Search a number
-
+
406145513223 = 32532683317353
BaseRepresentation
bin1011110100100000010…
…10001011011100000111
31102211022222102210021200
411322100022023130013
523123241222410343
6510325231513543
741225443621122
oct5722012133407
91384288383250
10406145513223
1114727761044a
12668693888b3
132c3b78c49b8
141592c44d3b9
15a8711c64d3
hex5e9028b707

406145513223 has 24 divisors (see below), whose sum is σ = 597948251472. Its totient is φ = 265555075968.

The previous prime is 406145513201. The next prime is 406145513227. The reversal of 406145513223 is 322315541604.

406145513223 is a `hidden beast` number, since 4 + 0 + 614 + 5 + 5 + 1 + 32 + 2 + 3 = 666.

It is not a de Polignac number, because 406145513223 - 29 = 406145512711 is a prime.

It is a super-2 number, since 2×4061455132232 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406145513227) 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, 1121115 + ... + 1438467.

It is an arithmetic number, because the mean of its divisors is an integer number (24914510478).

Almost surely, 2406145513223 is an apocalyptic number.

406145513223 is a deficient number, since it is larger than the sum of its proper divisors (191802738249).

406145513223 is a wasteful number, since it uses less digits than its factorization.

406145513223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320095 (or 320092 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 406145513223 in words is "four hundred six billion, one hundred forty-five million, five hundred thirteen thousand, two hundred twenty-three".

Divisors: 1 3 9 53 159 477 2683 8049 24147 142199 317353 426597 952059 1279791 2856177 16819709 50459127 151377381 851458099 2554374297 7663122891 45127279247 135381837741 406145513223