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1431210342120 = 23351341891032441
BaseRepresentation
bin10100110100111010110…
…010001011011011101000
312001211012111202110002220
4110310322302023123220
5141422104321421440
63013253340354040
7205254504120066
oct24647262133350
95054174673086
101431210342120
11501a77a21269
121b1465545920
13a4c68974930
144d3b16b7036
15273681688d0
hex14d3ac8b6e8

1431210342120 has 512 divisors, whose sum is σ = 4838395161600. Its totient is φ = 336406118400.

The previous prime is 1431210342091. The next prime is 1431210342139. The reversal of 1431210342120 is 212430121341.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 586320100 + ... + 586322540.

It is an arithmetic number, because the mean of its divisors is an integer number (9449990550).

Almost surely, 21431210342120 is an apocalyptic number.

1431210342120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1431210342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419197580800).

1431210342120 is an abundant number, since it is smaller than the sum of its proper divisors (3407184819480).

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

1431210342120 is a wasteful number, since it uses less digits than its factorization.

1431210342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1431210342120 its reverse (212430121341), we get a palindrome (1643640463461).

The spelling of 1431210342120 in words is "one trillion, four hundred thirty-one billion, two hundred ten million, three hundred forty-two thousand, one hundred twenty".