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142413323013 = 3413797169693
BaseRepresentation
bin1000010010100001111…
…1101101101100000101
3111121121000210101120000
42010220133231230011
54313130302314023
6145231311431513
713201064162313
oct2045037555405
9447530711500
10142413323013
1155440676475
1223725b25599
1310577863b90
146c6dd590b3
153a87a2a243
hex21287edb05

142413323013 has 40 divisors (see below), whose sum is σ = 229394385528. Its totient is φ = 87528491136.

The previous prime is 142413323011. The next prime is 142413323029. The reversal of 142413323013 is 310323314241.

It is a happy number.

142413323013 is a `hidden beast` number, since 1 + 4 + 2 + 413 + 3 + 230 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25583364 + 142387739649 = 5058^2 + 377343^2 .

It is not a de Polignac number, because 142413323013 - 21 = 142413323011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142413323011) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 754395 + ... + 924087.

Almost surely, 2142413323013 is an apocalyptic number.

142413323013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

142413323013 is a deficient number, since it is larger than the sum of its proper divisors (86981062515).

142413323013 is a wasteful number, since it uses less digits than its factorization.

142413323013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170515 (or 170506 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 142413323013 its reverse (310323314241), we get a palindrome (452736637254).

The spelling of 142413323013 in words is "one hundred forty-two billion, four hundred thirteen million, three hundred twenty-three thousand, thirteen".

Divisors: 1 3 9 13 27 39 81 117 351 797 1053 2391 7173 10361 21519 31083 64557 93249 169693 279747 509079 839241 1527237 2206009 4581711 6618027 13745133 19854081 59562243 135245321 178686729 405735963 1217207889 1758189173 3651623667 5274567519 10954871001 15823702557 47471107671 142413323013