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440014500 = 223253277353
BaseRepresentation
bin11010001110100…
…001011010100100
31010122222001102100
4122032201122210
51400120431000
6111355012100
713622030052
oct3216413244
91118861370
10440014500
11206416452
1210343a030
1370211913
144261d1d2
1528969a00
hex1a3a16a4

440014500 has 144 divisors (see below), whose sum is σ = 1397056752. Its totient is φ = 116582400.

The previous prime is 440014489. The next prime is 440014511. The reversal of 440014500 is 5410044.

It is an interprime number because it is at equal distance from previous prime (440014489) and next prime (440014511).

It can be written as a sum of positive squares in 8 ways, for example, as 240188004 + 199826496 = 15498^2 + 14136^2 .

It is a super-2 number, since 2×4400145002 = 387225520420500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1246324 + ... + 1246676.

It is an arithmetic number, because the mean of its divisors is an integer number (9701783).

Almost surely, 2440014500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440014500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698528376).

440014500 is an abundant number, since it is smaller than the sum of its proper divisors (957042252).

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

440014500 is a wasteful number, since it uses less digits than its factorization.

440014500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 440014500 is about 20976.5225907442. The cubic root of 440014500 is about 760.5988470318.

Adding to 440014500 its reverse (5410044), we get a palindrome (445424544).

The spelling of 440014500 in words is "four hundred forty million, fourteen thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 277 300 353 375 450 500 554 706 750 831 900 1059 1108 1125 1385 1412 1500 1662 1765 2118 2250 2493 2770 3177 3324 3530 4155 4236 4500 4986 5295 5540 6354 6925 7060 8310 8825 9972 10590 12465 12708 13850 15885 16620 17650 20775 21180 24930 26475 27700 31770 34625 35300 41550 44125 49860 52950 62325 63540 69250 79425 83100 88250 97781 103875 105900 124650 132375 138500 158850 176500 195562 207750 249300 264750 293343 311625 317700 391124 397125 415500 488905 529500 586686 623250 794250 880029 977810 1173372 1246500 1466715 1588500 1760058 1955620 2444525 2933430 3520116 4400145 4889050 5866860 7333575 8800290 9778100 12222625 14667150 17600580 22000725 24445250 29334300 36667875 44001450 48890500 73335750 88002900 110003625 146671500 220007250 440014500