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142303143040 = 2751715318543
BaseRepresentation
bin1000010010000111101…
…1011010010010000000
3111121022100110200001021
42010201323122102000
54312414101034130
6145212334115224
713165255521022
oct2044173322200
9447270420037
10142303143040
1155394461643
12236b504bb14
131055aa97926
146c5d478012
153a7d01437a
hex2121eda480

142303143040 has 128 divisors (see below), whose sum is σ = 360482296320. Its totient is φ = 53531688960.

The previous prime is 142303143013. The next prime is 142303143049. The reversal of 142303143040 is 40341303241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 142303142996 and 142303143014.

It is not an unprimeable number, because it can be changed into a prime (142303143049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16653009 + ... + 16661551.

It is an arithmetic number, because the mean of its divisors is an integer number (2816267940).

Almost surely, 2142303143040 is an apocalyptic number.

142303143040 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 142303143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180241148160).

142303143040 is an abundant number, since it is smaller than the sum of its proper divisors (218179153280).

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

142303143040 is a wasteful number, since it uses less digits than its factorization.

142303143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10110 (or 10098 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 142303143040 its reverse (40341303241), we get a palindrome (182644446281).

The spelling of 142303143040 in words is "one hundred forty-two billion, three hundred three million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 1531 2176 2720 3062 5440 6124 7655 8543 10880 12248 15310 17086 24496 26027 30620 34172 42715 48992 52054 61240 68344 85430 97984 104108 122480 130135 136688 145231 170860 195968 208216 244960 260270 273376 290462 341720 416432 489920 520540 546752 580924 683440 726155 832864 979840 1041080 1093504 1161848 1366880 1452310 1665728 2082160 2323696 2733760 2904620 3331456 4164320 4647392 5467520 5809240 8328640 9294784 11618480 13079333 16657280 18589568 23236960 26158666 46473920 52317332 65396665 92947840 104634664 130793330 209269328 222348661 261586660 418538656 444697322 523173320 837077312 889394644 1046346640 1111743305 1674154624 1778789288 2092693280 2223486610 3557578576 4185386560 4446973220 7115157152 8370773120 8893946440 14230314304 17787892880 28460628608 35575785760 71151571520 142303143040