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143312332086 = 232711191541361
BaseRepresentation
bin1000010101111000010…
…1001010010100110110
3111200220200102210011100
42011132011022110312
54322000424111321
6145500424350530
713232261503110
oct2053605122466
9450820383140
10143312332086
1155862091280
1223937015446
131068bba1501
146d174d83b0
153adb90d326
hex215e14a536

143312332086 has 96 divisors (see below), whose sum is σ = 389156990976. Its totient is φ = 37029024000.

The previous prime is 143312332069. The next prime is 143312332109. The reversal of 143312332086 is 680233213341.

143312332086 is a `hidden beast` number, since 1 + 4 + 3 + 312 + 332 + 0 + 8 + 6 = 666.

It is a super-2 number, since 2×1433123320862 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 143312332086.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5955 + ... + 535406.

It is an arithmetic number, because the mean of its divisors is an integer number (4053718656).

Almost surely, 2143312332086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143312332086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194578495488).

143312332086 is an abundant number, since it is smaller than the sum of its proper divisors (245844658890).

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

143312332086 is a wasteful number, since it uses less digits than its factorization.

143312332086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541578 (or 541575 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 143312332086 in words is "one hundred forty-three billion, three hundred twelve million, three hundred thirty-two thousand, eighty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 191 198 231 382 462 573 693 1146 1337 1386 1719 2101 2674 3438 4011 4202 6303 8022 12033 12606 14707 18909 24066 29414 37818 44121 88242 132363 264726 541361 1082722 1624083 3248166 3789527 4872249 5954971 7579054 9744498 11368581 11909942 17864913 22737162 34105743 35729826 41684797 53594739 68211486 83369594 103399951 107189478 125054391 206799902 250108782 310199853 375163173 620399706 723799657 750326346 930599559 1137399461 1447599314 1861199118 2171398971 2274798922 3412198383 4342797942 6514196913 6824396766 7961796227 10236595149 13028393826 15923592454 20473190298 23885388681 47770777362 71656166043 143312332086