Search a number
-
+
142434620415 = 325291049104047
BaseRepresentation
bin1000010010100111000…
…0111101001111111111
3111121122111212102002200
42010221300331033333
54313201230323130
6145233352122543
713201443204003
oct2045160751777
9447574772080
10142434620415
11554516a252a
1223731096453
131057c0ac9a9
146c72b00703
153a89835760
hex2129c3d3ff

142434620415 has 48 divisors (see below), whose sum is σ = 255645936000. Its totient is φ = 73275019776.

The previous prime is 142434620413. The next prime is 142434620429. The reversal of 142434620415 is 514026434241.

142434620415 is a `hidden beast` number, since 1 + 4 + 2 + 434 + 6 + 204 + 15 = 666.

It is not a de Polignac number, because 142434620415 - 21 = 142434620413 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 142434620415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142434620413) 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, 1316922 + ... + 1420968.

It is an arithmetic number, because the mean of its divisors is an integer number (5325957000).

Almost surely, 2142434620415 is an apocalyptic number.

142434620415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

142434620415 is a deficient number, since it is larger than the sum of its proper divisors (113211315585).

142434620415 is a wasteful number, since it uses less digits than its factorization.

142434620415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105136 (or 105133 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 142434620415 in words is "one hundred forty-two billion, four hundred thirty-four million, six hundred twenty thousand, four hundred fifteen".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1049 1305 3147 5245 9441 15735 30421 47205 91263 104047 152105 273789 312141 456315 520235 936423 1368945 1560705 3017363 4682115 9052089 15086815 27156267 45260445 109145303 135781335 327435909 545726515 982307727 1637179545 3165213787 4911538635 9495641361 15826068935 28486924083 47478206805 142434620415