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1431011461 = 11271166571
BaseRepresentation
bin101010101001011…
…1000000010000101
310200201200220200111
41111102320002011
510412314331321
6353555313021
750314253035
oct12522700205
93621626614
101431011461
11674850100
1233b2ab771
1319a618c59
14d80a58c5
158596d5e1
hex554b8085

1431011461 has 12 divisors (see below), whose sum is σ = 1595093472. Its totient is φ = 1282589000.

The previous prime is 1431011377. The next prime is 1431011503. The reversal of 1431011461 is 1641101341.

It is a happy number.

It is not a de Polignac number, because 1431011461 - 29 = 1431010949 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 (1431011761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74695 + ... + 91876.

It is an arithmetic number, because the mean of its divisors is an integer number (132924456).

Almost surely, 21431011461 is an apocalyptic number.

1431011461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1431011461 is a deficient number, since it is larger than the sum of its proper divisors (164082011).

1431011461 is a wasteful number, since it uses less digits than its factorization.

1431011461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166664 (or 166653 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 1431011461 is about 37828.7121245226. The cubic root of 1431011461 is about 1126.8887346993. Note that the first 3 decimals are identical.

The spelling of 1431011461 in words is "one billion, four hundred thirty-one million, eleven thousand, four hundred sixty-one".

Divisors: 1 11 71 121 781 8591 166571 1832281 11826541 20155091 130091951 1431011461