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142013133341320 = 235171672295460943
BaseRepresentation
bin100000010010100100000010…
…010111011100001010001000
3200121211022201102210020221011
4200102210002113130022020
5122103220344113410240
61222011533253053304
741625052555250023
oct4022440227341210
9617738642706834
10142013133341320
114128248255081a
1213b1711b027234
136131a1cb62047
14270d6880d61ba
15116414a4a96ea
hex8129025dc288

142013133341320 has 128 divisors (see below), whose sum is σ = 341837619379200. Its totient is φ = 52911547600896.

The previous prime is 142013133341311. The next prime is 142013133341329. The reversal of 142013133341320 is 23143331310241.

It is an interprime number because it is at equal distance from previous prime (142013133341311) and next prime (142013133341329).

It is not an unprimeable number, because it can be changed into a prime (142013133341329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23274769 + ... + 28735711.

It is an arithmetic number, because the mean of its divisors is an integer number (2670606401400).

Almost surely, 2142013133341320 is an apocalyptic number.

142013133341320 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 142013133341320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170918809689600).

142013133341320 is an abundant number, since it is smaller than the sum of its proper divisors (199824486037880).

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

142013133341320 is a wasteful number, since it uses less digits than its factorization.

142013133341320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5461367 (or 5461363 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 142013133341320 its reverse (23143331310241), we get a palindrome (165156464651561).

The spelling of 142013133341320 in words is "one hundred forty-two trillion, thirteen billion, one hundred thirty-three million, three hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 167 170 229 334 340 458 668 680 835 916 1145 1336 1670 1832 2290 2839 3340 3893 4580 5678 6680 7786 9160 11356 14195 15572 19465 22712 28390 31144 38243 38930 56780 76486 77860 113560 152972 155720 191215 305944 382430 650131 764860 1300262 1529720 2600524 3250655 5201048 5460943 6501310 10921886 13002620 21843772 26005240 27304715 43687544 54609430 92836031 109218860 185672062 218437720 371344124 464180155 742688248 911977481 928360310 1250555947 1823954962 1856720620 2501111894 3647909924 3713441240 4559887405 5002223788 6252779735 7295819848 9119774810 10004447576 12505559470 15503617177 18239549620 21259451099 25011118940 31007234354 36479099240 42518902198 50022237880 62014468708 77518085885 85037804396 106297255495 124028937416 155036171770 170075608792 208842843149 212594510990 310072343540 417685686298 425189021980 620144687080 835371372596 850378043960 1044214215745 1670742745192 2088428431490 3550328333533 4176856862980 7100656667066 8353713725960 14201313334132 17751641667665 28402626668264 35503283335330 71006566670660 142013133341320