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142314500013 = 37313495711097
BaseRepresentation
bin1000010010001010011…
…0101110111110101101
3111121100010211122212220
42010202212232332231
54312430003000023
6145213421345553
713165454201520
oct2044246567655
9447303748786
10142314500013
115539a909274
12236b8a082b9
131056024302a
146c60b92bb7
153a7e0093e3
hex21229aefad

142314500013 has 64 divisors (see below), whose sum is σ = 225095270400. Its totient is φ = 78264921600.

The previous prime is 142314499949. The next prime is 142314500021. The reversal of 142314500013 is 310005413241.

It is a happy number.

It is not a de Polignac number, because 142314500013 - 26 = 142314499949 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142314500063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129730081 + ... + 129731177.

It is an arithmetic number, because the mean of its divisors is an integer number (3517113600).

Almost surely, 2142314500013 is an apocalyptic number.

It is an amenable number.

142314500013 is a deficient number, since it is larger than the sum of its proper divisors (82780770387).

142314500013 is a wasteful number, since it uses less digits than its factorization.

142314500013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 142314500013 its reverse (310005413241), we get a palindrome (452319913254).

The spelling of 142314500013 in words is "one hundred forty-two billion, three hundred fourteen million, five hundred thousand, thirteen".

Divisors: 1 3 7 21 31 93 217 349 571 651 1047 1097 1713 2443 3291 3997 7329 7679 10819 11991 17701 23037 32457 34007 53103 75733 102021 123907 199279 227199 238049 371721 382853 597837 626387 714147 1148559 1394953 1879161 2679971 4184859 4384709 6177649 8039913 11868443 13154127 18532947 19417997 35605329 43243543 58253991 83079101 129730629 135925979 218609063 249237303 407777937 655827189 1530263441 4590790323 6776880953 20330642859 47438166671 142314500013