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1444727000 = 23535327259
BaseRepresentation
bin101011000011100…
…1100100011011000
310201200111201212102
41112013030203120
510424322231000
6355205302532
750541656033
oct12607144330
93650451772
101444727000
11681568862
12343a04a48
131a040ba62
14d9c3601a
1586c7c3d5
hex561cc8d8

1444727000 has 64 divisors (see below), whose sum is σ = 3444573600. Its totient is φ = 566966400.

The previous prime is 1444726999. The next prime is 1444727027. The reversal of 1444727000 is 7274441.

It is a super-2 number, since 2×14447270002 = 4174472209058000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39371 + ... + 66629.

Almost surely, 21444727000 is an apocalyptic number.

1444727000 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 1444727000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722286800).

1444727000 is an abundant number, since it is smaller than the sum of its proper divisors (1999846600).

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

1444727000 is a wasteful number, since it uses less digits than its factorization.

1444727000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27333 (or 27319 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 29.

The square root of 1444727000 is about 38009.5645857724. The cubic root of 1444727000 is about 1130.4775176581.

The spelling of 1444727000 in words is "one billion, four hundred forty-four million, seven hundred twenty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 250 265 424 500 530 1000 1060 1325 2120 2650 5300 6625 10600 13250 26500 27259 53000 54518 109036 136295 218072 272590 545180 681475 1090360 1362950 1444727 2725900 2889454 3407375 5451800 5778908 6814750 7223635 11557816 13629500 14447270 27259000 28894540 36118175 57789080 72236350 144472700 180590875 288945400 361181750 722363500 1444727000