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1231143040 = 2759372053
BaseRepresentation
bin100100101100001…
…1100000010000000
310011210121112202101
41021120130002000
510010133034130
6322055400144
742336354211
oct11130340200
93153545671
101231143040
11581a47a96
122a4383054
131680a980a
14b9719408
157313d1ca
hex4961c080

1231143040 has 64 divisors (see below), whose sum is σ = 2947777560. Its totient is φ = 491692032.

The previous prime is 1231142999. The next prime is 1231143041. The reversal of 1231143040 is 403411321.

It can be written as a sum of positive squares in 4 ways, for example, as 680583744 + 550559296 = 26088^2 + 23464^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1231142999 and 1231143017.

It is not an unprimeable number, because it can be changed into a prime (1231143041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 598654 + ... + 600706.

Almost surely, 21231143040 is an apocalyptic number.

1231143040 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 1231143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473888780).

1231143040 is an abundant number, since it is smaller than the sum of its proper divisors (1716634520).

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

1231143040 is an equidigital number, since it uses as much as digits as its factorization.

1231143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1231143040 is about 35087.6479690503. The cubic root of 1231143040 is about 1071.7730640141.

Adding to 1231143040 its reverse (403411321), we get a palindrome (1634554361).

The spelling of 1231143040 in words is "one billion, two hundred thirty-one million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 937 1874 2053 3748 4106 4685 7496 8212 9370 10265 14992 16424 18740 20530 29984 32848 37480 41060 59968 65696 74960 82120 119936 131392 149920 164240 262784 299840 328480 599680 656960 1313920 1923661 3847322 7694644 9618305 15389288 19236610 30778576 38473220 61557152 76946440 123114304 153892880 246228608 307785760 615571520 1231143040