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1444155100 = 2252171276689
BaseRepresentation
bin101011000010100…
…0000111011011100
310201122102200100221
41112011000323130
510424200430400
6355145131124
750534054503
oct12605007334
93648380327
101444155100
11681208113
12343789aa4
131a026b65b
14d9b2783a
1586bb7c1a
hex56140edc

1444155100 has 72 divisors (see below), whose sum is σ = 3344785920. Its totient is φ = 539320320.

The previous prime is 1444155067. The next prime is 1444155127. The reversal of 1444155100 is 15514441.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 212556 + ... + 219244.

It is an arithmetic number, because the mean of its divisors is an integer number (46455360).

Almost surely, 21444155100 is an apocalyptic number.

1444155100 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 1444155100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672392960).

1444155100 is an abundant number, since it is smaller than the sum of its proper divisors (1900630820).

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

1444155100 is a wasteful number, since it uses less digits than its factorization.

1444155100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6847 (or 6840 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 1444155100 is about 38002.0407346763. The cubic root of 1444155100 is about 1130.3283302060.

Adding to 1444155100 its reverse (15514441), we get a palindrome (1459669541).

The spelling of 1444155100 in words is "one billion, four hundred forty-four million, one hundred fifty-five thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 127 170 254 340 425 508 635 850 1270 1700 2159 2540 3175 4318 6350 6689 8636 10795 12700 13378 21590 26756 33445 43180 53975 66890 107950 113713 133780 167225 215900 227426 334450 454852 568565 668900 849503 1137130 1699006 2274260 2842825 3398012 4247515 5685650 8495030 11371300 14441551 16990060 21237575 28883102 42475150 57766204 72207755 84950300 144415510 288831020 361038775 722077550 1444155100