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2031431055440 = 245109232962277
BaseRepresentation
bin11101100011111010101…
…110011111100001010000
321012012110220220220100112
4131203322232133201100
5231240332322233230
64153120533340452
7266523520032143
oct35437256374120
97165426826315
102031431055440
11713585964a66
12289856197728
1311974225c427
1470470db205a
1537c97582d95
hex1d8fab9f850

2031431055440 has 40 divisors (see below), whose sum is σ = 4766408207880. Its totient is φ = 805117625856.

The previous prime is 2031431055419. The next prime is 2031431055461. The reversal of 2031431055440 is 445501341302.

It is an interprime number because it is at equal distance from previous prime (2031431055419) and next prime (2031431055461).

It can be written as a sum of positive squares in 4 ways, for example, as 540130924096 + 1491300131344 = 734936^2 + 1221188^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2031431055397 and 2031431055406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116472419 + ... + 116489858.

It is an arithmetic number, because the mean of its divisors is an integer number (119160205197).

Almost surely, 22031431055440 is an apocalyptic number.

2031431055440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2031431055440 is an abundant number, since it is smaller than the sum of its proper divisors (2734977152440).

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

2031431055440 is a wasteful number, since it uses less digits than its factorization.

2031431055440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232962399 (or 232962393 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 2031431055440 its reverse (445501341302), we get a palindrome (2476932396742).

The spelling of 2031431055440 in words is "two trillion, thirty-one billion, four hundred thirty-one million, fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1744 2180 4360 8720 232962277 465924554 931849108 1164811385 1863698216 2329622770 3727396432 4659245540 9318491080 18636982160 25392888193 50785776386 101571552772 126964440965 203143105544 253928881930 406286211088 507857763860 1015715527720 2031431055440