Search a number
-
+
142297564160 = 2105109254977
BaseRepresentation
bin1000010010000110011…
…0001000010000000000
3111121021221222020021002
42010201212020100000
54312411134023120
6145212014351132
713165160224043
oct2044146102000
9447257866232
10142297564160
11553912a10a4
12236b31bb4a8
131055989350b
146c5c824c5a
153a7c7b1375
hex2121988400

142297564160 has 88 divisors (see below), whose sum is σ = 344480377560. Its totient is φ = 56396611584.

The previous prime is 142297564159. The next prime is 142297564193. The reversal of 142297564160 is 61465792241.

It can be written as a sum of positive squares in 4 ways, for example, as 66720956416 + 75576607744 = 258304^2 + 274912^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 430592 + ... + 685568.

It is an arithmetic number, because the mean of its divisors is an integer number (3914549745).

Almost surely, 2142297564160 is an apocalyptic number.

142297564160 is a gapful number since it is divisible by the number (10) 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 142297564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172240188780).

142297564160 is an abundant number, since it is smaller than the sum of its proper divisors (202182813400).

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

142297564160 is a wasteful number, since it uses less digits than its factorization.

142297564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255111 (or 255093 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 142297564160 in words is "one hundred forty-two billion, two hundred ninety-seven million, five hundred sixty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 128 160 218 256 320 436 512 545 640 872 1024 1090 1280 1744 2180 2560 3488 4360 5120 6976 8720 13952 17440 27904 34880 55808 69760 111616 139520 254977 279040 509954 558080 1019908 1274885 2039816 2549770 4079632 5099540 8159264 10199080 16318528 20398160 27792493 32637056 40796320 55584986 65274112 81592640 111169972 130548224 138962465 163185280 222339944 261096448 277924930 326370560 444679888 555849860 652741120 889359776 1111699720 1305482240 1778719552 2223399440 3557439104 4446798880 7114878208 8893597760 14229756416 17787195520 28459512832 35574391040 71148782080 142297564160