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142546645241 = 73111323312473
BaseRepresentation
bin1000010011000001110…
…0010011000011111001
3111121221022122212021022
42010300130103003321
54313413420121431
6145252433152225
713204303331000
oct2046034230371
9447838585238
10142546645241
11554a9957430
12237626bb675
1310599373880
146c83941c37
153a945b307b
hex21307130f9

142546645241 has 64 divisors (see below), whose sum is σ = 196151155200. Its totient is φ = 102082821120.

The previous prime is 142546645229. The next prime is 142546645271.

142546645241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 142546645241 - 26 = 142546645177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 142546645192 and 142546645201.

It is not an unprimeable number, because it can be changed into a prime (142546645201) 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, 11422181 + ... + 11434653.

It is an arithmetic number, because the mean of its divisors is an integer number (3064861800).

Almost surely, 2142546645241 is an apocalyptic number.

142546645241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142546645241 is a deficient number, since it is larger than the sum of its proper divisors (53604509959).

142546645241 is a wasteful number, since it uses less digits than its factorization.

142546645241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12751 (or 12737 counting only the distinct ones).

The product of its digits is 921600, while the sum is 44.

It can be divided in two parts, 142546 and 645241, that added together give a palindrome (787787).

The spelling of 142546645241 in words is "one hundred forty-two billion, five hundred forty-six million, six hundred forty-five thousand, two hundred forty-one".

Divisors: 1 7 11 13 49 77 91 143 233 343 539 637 1001 1631 2563 3029 3773 4459 7007 11417 12473 17941 21203 33319 49049 79919 87311 125587 137203 148421 162149 233233 611177 879109 960421 1038947 1135043 1632631 1783639 2906209 4278239 6722947 7945301 11428417 12485473 20343463 31968299 37780717 47060629 55617107 87398311 142404241 223778093 264465019 415587887 611788177 996829687 1566446651 1851255133 2909115209 10965126557 12958785931 20363806463 142546645241