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1462442142141 = 34269622110789
BaseRepresentation
bin10101010010000000010…
…110000010100110111101
312011210211002220021110000
4111102000112002212331
5142430040142022031
63035500414304513
7210441452050461
oct25220026024675
95153732807400
101462442142141
11514244510942
121b7520ab8139
13a7ba52b6586
1450ad556c4a1
1528094eb03e6
hex154805829bd

1462442142141 has 40 divisors (see below), whose sum is σ = 2193312864600. Its totient is φ = 971090881920.

The previous prime is 1462442142127. The next prime is 1462442142157. The reversal of 1462442142141 is 1412412442641.

1462442142141 is a `hidden beast` number, since 1 + 4 + 62 + 442 + 14 + 2 + 141 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50969835225 + 1411472306916 = 225765^2 + 1188054^2 .

It is not a de Polignac number, because 1462442142141 - 237 = 1325003188669 is a prime.

It is a super-3 number, since 3×14624421421413 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1462442142096 and 1462442142105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1462442142191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 135543975 + ... + 135554763.

It is an arithmetic number, because the mean of its divisors is an integer number (54832821615).

Almost surely, 21462442142141 is an apocalyptic number.

It is an amenable number.

1462442142141 is a deficient number, since it is larger than the sum of its proper divisors (730870722459).

1462442142141 is a wasteful number, since it uses less digits than its factorization.

1462442142141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17291 (or 17282 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

Adding to 1462442142141 its reverse (1412412442641), we get a palindrome (2874854584782).

The spelling of 1462442142141 in words is "one trillion, four hundred sixty-two billion, four hundred forty-two million, one hundred forty-two thousand, one hundred forty-one".

Divisors: 1 3 9 27 81 269 807 2421 6221 7263 10789 18663 21789 32367 55989 97101 167967 291303 503901 873909 1673449 2902241 5020347 8706723 15061041 26120169 45183123 67118369 78360507 135549369 201355107 235081521 604065321 1812195963 5436587889 18054841261 54164523783 162493571349 487480714047 1462442142141