Search a number
-
+
1442314420 = 225298927941
BaseRepresentation
bin101010111110111…
…1111100010110100
310201111222011102121
41111331333202310
510423213030140
6355041445324
750512320211
oct12575774264
93644864377
101442314420
11680170198
12343040844
1319ca758b1
14d97a8b08
158695264a
hex55f7f8b4

1442314420 has 48 divisors (see below), whose sum is σ = 3168622800. Its totient is φ = 550753280.

The previous prime is 1442314417. The next prime is 1442314481. The reversal of 1442314420 is 244132441.

It can be written as a sum of positive squares in 8 ways, for example, as 75829264 + 1366485156 = 8708^2 + 36966^2 .

It is a super-2 number, since 2×14423144202 = 4160541772279872800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37650 + ... + 65590.

It is an arithmetic number, because the mean of its divisors is an integer number (66012975).

Almost surely, 21442314420 is an apocalyptic number.

1442314420 is a gapful number since it is divisible by the number (10) 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 1442314420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584311400).

1442314420 is an abundant number, since it is smaller than the sum of its proper divisors (1726308380).

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

1442314420 is a wasteful number, since it uses less digits than its factorization.

1442314420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28068 (or 28066 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 1442314420 is about 37977.8148397193. The cubic root of 1442314420 is about 1129.8478976624.

Adding to 1442314420 its reverse (244132441), we get a palindrome (1686446861).

The spelling of 1442314420 in words is "one billion, four hundred forty-two million, three hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 89 116 145 178 290 356 445 580 890 1780 2581 5162 10324 12905 25810 27941 51620 55882 111764 139705 279410 558820 810289 1620578 2486749 3241156 4051445 4973498 8102890 9946996 12433745 16205780 24867490 49734980 72115721 144231442 288462884 360578605 721157210 1442314420