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142341012 = 223211241797
BaseRepresentation
bin10000111101111…
…11001110010100
3100220211200011100
420132333032110
5242414403022
622042510100
73345610242
oct1036771624
9326750140
10142341012
1173390a00
123b805330
1323649a68
1414c93792
15c76a1ac
hex87bf394

142341012 has 108 divisors (see below), whose sum is σ = 405644148. Its totient is φ = 42028800.

The previous prime is 142341011. The next prime is 142341061. The reversal of 142341012 is 210143241.

It can be written as a sum of positive squares in 2 ways, for example, as 32216976 + 110124036 = 5676^2 + 10494^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142341011) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 178198 + ... + 178994.

Almost surely, 2142341012 is an apocalyptic number.

142341012 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 142341012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202822074).

142341012 is an abundant number, since it is smaller than the sum of its proper divisors (263303136).

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

142341012 is a wasteful number, since it uses less digits than its factorization.

142341012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 142341012 is about 11930.6752533124. The cubic root of 142341012 is about 522.1276386690.

Adding to 142341012 its reverse (210143241), we get a palindrome (352484253).

The spelling of 142341012 in words is "one hundred forty-two million, three hundred forty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 121 123 132 164 198 242 246 363 369 396 451 484 492 726 738 797 902 1089 1353 1452 1476 1594 1804 2178 2391 2706 3188 4059 4356 4782 4961 5412 7173 8118 8767 9564 9922 14346 14883 16236 17534 19844 26301 28692 29766 32677 35068 44649 52602 59532 65354 78903 89298 96437 98031 105204 130708 157806 178596 192874 196062 289311 294093 315612 359447 385748 392124 578622 588186 718894 867933 1078341 1157244 1176372 1437788 1735866 2156682 3235023 3471732 3953917 4313364 6470046 7907834 11861751 12940092 15815668 23723502 35585253 47447004 71170506 142341012