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1260404098000 = 2453630202049
BaseRepresentation
bin10010010101110101111…
…100000100001111010000
311110111022201200012222021
4102111311330010033100
5131122301422114000
62403004402021224
7160026663031015
oct22256574041720
94414281605867
101260404098000
11446597288a43
12184336947814
1391b1798c828
144500a92b70c
1522bbcb6111a
hex12575f043d0

1260404098000 has 40 divisors (see below), whose sum is σ = 3047657113800. Its totient is φ = 504161638400.

The previous prime is 1260404097989. The next prime is 1260404098007. The reversal of 1260404098000 is 8904040621.

It can be written as a sum of positive squares in 4 ways, for example, as 28996640656 + 1231407457344 = 170284^2 + 1109688^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1260404098007) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 315099025 + ... + 315103024.

It is an arithmetic number, because the mean of its divisors is an integer number (76191427845).

Almost surely, 21260404098000 is an apocalyptic number.

1260404098000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1260404098000 is an abundant number, since it is smaller than the sum of its proper divisors (1787253015800).

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

1260404098000 is an equidigital number, since it uses as much as digits as its factorization.

1260404098000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630202072 (or 630202056 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 1260404098000 in words is "one trillion, two hundred sixty billion, four hundred four million, ninety-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 630202049 1260404098 2520808196 3151010245 5041616392 6302020490 10083232784 12604040980 15755051225 25208081960 31510102450 50416163920 63020204900 78775256125 126040409800 157550512250 252080819600 315101024500 630202049000 1260404098000