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1431331240032 = 2532174313151899
BaseRepresentation
bin10100110101000001111…
…111010111100001100000
312001211111221020200212100
4110311001333113201200
5141422331244140112
63013313335530400
7205260502541121
oct24650177274140
95054457220770
101431331240032
1150202a1966a1
121b1499b29a00
13a4c87a24465
144d3c3788048
1527373a9a2dc
hex14d41fd7860

1431331240032 has 288 divisors, whose sum is σ = 4443757718400. Its totient is φ = 435245690880.

The previous prime is 1431331240019. The next prime is 1431331240043. The reversal of 1431331240032 is 2300421331341.

It is a happy number.

1431331240032 is a `hidden beast` number, since 1 + 4 + 313 + 312 + 4 + 0 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×14313312400322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1431331239978 and 1431331240005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27553219 + ... + 27605117.

It is an arithmetic number, because the mean of its divisors is an integer number (15429714300).

Almost surely, 21431331240032 is an apocalyptic number.

1431331240032 is a gapful number since it is divisible by the number (12) 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 1431331240032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221878859200).

1431331240032 is an abundant number, since it is smaller than the sum of its proper divisors (3012426478368).

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

1431331240032 is a wasteful number, since it uses less digits than its factorization.

1431331240032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52106 (or 52095 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1431331240032 its reverse (2300421331341), we get a palindrome (3731752571373).

The spelling of 1431331240032 in words is "one trillion, four hundred thirty-one billion, three hundred thirty-one million, two hundred forty thousand, thirty-two".