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142144103342241 = 35721121324712421
BaseRepresentation
bin100000010100011110000000…
…110010010110000010100001
3200122021211202221221122200000
4200110132000302112002201
5122112342110423422431
61222152033302450213
741640400251012300
oct4024360062260241
9618254687848600
10142144103342241
1141322a80713a00
1213b38590733969
13614119299c300
142715b50340437
1511677635759e6
hex814780c960a1

142144103342241 has 648 divisors, whose sum is σ = 301100677218432. Its totient is φ = 66705403564800.

The previous prime is 142144103342207. The next prime is 142144103342257. The reversal of 142144103342241 is 142243301441241.

142144103342241 is a `hidden beast` number, since 1 + 4 + 2 + 14 + 410 + 3 + 3 + 4 + 224 + 1 = 666.

It is not a de Polignac number, because 142144103342241 - 27 = 142144103342113 is a prime.

It is a super-2 number, since 2×1421441033422412 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 142144103342196 and 142144103342205.

It is not an unprimeable number, because it can be changed into a prime (142144103342741) by changing a digit.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 11443847211 + ... + 11443859631.

Almost surely, 2142144103342241 is an apocalyptic number.

142144103342241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142144103342241 is an abundant number, since it is smaller than the sum of its proper divisors (158956573876191).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142144103342241 is a wasteful number, since it uses less digits than its factorization.

142144103342241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12545 (or 12502 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 142144103342241 its reverse (142243301441241), we get a palindrome (284387404783482).

The spelling of 142144103342241 in words is "one hundred forty-two trillion, one hundred forty-four billion, one hundred three million, three hundred forty-two thousand, two hundred forty-one".