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142338833241 = 311192937211571
BaseRepresentation
bin1000010010010000001…
…1100011101101011001
3111121101211121220210120
42010210003203231121
54313002220130431
6145220051103453
713166201056053
oct2044403435531
9447354556716
10142338833241
1155402619180
1223704ba1b89
13105652b28a7
146c640c88d3
153a81214196
hex21240e3b59

142338833241 has 64 divisors (see below), whose sum is σ = 231544396800. Its totient is φ = 76774521600.

The previous prime is 142338833179. The next prime is 142338833243.

142338833241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 142338833241 - 27 = 142338833113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 142338833193 and 142338833202.

It is not an unprimeable number, because it can be changed into a prime (142338833243) 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, 566986 + ... + 778556.

It is an arithmetic number, because the mean of its divisors is an integer number (3617881200).

Almost surely, 2142338833241 is an apocalyptic number.

142338833241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142338833241 is a deficient number, since it is larger than the sum of its proper divisors (89205563559).

142338833241 is a wasteful number, since it uses less digits than its factorization.

142338833241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211670.

The product of its digits is 331776, while the sum is 42.

It can be divided in two parts, 142338 and 833241, that added together give a palindrome (975579).

The spelling of 142338833241 in words is "one hundred forty-two billion, three hundred thirty-eight million, eight hundred thirty-three thousand, two hundred forty-one".

Divisors: 1 3 11 19 29 33 37 57 87 111 209 319 407 551 627 703 957 1073 1221 1653 2109 3219 6061 7733 11803 18183 20387 23199 35409 61161 211571 224257 634713 672771 2327281 4019849 6135559 6981843 7828127 12059547 18406677 23484381 44218339 67491149 86109397 116575621 132655017 148734413 202473447 227015683 258328191 349726863 446203239 681047049 1282331831 1636078543 2497172513 3846995493 4313297977 4908235629 7491517539 12939893931 47446277747 142338833241