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142178816 = 291341521
BaseRepresentation
bin10000111100101…
…11101000000000
3100220112102200002
420132113220000
5242344210231
622035215132
73344333333
oct1036275000
9326472602
10142178816
117329005a
123b7474a8
13235c0ca0
1414c5061a
15c7370cb
hex8797a00

142178816 has 80 divisors (see below), whose sum is σ = 313995528. Its totient is φ = 63897600.

The previous prime is 142178809. The next prime is 142178819. The reversal of 142178816 is 618871241.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 44089600 + 98089216 = 6640^2 + 9904^2 .

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 142178816.

It is not an unprimeable number, because it can be changed into a prime (142178819) 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, 272636 + ... + 273156.

Almost surely, 2142178816 is an apocalyptic number.

142178816 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 142178816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156997764).

142178816 is an abundant number, since it is smaller than the sum of its proper divisors (171816712).

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

142178816 is an equidigital number, since it uses as much as digits as its factorization.

142178816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 577 counting only the distinct ones).

The product of its digits is 21504, while the sum is 38.

The square root of 142178816 is about 11923.8758799310. The cubic root of 142178816 is about 521.9292437480.

The spelling of 142178816 in words is "one hundred forty-two million, one hundred seventy-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 128 164 208 256 328 416 512 521 533 656 832 1042 1066 1312 1664 2084 2132 2624 3328 4168 4264 5248 6656 6773 8336 8528 10496 13546 16672 17056 20992 21361 27092 33344 34112 42722 54184 66688 68224 85444 108368 133376 136448 170888 216736 266752 272896 277693 341776 433472 555386 683552 866944 1110772 1367104 1733888 2221544 2734208 3467776 4443088 5468416 8886176 10936832 17772352 35544704 71089408 142178816