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444000701 = 29711911129
BaseRepresentation
bin11010011101101…
…110100110111101
31010221110120110102
4122131232212331
51402131010301
6112020250445
714000641454
oct3235564675
91127416412
10444000701
11208699331
12104840a25
1370ca9111
1442d79b9b
1528ea5b6b
hex1a76e9bd

444000701 has 16 divisors (see below), whose sum is σ = 468633600. Its totient is φ = 420067200.

The previous prime is 444000691. The next prime is 444000707. The reversal of 444000701 is 107000444.

It is a cyclic number.

It is not a de Polignac number, because 444000701 - 222 = 439806397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444000707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392705 + ... + 393833.

It is an arithmetic number, because the mean of its divisors is an integer number (29289600).

Almost surely, 2444000701 is an apocalyptic number.

It is an amenable number.

444000701 is a deficient number, since it is larger than the sum of its proper divisors (24632899).

444000701 is a wasteful number, since it uses less digits than its factorization.

444000701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420.

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 444000701 is about 21071.3241396928. The cubic root of 444000701 is about 762.8887640751. Note that the first 3 decimals are identical.

The spelling of 444000701 in words is "four hundred forty-four million, seven hundred one", and thus it is an aban number.

Divisors: 1 29 71 191 1129 2059 5539 13561 32741 80159 215639 393269 2324611 6253531 15310369 444000701