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1444142100 = 2235243111949
BaseRepresentation
bin101011000010011…
…1101110000010100
310201122102000112110
41112010331300110
510424200021400
6355144551020
750534001552
oct12604756024
93648360473
101444142100
116811a9375
12343782470
131a026576b
14d9b22bd2
1586bb3e50
hex5613dc14

1444142100 has 72 divisors (see below), whose sum is σ = 4275594400. Its totient is φ = 376145280.

The previous prime is 1444142093. The next prime is 1444142113. The reversal of 1444142100 is 12414441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43075 + ... + 68874.

Almost surely, 21444142100 is an apocalyptic number.

1444142100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444142100 is an abundant number, since it is smaller than the sum of its proper divisors (2831452300).

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

1444142100 is a wasteful number, since it uses less digits than its factorization.

1444142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112009 (or 112002 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1444142100 is about 38001.8696908455. The cubic root of 1444142100 is about 1130.3249385314.

Adding to 1444142100 its reverse (12414441), we get a palindrome (1456556541).

The spelling of 1444142100 in words is "one billion, four hundred forty-four million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 2150 2580 3225 4300 6450 12900 111949 223898 335847 447796 559745 671694 1119490 1343388 1679235 2238980 2798725 3358470 4813807 5597450 6716940 8396175 9627614 11194900 14441421 16792350 19255228 24069035 28882842 33584700 48138070 57765684 72207105 96276140 120345175 144414210 240690350 288828420 361035525 481380700 722071050 1444142100