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1431242412 = 2231913945161
BaseRepresentation
bin101010101001111…
…0000011010101100
310200202010122111020
41111103300122230
510412344224122
6354004254140
750316234255
oct12523603254
93622118436
101431242412
11674998676
1233b3a1350
1319a69a102
14d8125b2c
15859b6c5c
hex554f06ac

1431242412 has 48 divisors (see below), whose sum is σ = 3540700800. Its totient is φ = 448709760.

The previous prime is 1431242389. The next prime is 1431242419. The reversal of 1431242412 is 2142421341.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1431242419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9112 + ... + 54272.

It is an arithmetic number, because the mean of its divisors is an integer number (73764600).

Almost surely, 21431242412 is an apocalyptic number.

1431242412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1431242412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770350400).

1431242412 is an abundant number, since it is smaller than the sum of its proper divisors (2109458388).

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

1431242412 is a wasteful number, since it uses less digits than its factorization.

1431242412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45326 (or 45324 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 1431242412 is about 37831.7645900902. The cubic root of 1431242412 is about 1126.9493543118.

Adding to 1431242412 its reverse (2142421341), we get a palindrome (3573663753).

The spelling of 1431242412 in words is "one billion, four hundred thirty-one million, two hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 139 228 278 417 556 834 1668 2641 5282 7923 10564 15846 31692 45161 90322 135483 180644 270966 541932 858059 1716118 2574177 3432236 5148354 6277379 10296708 12554758 18832137 25109516 37664274 75328548 119270201 238540402 357810603 477080804 715621206 1431242412