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6444124407 = 327227675281
BaseRepresentation
bin1100000000001100…
…11000100011110111
3121122002202102211100
412000012120203313
5101144143440112
62543235541143
7315456103500
oct60006304367
917562672740
106444124407
1128075a4056
1212ba15a7b3
137b90b9286
14451bbbba7
1527ab152dc
hex1801988f7

6444124407 has 36 divisors (see below), whose sum is σ = 10833846816. Its totient is φ = 3680328960.

The previous prime is 6444124391. The next prime is 6444124459. The reversal of 6444124407 is 7044214446.

6444124407 is a `hidden beast` number, since 644 + 4 + 1 + 2 + 4 + 4 + 0 + 7 = 666.

It is not a de Polignac number, because 6444124407 - 24 = 6444124391 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6444124207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1217607 + ... + 1222887.

Almost surely, 26444124407 is an apocalyptic number.

6444124407 is a deficient number, since it is larger than the sum of its proper divisors (4389722409).

6444124407 is a wasteful number, since it uses less digits than its factorization.

6444124407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8068 (or 8058 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 6444124407 is about 80275.3038424645. The cubic root of 6444124407 is about 1860.8925849481.

The spelling of 6444124407 in words is "six billion, four hundred forty-four million, one hundred twenty-four thousand, four hundred seven".

Divisors: 1 3 7 9 21 49 63 147 441 2767 5281 8301 15843 19369 24903 36967 47529 58107 110901 135583 174321 258769 332703 406749 776307 1220247 2328921 14612527 43837581 102287689 131512743 306863067 716013823 920589201 2148041469 6444124407