Search a number
-
+
143230642140 = 223529122367307
BaseRepresentation
bin1000010101100100110…
…1100010011111011100
3111200200222201111121210
42011121031202133130
54321314021022030
6145444345424420
713230250241025
oct2053115423734
9450628644553
10143230642140
115581aa66423
122391379b110
1310677c9bb71
146d0a711c4c
153ad4673bb0
hex21593627dc

143230642140 has 96 divisors (see below), whose sum is σ = 415220359680. Its totient is φ = 36847073536.

The previous prime is 143230642127. The next prime is 143230642153. The reversal of 143230642140 is 41246032341.

143230642140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (143230642127) and next prime (143230642153).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 143230642098 and 143230642107.

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, 2094367 + ... + 2161673.

It is an arithmetic number, because the mean of its divisors is an integer number (4325212080).

Almost surely, 2143230642140 is an apocalyptic number.

143230642140 is a gapful number since it is divisible by the number (10) 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 143230642140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207610179840).

143230642140 is an abundant number, since it is smaller than the sum of its proper divisors (271989717540).

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

143230642140 is a wasteful number, since it uses less digits than its factorization.

143230642140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68571 (or 68569 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 143230642140 its reverse (41246032341), we get a palindrome (184476674481).

The spelling of 143230642140 in words is "one hundred forty-three billion, two hundred thirty million, six hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1223 1740 2446 3669 4892 6115 7338 12230 14676 18345 24460 35467 36690 67307 70934 73380 106401 134614 141868 177335 201921 212802 269228 336535 354670 403842 425604 532005 673070 709340 807684 1009605 1064010 1346140 1951903 2019210 2128020 3903806 4038420 5855709 7807612 9759515 11711418 19519030 23422836 29278545 39038060 58557090 82316461 117114180 164632922 246949383 329265844 411582305 493898766 823164610 987797532 1234746915 1646329220 2387177369 2469493830 4774354738 4938987660 7161532107 9548709476 11935886845 14323064214 23871773690 28646128428 35807660535 47743547380 71615321070 143230642140