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142542205212 = 223113142598179
BaseRepresentation
bin1000010011000000101…
…1010111000100011100
3111121221000022021200210
42010300023113010130
54313411301031322
6145252154052420
713204220516211
oct2046013270434
9447830267623
10142542205212
11554a73a4590
122376111a110
131059847a934
146c83107b08
153a93ed770c
hex21302d711c

142542205212 has 96 divisors (see below), whose sum is σ = 374672793600. Its totient is φ = 41786308800.

The previous prime is 142542205153. The next prime is 142542205237. The reversal of 142542205212 is 212502245241.

142542205212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 142542205212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17423739 + ... + 17431917.

It is an arithmetic number, because the mean of its divisors is an integer number (3902841600).

Almost surely, 2142542205212 is an apocalyptic number.

142542205212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142542205212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187336396800).

142542205212 is an abundant number, since it is smaller than the sum of its proper divisors (232130588388).

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

142542205212 is a wasteful number, since it uses less digits than its factorization.

142542205212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12487 (or 12485 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 142542205212 in words is "one hundred forty-two billion, five hundred forty-two million, two hundred five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 4259 8179 8518 12777 16358 17036 24537 25554 32716 46849 49074 51108 89969 93698 98148 132029 140547 179938 187396 253549 264058 269907 281094 359876 396087 507098 528116 539814 562188 760647 792174 1014196 1079628 1452319 1521294 1584348 2789039 2904638 3042588 4356957 5578078 5809276 8367117 8713914 11156156 16734234 17427828 33468468 34834361 69668722 104503083 139337444 209006166 383177971 418012332 766355942 1079865191 1149533913 1532711884 2159730382 2299067826 3239595573 4319460764 4598135652 6479191146 11878517101 12958382292 23757034202 35635551303 47514068404 71271102606 142542205212