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2143431312 = 2431137109717
BaseRepresentation
bin111111111000010…
…0010101010010000
312112101020120222220
41333300202222100
513342204300222
6552405101040
7104054602611
oct17760425220
95471216886
102143431312
119aaa02740
124b99b7780
132820b6469
14164953c08
15c8295b5c
hex7fc22a90

2143431312 has 80 divisors (see below), whose sum is σ = 6203894592. Its totient is φ = 631964160.

The previous prime is 2143431289. The next prime is 2143431319. The reversal of 2143431312 is 2131343412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (2143431319) 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, 35323 + ... + 74394.

Almost surely, 22143431312 is an apocalyptic number.

2143431312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2143431312 is an abundant number, since it is smaller than the sum of its proper divisors (4060463280).

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

2143431312 is a wasteful number, since it uses less digits than its factorization.

2143431312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109776 (or 109770 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 2143431312 is about 46297.2063088044. The cubic root of 2143431312 is about 1289.3471271193.

Adding to 2143431312 its reverse (2131343412), we get a palindrome (4274774724).

The spelling of 2143431312 in words is "two billion, one hundred forty-three million, four hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 814 888 1221 1628 1776 2442 3256 4884 6512 9768 19536 109717 219434 329151 438868 658302 877736 1206887 1316604 1755472 2413774 2633208 3620661 4059529 4827548 5266416 7241322 8119058 9655096 12178587 14482644 16238116 19310192 24357174 28965288 32476232 44654819 48714348 57930576 64952464 89309638 97428696 133964457 178619276 194857392 267928914 357238552 535857828 714477104 1071715656 2143431312