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1444210100 = 225273197837
BaseRepresentation
bin101011000010100…
…1110010110110100
310201122112110210222
41112011032112310
510424204210400
6355150233512
750534404034
oct12605162664
93648473728
101444210100
11681245473
123437b5898
131a028a6b8
14d9b3d8c4
1586bc9185
hex5614e5b4

1444210100 has 36 divisors (see below), whose sum is σ = 3176882604. Its totient is φ = 569767680.

The previous prime is 1444210087. The next prime is 1444210111. The reversal of 1444210100 is 10124441.

It can be written as a sum of positive squares in 6 ways, for example, as 78464164 + 1365745936 = 8858^2 + 36956^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91619 + ... + 106218.

It is an arithmetic number, because the mean of its divisors is an integer number (88246739).

Almost surely, 21444210100 is an apocalyptic number.

1444210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444210100 is an abundant number, since it is smaller than the sum of its proper divisors (1732672504).

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

1444210100 is a wasteful number, since it uses less digits than its factorization.

1444210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197924 (or 197917 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1444210100 is about 38002.7643731348. The cubic root of 1444210100 is about 1130.3426793732.

Adding to 1444210100 its reverse (10124441), we get a palindrome (1454334541).

It can be divided in two parts, 14442 and 10100, that added together give a palindrome (24542).

The spelling of 1444210100 in words is "one billion, four hundred forty-four million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 7300 197837 395674 791348 989185 1978370 3956740 4945925 9891850 14442101 19783700 28884202 57768404 72210505 144421010 288842020 361052525 722105050 1444210100