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1444221240 = 23357111491049
BaseRepresentation
bin101011000010101…
…0001000100111000
310201122120001002120
41112011101010320
510424210034430
6355150401240
750534451360
oct12605210470
93648501076
101444221240
11681252880
12343800220
131a02927a7
14d9b439a0
1586bcc610
hex56151138

1444221240 has 256 divisors, whose sum is σ = 5443200000. Its totient is φ = 297799680.

The previous prime is 1444221227. The next prime is 1444221241. The reversal of 1444221240 is 421224441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1444221240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444221241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1376236 + ... + 1377284.

It is an arithmetic number, because the mean of its divisors is an integer number (21262500).

Almost surely, 21444221240 is an apocalyptic number.

1444221240 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 1444221240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721600000).

1444221240 is an abundant number, since it is smaller than the sum of its proper divisors (3998978760).

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

1444221240 is a wasteful number, since it uses less digits than its factorization.

1444221240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 1444221240 is about 38002.9109411371. The cubic root of 1444221240 is about 1130.3455856874.

Adding to 1444221240 its reverse (421224441), we get a palindrome (1865445681).

The spelling of 1444221240 in words is "one billion, four hundred forty-four million, two hundred twenty-one thousand, two hundred forty".