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142818416 = 24134116747
BaseRepresentation
bin10001000001100…
…11110001110000
3100221201221000222
420200303301300
5243030142131
622101032212
73352636136
oct1040636160
9327657028
10142818416
1173687654
123b9b5668
1323786150
1414d79756
15c81187b
hex8833c70

142818416 has 40 divisors (see below), whose sum is σ = 305282544. Its totient is φ = 64304640.

The previous prime is 142818391. The next prime is 142818419. The reversal of 142818416 is 614818241.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142818419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155 + ... + 16901.

Almost surely, 2142818416 is an apocalyptic number.

142818416 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 142818416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152641272).

142818416 is an abundant number, since it is smaller than the sum of its proper divisors (162464128).

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

142818416 is a wasteful number, since it uses less digits than its factorization.

142818416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16809 (or 16803 counting only the distinct ones).

The product of its digits is 12288, while the sum is 35.

The square root of 142818416 is about 11950.6659228681. The cubic root of 142818416 is about 522.7107165024.

The spelling of 142818416 in words is "one hundred forty-two million, eight hundred eighteen thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 533 656 1066 2132 4264 8528 16747 33494 66988 133976 217711 267952 435422 686627 870844 1373254 1741688 2746508 3483376 5493016 8926151 10986032 17852302 35704604 71409208 142818416