Search a number
-
+
142224439092 = 223173150344711
BaseRepresentation
bin1000010001110100111…
…1001011011100110100
3111121002212101002112020
42010131033023130310
54312233424022332
6145200443153140
713163311533321
oct2043517133464
9447085332466
10142224439092
1155353a9615a
12236928157b0
131054769c448
146c52c2bb48
153a7616982c
hex211d3cb734

142224439092 has 96 divisors (see below), whose sum is σ = 363442028544. Its totient is φ = 43093286400.

The previous prime is 142224439069. The next prime is 142224439121. The reversal of 142224439092 is 290934422241.

It is a happy number.

142224439092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3158617 + ... + 3203327.

It is an arithmetic number, because the mean of its divisors is an integer number (3785854464).

Almost surely, 2142224439092 is an apocalyptic number.

142224439092 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 142224439092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181721014272).

142224439092 is an abundant number, since it is smaller than the sum of its proper divisors (221217589452).

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

142224439092 is a wasteful number, since it uses less digits than its factorization.

142224439092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45269 (or 45267 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 142224439092 in words is "one hundred forty-two billion, two hundred twenty-four million, four hundred thirty-nine thousand, ninety-two".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 372 503 527 1006 1054 1509 1581 2012 2108 3018 3162 6036 6324 8551 15593 17102 25653 31186 34204 44711 46779 51306 62372 89422 93558 102612 134133 178844 187116 265081 268266 530162 536532 760087 795243 1060324 1386041 1520174 1590486 2280261 2772082 3040348 3180972 4158123 4560522 5544164 8316246 9121044 16632492 22489633 23562697 44979266 47125394 67468899 70688091 89958532 94250788 134937798 141376182 269875596 282752364 382323761 697178623 764647522 1146971283 1394357246 1529295044 2091535869 2293942566 2788714492 4183071738 4587885132 8366143476 11852036591 23704073182 35556109773 47408146364 71112219546 142224439092