Search a number
-
+
1442414424 = 233116019091
BaseRepresentation
bin101010111111001…
…0111111101011000
310201112011020121110
41111332113331120
510423224230144
6355043540320
750513214603
oct12576277530
93645136543
101442414424
11680229340
1234308a6a0
1319caac279
14d97d333a
15869720b9
hex55f97f58

1442414424 has 64 divisors (see below), whose sum is σ = 3940836480. Its totient is φ = 436320000.

The previous prime is 1442414417. The next prime is 1442414429. The reversal of 1442414424 is 4244142441.

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 = 1442414391 and 1442414400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442414429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154119 + ... + 163209.

It is an arithmetic number, because the mean of its divisors is an integer number (61575570).

Almost surely, 21442414424 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 1442414424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970418240).

1442414424 is an abundant number, since it is smaller than the sum of its proper divisors (2498422056).

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

1442414424 is a wasteful number, since it uses less digits than its factorization.

1442414424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9712 (or 9708 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

The square root of 1442414424 is about 37979.1314276670. The cubic root of 1442414424 is about 1129.8740100219.

Adding to 1442414424 its reverse (4244142441), we get a palindrome (5686556865).

The spelling of 1442414424 in words is "one billion, four hundred forty-two million, four hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 601 1202 1803 2404 3606 4808 6611 7212 9091 13222 14424 18182 19833 26444 27273 36364 39666 52888 54546 72728 79332 100001 109092 158664 200002 218184 300003 400004 600006 800008 1200012 2400024 5463691 10927382 16391073 21854764 32782146 43709528 60100601 65564292 120201202 131128584 180301803 240402404 360603606 480804808 721207212 1442414424