Search a number
-
+
142146201560 = 235111471219619
BaseRepresentation
bin1000010001100010010…
…0101110011111011000
3111120220102011012210212
42010120210232133120
54312103411422220
6145145010230252
713161341530466
oct2043044563730
9446812135725
10142146201560
1155313909140
1223670585388
131053440834c
146c466a3836
153a6e3630c5
hex211892e7d8

142146201560 has 64 divisors (see below), whose sum is σ = 349143091200. Its totient is φ = 51654153600.

The previous prime is 142146201481. The next prime is 142146201563. The reversal of 142146201560 is 65102641241.

It is a super-2 number, since 2×1421462015602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142146201563) 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 15 ways as a sum of consecutive naturals, for example, 537431 + ... + 757049.

It is an arithmetic number, because the mean of its divisors is an integer number (5455360800).

Almost surely, 2142146201560 is an apocalyptic number.

142146201560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142146201560 is an abundant number, since it is smaller than the sum of its proper divisors (206996889640).

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

142146201560 is a wasteful number, since it uses less digits than its factorization.

142146201560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221112 (or 221108 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 142146201560 in words is "one hundred forty-two billion, one hundred forty-six million, two hundred one thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1471 2942 5884 7355 11768 14710 16181 29420 32362 58840 64724 80905 129448 161810 219619 323620 439238 647240 878476 1098095 1756952 2196190 2415809 4392380 4831618 8784760 9663236 12079045 19326472 24158090 48316180 96632360 323059549 646119098 1292238196 1615297745 2584476392 3230595490 3553655039 6461190980 7107310078 12922381960 14214620156 17768275195 28429240312 35536550390 71073100780 142146201560