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409242328656 = 24371217983121
BaseRepresentation
bin1011111010010001011…
…11100101111001010000
31110010022210122022102120
411331020233211321100
523201112014004111
6512000415214240
741365256253420
oct5751057457120
91403283568376
10409242328656
11148616697747
1267392517380
132c78c376375
1415b43858480
15a9a2ee1406
hex5f48be5e50

409242328656 has 40 divisors (see below), whose sum is σ = 1208239257024. Its totient is φ = 116926379520.

The previous prime is 409242328643. The next prime is 409242328657. The reversal of 409242328656 is 656823242904.

It is a junction number, because it is equal to n+sod(n) for n = 409242328599 and 409242328608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409242328657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 608991225 + ... + 608991896.

Almost surely, 2409242328656 is an apocalyptic number.

It is an amenable number.

409242328656 is an abundant number, since it is smaller than the sum of its proper divisors (798996928368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

409242328656 is a wasteful number, since it uses less digits than its factorization.

409242328656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217983139 (or 1217983133 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 409242328656 in words is "four hundred nine billion, two hundred forty-two million, three hundred twenty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1217983121 2435966242 3653949363 4871932484 7307898726 8525881847 9743864968 14615797452 17051763694 19487729936 25577645541 29231594904 34103527388 51155291082 58463189808 68207054776 102310582164 136414109552 204621164328 409242328656