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142215323124 = 223783137148891
BaseRepresentation
bin1000010001110010110…
…0011001110111110100
3111121002020012221202210
42010130230121313310
54312224110314444
6145155515533420
713163141205210
oct2043454316764
9447066187683
10142215323124
115534992a1a6
122368b75a270
131054582a094
146c51937940
153a754687b9
hex211cb19df4

142215323124 has 96 divisors (see below), whose sum is σ = 386614158336. Its totient is φ = 39850110720.

The previous prime is 142215323123. The next prime is 142215323161. The reversal of 142215323124 is 421323512241.

It is a happy number.

142215323124 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-5 number, since 5×1422153231245 (a number of 57 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 142215323091 and 142215323100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142215323123) 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 31 ways as a sum of consecutive naturals, for example, 880719 + ... + 1029609.

It is an arithmetic number, because the mean of its divisors is an integer number (4027230816).

Almost surely, 2142215323124 is an apocalyptic number.

142215323124 is a gapful number since it is divisible by the number (14) 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 142215323124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193307079168).

142215323124 is an abundant number, since it is smaller than the sum of its proper divisors (244398835212).

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

142215323124 is a wasteful number, since it uses less digits than its factorization.

142215323124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149125 (or 149123 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

Adding to 142215323124 its reverse (421323512241), we get a palindrome (563538835365).

The spelling of 142215323124 in words is "one hundred forty-two billion, two hundred fifteen million, three hundred twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 137 166 249 274 332 411 498 548 581 822 959 996 1162 1644 1743 1918 2324 2877 3486 3836 5754 6972 11371 11508 22742 34113 45484 68226 79597 136452 148891 159194 238791 297782 318388 446673 477582 595564 893346 955164 1042237 1786692 2084474 3126711 4168948 6253422 12357953 12506844 20398067 24715906 37073859 40796134 49431812 61194201 74147718 81592268 86505671 122388402 142786469 148295436 173011342 244776804 259517013 285572938 346022684 428359407 519034026 571145876 856718814 1038068052 1693039561 1713437628 3386079122 5079118683 6772158244 10158237366 11851276927 20316474732 23702553854 35553830781 47405107708 71107661562 142215323124