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1441287000 = 23335353381
BaseRepresentation
bin101010111101000…
…0100101101011000
310201110000222002000
41111322010231120
510422432141000
6355003441000
750500510626
oct12572045530
93643028060
101441287000
1167a62928a
12342826160
1319c7a605a
14d95bc516
15867ed000
hex55e84b58

1441287000 has 128 divisors (see below), whose sum is σ = 4996555200. Its totient is φ = 384336000.

The previous prime is 1441286963. The next prime is 1441287031. The reversal of 1441287000 is 7821441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310 + ... + 53690.

Almost surely, 21441287000 is an apocalyptic number.

1441287000 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 1441287000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498277600).

1441287000 is an abundant number, since it is smaller than the sum of its proper divisors (3555268200).

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

1441287000 is a wasteful number, since it uses less digits than its factorization.

1441287000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53411 (or 53391 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1441287000 is about 37964.2858486763. The cubic root of 1441287000 is about 1129.5795548621.

The spelling of 1441287000 in words is "one billion, four hundred forty-one million, two hundred eighty-seven thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 125 135 150 180 200 216 225 250 270 300 360 375 450 500 540 600 675 750 900 1000 1080 1125 1350 1500 1800 2250 2700 3000 3375 4500 5400 6750 9000 13500 27000 53381 106762 160143 213524 266905 320286 427048 480429 533810 640572 800715 960858 1067620 1281144 1334525 1441287 1601430 1921716 2135240 2402145 2669050 2882574 3202860 3843432 4003575 4804290 5338100 5765148 6405720 6672625 7206435 8007150 9608580 10676200 11530296 12010725 13345250 14412870 16014300 19217160 20017875 24021450 26690500 28825740 32028600 36032175 40035750 48042900 53381000 57651480 60053625 72064350 80071500 96085800 120107250 144128700 160143000 180160875 240214500 288257400 360321750 480429000 720643500 1441287000