Search a number
-
+
1427002437441 = 37611113975361
BaseRepresentation
bin10100110000111111111…
…110010010111101000001
312001102100020211202001110
4110300333332102331001
5141340000110444231
63011320022353533
7205045310404320
oct24607776227501
95042306752043
101427002437441
11500208746199
121b069028b8a9
13a4747c5bcc9
144d0d28c40b7
15271bda27046
hex14c3ff92f41

1427002437441 has 16 divisors (see below), whose sum is σ = 2210127118208. Its totient is φ = 802062259200.

The previous prime is 1427002437439. The next prime is 1427002437449. The reversal of 1427002437441 is 1447342007241.

It is not a de Polignac number, because 1427002437441 - 21 = 1427002437439 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1427002437441.

It is not an unprimeable number, because it can be changed into a prime (1427002437449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556986400 + ... + 556988961.

It is an arithmetic number, because the mean of its divisors is an integer number (138132944888).

Almost surely, 21427002437441 is an apocalyptic number.

It is an amenable number.

1427002437441 is a deficient number, since it is larger than the sum of its proper divisors (783124680767).

1427002437441 is a wasteful number, since it uses less digits than its factorization.

1427002437441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113975432.

The product of its (nonzero) digits is 150528, while the sum is 39.

The spelling of 1427002437441 in words is "one trillion, four hundred twenty-seven billion, two million, four hundred thirty-seven thousand, four hundred forty-one".

Divisors: 1 3 7 21 61 183 427 1281 1113975361 3341926083 7797827527 23393482581 67952497021 203857491063 475667479147 1427002437441