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142246416 = 24313257887
BaseRepresentation
bin10000111101010…
…00001000010000
3100220122212101210
420132220020100
5242403341131
622040500120
73345034404
oct1036501020
9326585353
10142246416
1173326924
123b77a640
13236159a0
1414c6b104
15c74c146
hex87a8210

142246416 has 80 divisors (see below), whose sum is σ = 397724544. Its totient is φ = 43548672.

The previous prime is 142246397. The next prime is 142246453. The reversal of 142246416 is 614642241.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159925 + ... + 160811.

Almost surely, 2142246416 is an apocalyptic number.

142246416 is a gapful number since it is divisible by the number (16) 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 142246416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198862272).

142246416 is an abundant number, since it is smaller than the sum of its proper divisors (255478128).

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

142246416 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (142246415) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1162).

142246416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1162 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 142246416 is about 11926.7101918341. The cubic root of 142246416 is about 522.0119490519.

Adding to 142246416 its reverse (614642241), we get a palindrome (756888657).

The spelling of 142246416 in words is "one hundred forty-two million, two hundred forty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 257 312 514 624 771 887 1028 1542 1774 2056 2661 3084 3341 3548 4112 5322 6168 6682 7096 10023 10644 11531 12336 13364 14192 20046 21288 23062 26728 34593 40092 42576 46124 53456 69186 80184 92248 138372 160368 184496 227959 276744 455918 553488 683877 911836 1367754 1823672 2735508 2963467 3647344 5471016 5926934 8890401 10942032 11853868 17780802 23707736 35561604 47415472 71123208 142246416