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142122221241 = 37111323640519
BaseRepresentation
bin1000010001011100100…
…1001111111010111001
3111120211202000212222220
42010113021033322321
54312031242034431
6145142352234253
713160630643150
oct2042711177271
9446752025886
10142122221241
115530131a3a0
122366453b989
131052c460300
146c43420597
153a6c1c7b96
hex211724feb9

142122221241 has 48 divisors (see below), whose sum is σ = 255826621440. Its totient is φ = 68150496960.

The previous prime is 142122221231. The next prime is 142122221243.

142122221241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 142122221241 - 26 = 142122221177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (142122221243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1781221 + ... + 1859298.

It is an arithmetic number, because the mean of its divisors is an integer number (5329721280).

Almost surely, 2142122221241 is an apocalyptic number.

142122221241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142122221241 is a deficient number, since it is larger than the sum of its proper divisors (113704400199).

142122221241 is a wasteful number, since it uses less digits than its factorization.

142122221241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640566 (or 3640553 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

It can be divided in two parts, 142122 and 221241, that added together give a palindrome (363363).

The spelling of 142122221241 in words is "one hundred forty-two billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred forty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 169 231 273 429 507 1001 1183 1859 3003 3549 5577 13013 39039 3640519 10921557 25483633 40045709 47326747 76450899 120137127 141980241 280319963 331287229 520594217 615247711 840959889 993861687 1561782651 1845743133 3644159519 4306733977 6767724821 10932478557 12920201931 20303174463 47374073747 142122221241