Search a number
-
+
1431400110 = 235726925339
BaseRepresentation
bin101010101010001…
…0110111010101110
310200202102122210220
41111110112322232
510412414300420
6354011512210
750320462110
oct12524267256
93622378726
101431400110
11674a960a8
1233b458666
1319a723b1a
14d81673b0
15859e8840
hex55516eae

1431400110 has 64 divisors (see below), whose sum is σ = 3940876800. Its totient is φ = 325948032.

The previous prime is 1431400081. The next prime is 1431400111. The reversal of 1431400110 is 110041341.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1431400110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431400111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43821 + ... + 69159.

It is an arithmetic number, because the mean of its divisors is an integer number (61576200).

Almost surely, 21431400110 is an apocalyptic number.

1431400110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1431400110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970438400).

1431400110 is an abundant number, since it is smaller than the sum of its proper divisors (2509476690).

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

1431400110 is a wasteful number, since it uses less digits than its factorization.

1431400110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25625.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1431400110 is about 37833.8487336406. The cubic root of 1431400110 is about 1126.9907428590.

Adding to 1431400110 its reverse (110041341), we get a palindrome (1541441451).

The spelling of 1431400110 in words is "one billion, four hundred thirty-one million, four hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 269 538 807 1345 1614 1883 2690 3766 4035 5649 8070 9415 11298 18830 25339 28245 50678 56490 76017 126695 152034 177373 253390 354746 380085 532119 760170 886865 1064238 1773730 2660595 5321190 6816191 13632382 20448573 34080955 40897146 47713337 68161910 95426674 102242865 143140011 204485730 238566685 286280022 477133370 715700055 1431400110