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1414022420100 = 223528356788049
BaseRepresentation
bin10100100100111010010…
…011011101011010000100
312000011211122122112122110
4110210322103131122010
5141131404214420400
63001332023501020
7204105536154213
oct24447223353204
95004748575573
101414022420100
114a575787a034
121aa0692b7770
13a3459a65884
144c620a7b07a
1526bae220e50
hex1493a4dd684

1414022420100 has 72 divisors (see below), whose sum is σ = 4140530301600. Its totient is φ = 372529594880.

The previous prime is 1414022420093. The next prime is 1414022420119. The reversal of 1414022420100 is 10242204141.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28369125 + ... + 28418924.

It is an arithmetic number, because the mean of its divisors is an integer number (57507365300).

Almost surely, 21414022420100 is an apocalyptic number.

1414022420100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1414022420100 is an abundant number, since it is smaller than the sum of its proper divisors (2726507881500).

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

1414022420100 is a wasteful number, since it uses less digits than its factorization.

1414022420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56788149 (or 56788142 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 1414022420100 its reverse (10242204141), we get a palindrome (1424264624241).

The spelling of 1414022420100 in words is "one trillion, four hundred fourteen billion, twenty-two million, four hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 166 249 300 332 415 498 830 996 1245 1660 2075 2490 4150 4980 6225 8300 12450 24900 56788049 113576098 170364147 227152196 283940245 340728294 567880490 681456588 851820735 1135760980 1419701225 1703641470 2839402450 3407282940 4259103675 4713408067 5678804900 8518207350 9426816134 14140224201 17036414700 18853632268 23567040335 28280448402 47134080670 56560896804 70701121005 94268161340 117835201675 141402242010 235670403350 282804484020 353505605025 471340806700 707011210050 1414022420100