Search a number
-
+
242403303012 = 2231323267725237
BaseRepresentation
bin1110000111000001011…
…1001101111001100100
3212011200111120122221120
43201300113031321210
512432420221144022
6303205240013540
723340660036063
oct3416027157144
9764614518846
10242403303012
1193891388382
123ab904612b0
1319b21275910
14ba3792c1da
15648ae35d5c
hex38705cde64

242403303012 has 96 divisors (see below), whose sum is σ = 635861920512. Its totient is φ = 71313302016.

The previous prime is 242403303007. The next prime is 242403303017. The reversal of 242403303012 is 210303304242.

242403303012 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 (242403303007) and next prime (242403303017).

It is a super-2 number, since 2×2424033030122 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242403303017) 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, 9592458 + ... + 9617694.

It is an arithmetic number, because the mean of its divisors is an integer number (6623561672).

Almost surely, 2242403303012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242403303012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317930960256).

242403303012 is an abundant number, since it is smaller than the sum of its proper divisors (393458617500).

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

242403303012 is a wasteful number, since it uses less digits than its factorization.

242403303012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27957 (or 27955 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 242403303012 its reverse (210303304242), we get a palindrome (452706607254).

The spelling of 242403303012 in words is "two hundred forty-two billion, four hundred three million, three hundred three thousand, twelve".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 897 1196 1794 2677 3588 5354 8031 10708 16062 25237 32124 34801 50474 61571 69602 75711 100948 104403 123142 139204 151422 184713 208806 246284 302844 328081 369426 417612 580451 656162 738852 800423 984243 1160902 1312324 1600846 1741353 1968486 2321804 2401269 3201692 3482706 3936972 4802538 6965412 7545863 9605076 15091726 22637589 30183452 45275178 67559449 90550356 135118898 202678347 270237796 405356694 810713388 878272837 1553867327 1756545674 2634818511 3107734654 3513091348 4661601981 5269637022 6215469308 9323203962 10539274044 18646407924 20200275251 40400550502 60600825753 80801101004 121201651506 242403303012