Search a number
-
+
142533420512 = 2571675996361
BaseRepresentation
bin1000010010111110100…
…1110110010111100000
3111121220101202222100112
42010233221312113200
54313402023424022
6145251241510452
713204053040640
oct2045751662740
9447811688315
10142533420512
11554a24444aa
122375a1a2428
13105966c32a2
146c81c9c520
153a9334e8e2
hex212fa765e0

142533420512 has 96 divisors (see below), whose sum is σ = 323209958400. Its totient is φ = 60609070080.

The previous prime is 142533420481. The next prime is 142533420517. The reversal of 142533420512 is 215024335241.

142533420512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1425334205123 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142533420517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22404212 + ... + 22410572.

It is an arithmetic number, because the mean of its divisors is an integer number (3366770400).

Almost surely, 2142533420512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142533420512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161604979200).

142533420512 is an abundant number, since it is smaller than the sum of its proper divisors (180676537888).

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

142533420512 is a wasteful number, since it uses less digits than its factorization.

142533420512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7144 (or 7136 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 142533420512 its reverse (215024335241), we get a palindrome (357557755753).

The spelling of 142533420512 in words is "one hundred forty-two billion, five hundred thirty-three million, four hundred twenty thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 167 224 334 599 668 1169 1198 1336 2338 2396 2672 4193 4676 4792 5344 6361 8386 9352 9584 12722 16772 18704 19168 25444 33544 37408 44527 50888 67088 89054 100033 101776 134176 178108 200066 203552 356216 400132 700231 712432 800264 1062287 1400462 1424864 1600528 2124574 2800924 3201056 3810239 4249148 5601848 7436009 7620478 8498296 11203696 14872018 15240956 16996592 22407392 26671673 29744036 30481912 33993184 53343346 59488072 60963824 106686692 118976144 121927648 213373384 237952288 426746768 636309913 853493536 1272619826 2545239652 4454169391 5090479304 8908338782 10180958608 17816677564 20361917216 35633355128 71266710256 142533420512