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1431401040 = 243251988057
BaseRepresentation
bin101010101010001…
…0111001001010000
310200202102201002100
41111110113021100
510412414313130
6354011520400
750320464606
oct12524271120
93622381070
101431401040
11674a96873
1233b459100
1319a724384
14d8167876
15859e8c60
hex55517250

1431401040 has 60 divisors (see below), whose sum is σ = 4807124244. Its totient is φ = 381706752.

The previous prime is 1431401029. The next prime is 1431401047. The reversal of 1431401040 is 401041341.

It can be written as a sum of positive squares in 2 ways, for example, as 631416384 + 799984656 = 25128^2 + 28284^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431401047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 993309 + ... + 994748.

Almost surely, 21431401040 is an apocalyptic number.

1431401040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1431401040 is an abundant number, since it is smaller than the sum of its proper divisors (3375723204).

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

1431401040 is a wasteful number, since it uses less digits than its factorization.

1431401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988076 (or 1988067 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1431401040 is about 37833.8610242201. The cubic root of 1431401040 is about 1126.9909869327.

Adding to 1431401040 its reverse (401041341), we get a palindrome (1832442381).

The spelling of 1431401040 in words is "one billion, four hundred thirty-one million, four hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1988057 3976114 5964171 7952228 9940285 11928342 15904456 17892513 19880570 23856684 29820855 31808912 35785026 39761140 47713368 59641710 71570052 79522280 89462565 95426736 119283420 143140104 159044560 178925130 238566840 286280208 357850260 477133680 715700520 1431401040