundred billion, five hundred eleven million, six hundred thousand, two hundred twenty-one".

Divisors: 1 73 1381 100813 3972817 290015641 5486460277 400511600221