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1431054144 = 263213261241
BaseRepresentation
bin101010101001100…
…0010011101000000
310200201210002020100
41111103002131000
510412322213034
6354000242400
750314521342
oct12523023500
93621702210
101431054144
1167487a183
1233b310400
1319a632500
14d80b7292
158597b099
hex554c2740

1431054144 has 252 divisors, whose sum is σ = 4533203532. Its totient is φ = 431308800.

The previous prime is 1431054137. The next prime is 1431054151. The reversal of 1431054144 is 4414501341.

1431054144 is a `hidden beast` number, since 143 + 105 + 414 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1431054137) and next prime (1431054151).

It can be written as a sum of positive squares in 6 ways, for example, as 404492544 + 1026561600 = 20112^2 + 32040^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5937864 + ... + 5938104.

Almost surely, 21431054144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1431054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266601766).

1431054144 is an abundant number, since it is smaller than the sum of its proper divisors (3102149388).

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

1431054144 is a wasteful number, since it uses less digits than its factorization.

1431054144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1431054144 is about 37829.2762817371. The cubic root of 1431054144 is about 1126.8999385494.

Adding to 1431054144 its reverse (4414501341), we get a palindrome (5845555485).

The spelling of 1431054144 in words is "one billion, four hundred thirty-one million, fifty-four thousand, one hundred forty-four".