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142341231021210 = 23451316661811337
BaseRepresentation
bin100000010111010101100110…
…100000110000110010011010
3200122222200121010110022110000
4200113111212200300302122
5122124104320120134320
61222422354145033430
741660546253436434
oct4027254640606232
9618880533408400
10142341231021210
11413996390a0871
1213b6a826325876
136156949bbc130
1427214d0b73654
15116c94e776c90
hex817566830c9a

142341231021210 has 160 divisors (see below), whose sum is σ = 412206521447952. Its totient is φ = 35035695313920.

The previous prime is 142341231021193. The next prime is 142341231021239. The reversal of 142341231021210 is 12120132143241.

142341231021210 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 412 + 3 + 10 + 21 + 210 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 79572483556281 + 62768747464929 = 8920341^2 + 7922673^2 .

It is a super-2 number, since 2×1423412310212102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 175034662 + ... + 175845998.

Almost surely, 2142341231021210 is an apocalyptic number.

142341231021210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142341231021210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206103260723976).

142341231021210 is an abundant number, since it is smaller than the sum of its proper divisors (269865290426742).

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

142341231021210 is a wasteful number, since it uses less digits than its factorization.

142341231021210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828030 (or 828021 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 142341231021210 its reverse (12120132143241), we get a palindrome (154461363164451).

The spelling of 142341231021210 in words is "one hundred forty-two trillion, three hundred forty-one billion, two hundred thirty-one million, twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 1053 1170 1755 2106 3510 5265 10530 16661 33322 49983 83305 99966 149949 166610 216593 249915 299898 433186 449847 499830 649779 749745 811337 899694 1082965 1299558 1349541 1499490 1622674 1949337 2165930 2249235 2434011 2699082 3248895 3898674 4056685 4498470 4868022 5848011 6497790 6747705 7302033 8113370 9746685 10547381 11696022 12170055 13495410 14604066 17544033 19493370 21094762 21906099 24340110 29240055 31642143 35088066 36510165 43812198 52736905 58480110 63284286 65718297 73020330 87720165 94926429 105473810 109530495 131436594 158210715 175440330 189852858 219060990 284779287 316421430 328591485 474632145 569558574 657182970 854337861 949264290 1423896435 1708675722 2847792870 4271689305 8543378610 13517685757 27035371514 40553057271 67588428785 81106114542 121659171813 135176857570 175729914841 202765286355 243318343626 351459829682 364977515439 405530572710 527189744523 608295859065 729955030878 878649574205 1054379489046 1094932546317 1216591718130 1581569233569 1757299148410 1824887577195 2189865092634 2635948722615 3163138467138 3649775154390 4744707700707 5271897445230 5474662731585 7907846167845 9489415401414 10949325463170 14234123102121 15815692335690 23723538503535 28468246204242 47447077007070 71170615510605 142341231021210