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142601690413 = 713192672967
BaseRepresentation
bin1000010011001110111…
…0010001110100101101
3111122002011020110001101
42010303232101310231
54314022013043123
6145302121043101
713205542240360
oct2046356216455
9448064213041
10142601690413
1155527a33706
1223779026491
13105a78a7490
146c8ad900d7
153a99337aad
hex2133b91d2d

142601690413 has 72 divisors (see below), whose sum is σ = 188233702272. Its totient is φ = 105185158848.

The previous prime is 142601690411. The next prime is 142601690443. The reversal of 142601690413 is 314096106241.

142601690413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 142601690413 - 21 = 142601690411 is a prime.

It is a super-2 number, since 2×1426016904132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142601690411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 147467656 + ... + 147468622.

It is an arithmetic number, because the mean of its divisors is an integer number (2614356976).

Almost surely, 2142601690413 is an apocalyptic number.

142601690413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

142601690413 is a deficient number, since it is larger than the sum of its proper divisors (45632011859).

142601690413 is an equidigital number, since it uses as much as digits as its factorization.

142601690413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

Adding to 142601690413 its reverse (314096106241), we get a palindrome (456697796654).

The spelling of 142601690413 in words is "one hundred forty-two billion, six hundred one million, six hundred ninety thousand, four hundred thirteen".

Divisors: 1 7 13 19 67 91 133 247 361 469 871 967 1273 1729 2527 4489 4693 6097 6769 8911 12571 16549 18373 24187 31423 32851 58357 64789 85291 87997 115843 128611 169309 238849 314431 349087 408499 453523 597037 842257 1108783 1230991 1620529 1671943 2201017 2443609 4340863 4538131 5895799 7761481 8616937 11343703 16002883 21066877 23388829 30386041 31766917 56431219 82476397 112020181 147468139 163721803 304054777 395018533 577334779 1072193161 1567051543 2128383439 7505352127 10969360801 20371670059 142601690413