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1431010014 = 23726477523
BaseRepresentation
bin101010101001011…
…0111101011011110
310200201200211200220
41111102313223132
510412314310024
6353555302210
750314245600
oct12522675336
93621624626
101431010014
1167484a005
1233b2aa966
1319a6183b5
14d80a5170
158596ce79
hex554b7ade

1431010014 has 48 divisors (see below), whose sum is σ = 3334877568. Its totient is φ = 408173808.

The previous prime is 1431009997. The next prime is 1431010019. The reversal of 1431010014 is 4100101341.

It is a junction number, because it is equal to n+sod(n) for n = 1431009975 and 1431010002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431010019) 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 23 ways as a sum of consecutive naturals, for example, 186457 + ... + 193979.

It is an arithmetic number, because the mean of its divisors is an integer number (69476616).

Almost surely, 21431010014 is an apocalyptic number.

1431010014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1431010014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667438784).

1431010014 is an abundant number, since it is smaller than the sum of its proper divisors (1903867554).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1431010014 is a wasteful number, since it uses less digits than its factorization.

1431010014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8189 (or 8182 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1431010014 is about 37828.6929988336. The cubic root of 1431010014 is about 1126.8883548727. Note that the first 3 decimals are identical.

Adding to 1431010014 its reverse (4100101341), we get a palindrome (5531111355).

The spelling of 1431010014 in words is "one billion, four hundred thirty-one million, ten thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 647 1294 1941 3882 4529 7523 9058 13587 15046 22569 27174 31703 45138 52661 63406 95109 105322 157983 190218 315966 368627 737254 1105881 2211762 4867381 9734762 14602143 29204286 34071667 68143334 102215001 204430002 238501669 477003338 715505007 1431010014