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142819712 = 27733253
BaseRepresentation
bin10001000001101…
…00000110000000
3100221201222210222
420200310012000
5243030212322
622101042212
73352643000
oct1040640600
9327658728
10142819712
1173688622
123b9b6368
1323786909
1414d7a000
15c811e42
hex8834180

142819712 has 64 divisors (see below), whose sum is σ = 331908000. Its totient is φ = 61189632.

The previous prime is 142819661. The next prime is 142819717. The reversal of 142819712 is 217918241.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142819717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42278 + ... + 45530.

Almost surely, 2142819712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142819712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165954000).

142819712 is an abundant number, since it is smaller than the sum of its proper divisors (189088288).

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

142819712 is an frugal number, since it uses more digits than its factorization.

142819712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288 (or 3262 counting only the distinct ones).

The product of its digits is 8064, while the sum is 35.

The square root of 142819712 is about 11950.7201456649. The cubic root of 142819712 is about 522.7122976034.

The spelling of 142819712 in words is "one hundred forty-two million, eight hundred nineteen thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 343 392 448 686 784 896 1372 1568 2744 3136 3253 5488 6272 6506 10976 13012 21952 22771 26024 43904 45542 52048 91084 104096 159397 182168 208192 318794 364336 416384 637588 728672 1115779 1275176 1457344 2231558 2550352 2914688 4463116 5100704 8926232 10201408 17852464 20402816 35704928 71409856 142819712