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1441434132 = 2232438091151
BaseRepresentation
bin101010111101010…
…1000101000010100
310201110022102220100
41111322220220110
510423001343012
6355010534100
750501662605
oct12572505024
93643272810
101441434132
1167a719886
12342897330
1319c828008
14d9619dac
158682b8dc
hex55ea8a14

1441434132 has 72 divisors (see below), whose sum is σ = 3736212480. Its totient is φ = 468316800.

The previous prime is 1441434091. The next prime is 1441434139. The reversal of 1441434132 is 2314341441.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1441434096 and 1441434105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441434139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1251757 + ... + 1252907.

It is an arithmetic number, because the mean of its divisors is an integer number (51891840).

Almost surely, 21441434132 is an apocalyptic number.

1441434132 is a gapful number since it is divisible by the number (12) 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 1441434132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868106240).

1441434132 is an abundant number, since it is smaller than the sum of its proper divisors (2294778348).

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

1441434132 is a wasteful number, since it uses less digits than its factorization.

1441434132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 2008 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 1441434132 is about 37966.2235677977. The cubic root of 1441434132 is about 1129.6179907979.

Adding to 1441434132 its reverse (2314341441), we get a palindrome (3755775573).

The spelling of 1441434132 in words is "one billion, four hundred forty-one million, four hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 809 1151 1548 1618 2302 2427 3236 3453 4604 4854 6906 7281 9708 10359 13812 14562 20718 29124 34787 41436 49493 69574 98986 104361 139148 148479 197972 208722 296958 313083 417444 445437 593916 626166 890874 931159 1252332 1781748 1862318 2793477 3724636 5586954 8380431 11173908 16760862 33521724 40039837 80079674 120119511 160159348 240239022 360358533 480478044 720717066 1441434132