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1440444500 = 225311229821
BaseRepresentation
bin101010111011011…
…0111000001010100
310201101110011101022
41111312313001110
510422223211000
6354533420312
750460401435
oct12566670124
93641404338
101440444500
1167a103300
1234249a698
1319c56c731
14d943d48c
15866d3585
hex55db7054

1440444500 has 144 divisors (see below), whose sum is σ = 3581519760. Its totient is φ = 505120000.

The previous prime is 1440444491. The next prime is 1440444559. The reversal of 1440444500 is 54440441.

It can be written as a sum of positive squares in 8 ways, for example, as 613651984 + 826792516 = 24772^2 + 28754^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1440444500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1754090 + ... + 1754910.

It is an arithmetic number, because the mean of its divisors is an integer number (24871665).

Almost surely, 21440444500 is an apocalyptic number.

1440444500 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 1440444500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790759880).

1440444500 is an abundant number, since it is smaller than the sum of its proper divisors (2141075260).

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

1440444500 is a wasteful number, since it uses less digits than its factorization.

1440444500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The square root of 1440444500 is about 37953.1882718699. The cubic root of 1440444500 is about 1129.3594145136.

Adding to 1440444500 its reverse (54440441), we get a palindrome (1494884941).

The spelling of 1440444500 in words is "one billion, four hundred forty million, four hundred forty-four thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 121 125 145 220 242 250 275 290 319 484 500 550 580 605 638 725 821 1100 1210 1276 1375 1450 1595 1642 2420 2750 2900 3025 3190 3284 3509 3625 4105 5500 6050 6380 7018 7250 7975 8210 9031 12100 14036 14500 15125 15950 16420 17545 18062 20525 23809 30250 31900 35090 36124 39875 41050 45155 47618 60500 70180 79750 82100 87725 90310 95236 99341 102625 119045 159500 175450 180620 198682 205250 225775 238090 261899 350900 397364 410500 438625 451550 476180 496705 523798 595225 877250 903100 993410 1047596 1128875 1190450 1309495 1754500 1986820 2257750 2380900 2483525 2618990 2880889 2976125 4515500 4967050 5237980 5761778 5952250 6547475 9934100 11523556 11904500 12417625 13094950 14404445 24835250 26189900 28808890 32737375 49670500 57617780 65474750 72022225 130949500 144044450 288088900 360111125 720222250 1440444500