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1444404100 = 225257725033
BaseRepresentation
bin101011000010111…
…1101101110000100
310201122220022221011
41112011331232010
510424231412400
6355154332004
750536142446
oct12605755604
93648808834
101444404100
116813681a7
1234388a004
131a0327aa9
14d9b90496
1586c168ba
hex5617db84

1444404100 has 36 divisors (see below), whose sum is σ = 3139914484. Its totient is φ = 576737280.

The previous prime is 1444404089. The next prime is 1444404103. The reversal of 1444404100 is 14044441.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1012036 + 1443392064 = 1006^2 + 37992^2 .

It is not an unprimeable number, because it can be changed into a prime (1444404103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45184 + ... + 70216.

Almost surely, 21444404100 is an apocalyptic number.

1444404100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444404100 is an abundant number, since it is smaller than the sum of its proper divisors (1695510384).

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

1444404100 is a wasteful number, since it uses less digits than its factorization.

1444404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25624 (or 25617 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 1444404100 is about 38005.3167333204. The cubic root of 1444404100 is about 1130.3932898907.

Adding to 1444404100 its reverse (14044441), we get a palindrome (1458448541).

The spelling of 1444404100 in words is "one billion, four hundred forty-four million, four hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 577 1154 2308 2885 5770 11540 14425 25033 28850 50066 57700 100132 125165 250330 500660 625825 1251650 2503300 14444041 28888082 57776164 72220205 144440410 288880820 361101025 722202050 1444404100