Search a number
-
+
1442322014100 = 2235211437067277
BaseRepresentation
bin10100111111010001000…
…101110101111110010100
312002212212220022212111120
4110333101011311332110
5142112333413422400
63022332114203540
7206130040560162
oct24772105657624
95085786285446
101442322014100
1150675a1a2950
121b36468835b0
13a6019a6b676
144db47336232
15277b8915ca0
hex14fd1175f94

1442322014100 has 72 divisors (see below), whose sum is σ = 4552492767648. Its totient is φ = 349653820800.

The previous prime is 1442322014047. The next prime is 1442322014117. The reversal of 1442322014100 is 14102232441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218530339 + ... + 218536938.

Almost surely, 21442322014100 is an apocalyptic number.

1442322014100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1442322014100 is an abundant number, since it is smaller than the sum of its proper divisors (3110170753548).

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

1442322014100 is a wasteful number, since it uses less digits than its factorization.

1442322014100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437067305 (or 437067298 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1442322014100 its reverse (14102232441), we get a palindrome (1456424246541).

The spelling of 1442322014100 in words is "one trillion, four hundred forty-two billion, three hundred twenty-two million, fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 437067277 874134554 1311201831 1748269108 2185336385 2622403662 4370672770 4807740047 5244807324 6556009155 8741345540 9615480094 10926681925 13112018310 14423220141 19230960188 21853363850 24038700235 26224036620 28846440282 32780045775 43706727700 48077400470 57692880564 65560091550 72116100705 96154800940 120193501175 131120183100 144232201410 240387002350 288464402820 360580503525 480774004700 721161007050 1442322014100