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1404111312020 = 2251715532659201
BaseRepresentation
bin10100011011101011100…
…011100101010010010100
311222020020221011002022102
4110123223203211102110
5141001104443441040
62553012334221232
7203305121141324
oct24335343452224
94866227132272
101404111312020
114a153125991a
121a8162054818
13a253a5ccb91
144bd60657284
15267ce071515
hex146eb8e5494

1404111312020 has 48 divisors (see below), whose sum is σ = 3124094330448. Its totient is φ = 528266035200.

The previous prime is 1404111311971. The next prime is 1404111312029. The reversal of 1404111312020 is 202131114041.

It can be written as a sum of positive squares in 8 ways, for example, as 2411595664 + 1401699716356 = 49108^2 + 1183934^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1404111311983 and 1404111312001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1404111312029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 801581 + ... + 1857620.

It is an arithmetic number, because the mean of its divisors is an integer number (65085298551).

Almost surely, 21404111312020 is an apocalyptic number.

1404111312020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1404111312020 is an abundant number, since it is smaller than the sum of its proper divisors (1719983018428).

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

1404111312020 is a wasteful number, since it uses less digits than its factorization.

1404111312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660780 (or 2660778 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1404111312020 its reverse (202131114041), we get a palindrome (1606242426061).

The spelling of 1404111312020 in words is "one trillion, four hundred four billion, one hundred eleven million, three hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1553 3106 6212 7765 15530 26401 31060 52802 105604 132005 264010 528020 2659201 5318402 10636804 13296005 26592010 45206417 53184020 90412834 180825668 226032085 452064170 904128340 4129739153 8259478306 16518956612 20648695765 41297391530 70205565601 82594783060 140411131202 280822262404 351027828005 702055656010 1404111312020