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142014331334100 = 22352701967442813
BaseRepresentation
bin100000010010100101001001…
…110001011010110111010100
3200121211102210221000121002010
4200102211021301122313110
5122103230322310142400
61222012252210144220
741625124343105241
oct4022451161326724
9617742727017063
10142014331334100
1141282a378064a5
1213b173b4282070
136131b81102a04
14270d75d2625c8
1511641ba74a450
hex812949c5add4

142014331334100 has 72 divisors (see below), whose sum is σ = 410953345115040. Its totient is φ = 37865092369280.

The previous prime is 142014331334089. The next prime is 142014331334119. The reversal of 142014331334100 is 1433133410241.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31615707 + ... + 35827106.

It is an arithmetic number, because the mean of its divisors is an integer number (5707685348820).

Almost surely, 2142014331334100 is an apocalyptic number.

142014331334100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142014331334100 is an abundant number, since it is smaller than the sum of its proper divisors (268939013780940).

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

142014331334100 is a wasteful number, since it uses less digits than its factorization.

142014331334100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67449849 (or 67449842 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 142014331334100 its reverse (1433133410241), we get a palindrome (143447464744341).

The spelling of 142014331334100 in words is "one hundred forty-two trillion, fourteen billion, three hundred thirty-one million, three hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 7019 14038 21057 28076 35095 42114 70190 84228 105285 140380 175475 210570 350950 421140 526425 701900 1052850 2105700 67442813 134885626 202328439 269771252 337214065 404656878 674428130 809313756 1011642195 1348856260 1686070325 2023284390 3372140650 4046568780 5058210975 6744281300 10116421950 20232843900 473381104447 946762208894 1420143313341 1893524417788 2366905522235 2840286626682 4733811044470 5680573253364 7100716566705 9467622088940 11834527611175 14201433133410 23669055222350 28402866266820 35503582833525 47338110444700 71007165667050 142014331334100