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1444242100 = 2252761149227
BaseRepresentation
bin101011000010101…
…0110001010110100
310201122121002201011
41112011112022310
510424211221400
6355151042004
750534566240
oct12605261264
93648532634
101444242100
11681267514
12343810304
131a029c132
14d9b4b420
1586bd38ba
hex561562b4

1444242100 has 144 divisors (see below), whose sum is σ = 3681014400. Its totient is φ = 481651200.

The previous prime is 1444242091. The next prime is 1444242101. The reversal of 1444242100 is 12424441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444242101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6362187 + ... + 6362413.

It is an arithmetic number, because the mean of its divisors is an integer number (25562600).

Almost surely, 21444242100 is an apocalyptic number.

1444242100 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 1444242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840507200).

1444242100 is an abundant number, since it is smaller than the sum of its proper divisors (2236772300).

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

1444242100 is a wasteful number, since it uses less digits than its factorization.

1444242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 451 counting only the distinct ones).

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

The square root of 1444242100 is about 38003.1853928062. The cubic root of 1444242100 is about 1130.3510278119.

Adding to 1444242100 its reverse (12424441), we get a palindrome (1456666541).

The spelling of 1444242100 in words is "one billion, four hundred forty-four million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 61 70 100 122 140 149 175 227 244 298 305 350 427 454 596 610 700 745 854 908 1043 1135 1220 1490 1525 1589 1708 2086 2135 2270 2980 3050 3178 3725 4172 4270 4540 5215 5675 6100 6356 7450 7945 8540 9089 10430 10675 11350 13847 14900 15890 18178 20860 21350 22700 26075 27694 31780 33823 36356 39725 42700 45445 52150 55388 63623 67646 69235 79450 90890 96929 104300 127246 135292 138470 158900 169115 181780 193858 227225 236761 254492 276940 318115 338230 346175 387716 454450 473522 484645 636230 676460 692350 845575 908900 947044 969290 1183805 1272460 1384700 1590575 1691150 1938580 2063203 2367610 2423225 3181150 3382300 4126406 4735220 4846450 5919025 6362300 8252812 9692900 10316015 11838050 14442421 20632030 23676100 28884842 41264060 51580075 57769684 72212105 103160150 144424210 206320300 288848420 361060525 722121050 1444242100