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1444770450 = 2325219374567
BaseRepresentation
bin101011000011101…
…0111001010010010
310201200120221110200
41112013113022102
510424330123300
6355210240030
750542226514
oct12607271222
93650527420
101444770450
11681598472
12343a26016
131a0425776
14d9c47bb4
1586c8a200
hex561d7292

1444770450 has 144 divisors (see below), whose sum is σ = 4197261120. Its totient is φ = 355052160.

The previous prime is 1444770443. The next prime is 1444770493. The reversal of 1444770450 is 540774441.

It is a happy number.

1444770450 is a `hidden beast` number, since 144 + 477 + 0 + 45 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 314067 + ... + 318633.

Almost surely, 21444770450 is an apocalyptic number.

1444770450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444770450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098630560).

1444770450 is an abundant number, since it is smaller than the sum of its proper divisors (2752490670).

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

1444770450 is a wasteful number, since it uses less digits than its factorization.

1444770450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4641 (or 4633 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The square root of 1444770450 is about 38010.1361481382. The cubic root of 1444770450 is about 1130.4888505387.

The spelling of 1444770450 in words is "one billion, four hundred forty-four million, seven hundred seventy thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 37 38 45 50 57 74 75 90 95 111 114 150 171 185 190 222 225 285 333 342 370 450 475 555 570 666 703 855 925 950 1110 1406 1425 1665 1710 1850 2109 2775 2850 3330 3515 4218 4275 4567 5550 6327 7030 8325 8550 9134 10545 12654 13701 16650 17575 21090 22835 27402 31635 35150 41103 45670 52725 63270 68505 82206 86773 105450 114175 137010 158175 168979 173546 205515 228350 260319 316350 337958 342525 411030 433865 506937 520638 685050 780957 844895 867730 1013874 1027575 1301595 1520811 1561914 1689790 2055150 2169325 2534685 2603190 3041622 3210601 3904785 4224475 4338650 5069370 6421202 6507975 7604055 7809570 8448950 9631803 12673425 13015950 15208110 16053005 19263606 19523925 25346850 28895409 32106010 38020275 39047850 48159015 57790818 76040550 80265025 96318030 144477045 160530050 240795075 288954090 481590150 722385225 1444770450