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1443924001 = 132372792
BaseRepresentation
bin101011000010000…
…1000100000100001
310201121222221100201
41112010020200201
510424121032001
6355140145201
750532102652
oct12604104041
93647887321
101443924001
1168106a523
12343698201
131a01ba400
14d9aa7529
1586b6e501
hex56108821

1443924001 has 27 divisors (see below), whose sum is σ = 1627537401. Its totient is φ = 1280414304.

The previous prime is 1443923963. The next prime is 1443924011. The reversal of 1443924001 is 1004293441.

The square root of 1443924001 is 37999.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5997601 + 1437926400 = 2449^2 + 37920^2 .

It is not a de Polignac number, because 1443924001 - 211 = 1443921953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1443924011) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18277480 + ... + 18277558.

It is an arithmetic number, because the mean of its divisors is an integer number (60279163).

Almost surely, 21443924001 is an apocalyptic number.

1443924001 is the 37999-th square number.

1443924001 is the 19000-th centered octagonal number.

It is an amenable number.

1443924001 is a deficient number, since it is larger than the sum of its proper divisors (183613400).

1443924001 is an frugal number, since it uses more digits than its factorization.

1443924001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The cubic root of 1443924001 is about 1130.2680338935.

It can be divided in two parts, 1443 and 924001, that added together give a square (925444 = 9622).

The spelling of 1443924001 in words is "one billion, four hundred forty-three million, nine hundred twenty-four thousand, one".

Divisors: 1 13 37 79 169 481 1027 1369 2923 6241 6253 13351 17797 37999 81133 108151 230917 231361 493987 1054729 1405963 3001921 8543929 18277519 39024973 111071077 1443924001