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142436342100 = 2235213136726717
BaseRepresentation
bin1000010010100111011…
…1100001100101010100
3111121122122002212210210
42010221313201211110
54313202200421400
6145233453045420
713201463634333
oct2045167414524
9447578085723
10142436342100
1155452669008
1223731786870
131057c563540
146c7302bd1a
153a89a75950
hex2129de1954

142436342100 has 144 divisors (see below), whose sum is σ = 444158322048. Its totient is φ = 35034293760.

The previous prime is 142436342099. The next prime is 142436342107. The reversal of 142436342100 is 1243634241.

It is a super-2 number, since 2×1424363421002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142436342107) by changing a digit.

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, 5317942 + ... + 5344658.

It is an arithmetic number, because the mean of its divisors is an integer number (3084432792).

Almost surely, 2142436342100 is an apocalyptic number.

142436342100 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 142436342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222079161024).

142436342100 is an abundant number, since it is smaller than the sum of its proper divisors (301721979948).

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

142436342100 is a wasteful number, since it uses less digits than its factorization.

142436342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28114 (or 28107 counting only the distinct ones).

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

Adding to 142436342100 its reverse (1243634241), we get a palindrome (143679976341).

The spelling of 142436342100 in words is "one hundred forty-two billion, four hundred thirty-six million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1367 1950 2734 3900 4101 5468 6835 8202 13670 16404 17771 20505 26717 27340 34175 35542 41010 53313 53434 68350 71084 80151 82020 88855 102525 106626 106868 133585 136700 160302 177710 205050 213252 266565 267170 320604 347321 355420 400755 410100 444275 533130 534340 667925 694642 801510 888550 1041963 1066260 1332825 1335850 1389284 1603020 1736605 1777100 2003775 2083926 2665650 2671700 3473210 4007550 4167852 5209815 5331300 6946420 8015100 8683025 10419630 17366050 20839260 26049075 34732100 36522139 52098150 73044278 104196300 109566417 146088556 182610695 219132834 365221390 438265668 474787807 547832085 730442780 913053475 949575614 1095664170 1424363421 1826106950 1899151228 2191328340 2373939035 2739160425 2848726842 3652213900 4747878070 5478320850 5697453684 7121817105 9495756140 10956641700 11869695175 14243634210 23739390350 28487268420 35609085525 47478780700 71218171050 142436342100