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1431033111424 = 2772325370139
BaseRepresentation
bin10100110100110000001…
…110000110001110000000
312001210202011021012022001
4110310300032012032000
5141421223434031144
63013224005553344
7205250222514400
oct24646016061600
95053664235261
101431033111424
11501996980214
121b1416115854
13a4c3b0303b7
144d395d40800
152735780abd4
hex14d30386380

1431033111424 has 96 divisors (see below), whose sum is σ = 3317403864600. Its totient is φ = 613102629888.

The previous prime is 1431033111407. The next prime is 1431033111427. The reversal of 1431033111424 is 4241113301341.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1431033111392 and 1431033111401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431033111427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20367747 + ... + 20437885.

Almost surely, 21431033111424 is an apocalyptic number.

1431033111424 is a gapful number since it is divisible by the number (14) 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 1431033111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658701932300).

1431033111424 is an abundant number, since it is smaller than the sum of its proper divisors (1886370753176).

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

1431033111424 is an equidigital number, since it uses as much as digits as its factorization.

1431033111424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73420 (or 73401 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 1431033111424 its reverse (4241113301341), we get a palindrome (5672146412765).

The spelling of 1431033111424 in words is "one trillion, four hundred thirty-one billion, thirty-three million, one hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 3253 6272 6506 13012 22771 26024 45542 52048 70139 91084 104096 140278 159397 182168 208192 280556 318794 364336 416384 490973 561112 637588 728672 981946 1122224 1275176 1457344 1963892 2244448 2550352 2914688 3436811 3927784 4488896 5100704 6873622 7855568 8977792 10201408 13747244 15711136 20402816 27494488 31422272 54988976 62844544 109977952 219955904 228162167 439911808 456324334 912648668 1597135169 1825297336 3194270338 3650594672 6388540676 7301189344 11179946183 12777081352 14602378688 22359892366 25554162704 29204757376 44719784732 51108325408 89439569464 102216650816 178879138928 204433301632 357758277856 715516555712 1431033111424