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1444255424000 = 295357139521
BaseRepresentation
bin10101000001000100010…
…101001101111000000000
312010001212122101021021122
4111001010111031320000
5142130313342032000
63023252022011412
7206225665356554
oct25010425157000
95101778337248
101444255424000
11507561598374
121b3aa6276b68
13a626749c2ac
144dc8c019864
152787d523085
hex1504454de00

1444255424000 has 160 divisors (see below), whose sum is σ = 3607739527392. Its totient is φ = 576675840000.

The previous prime is 1444255423991. The next prime is 1444255424107. The reversal of 1444255424000 is 4245524441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

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, 36524240 + ... + 36563760.

Almost surely, 21444255424000 is an apocalyptic number.

1444255424000 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 1444255424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803869763696).

1444255424000 is an abundant number, since it is smaller than the sum of its proper divisors (2163484103392).

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

1444255424000 is an frugal number, since it uses more digits than its factorization.

1444255424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40125 (or 40099 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 35.

The spelling of 1444255424000 in words is "one trillion, four hundred forty-four billion, two hundred fifty-five million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 571 640 800 1000 1142 1280 1600 2000 2284 2560 2855 3200 4000 4568 5710 6400 8000 9136 11420 12800 14275 16000 18272 22840 28550 32000 36544 39521 45680 57100 64000 71375 73088 79042 91360 114200 142750 146176 158084 182720 197605 228400 285500 292352 316168 365440 395210 456800 571000 632336 730880 790420 913600 988025 1142000 1264672 1461760 1580840 1827200 1976050 2284000 2529344 3161680 3654400 3952100 4568000 4940125 5058688 6323360 7308800 7904200 9136000 9880250 10117376 12646720 15808400 18272000 19760500 20234752 22566491 25293440 31616800 36544000 39521000 45132982 50586880 63233600 79042000 90265964 101173760 112832455 126467200 158084000 180531928 225664910 252934400 316168000 361063856 451329820 505868800 564162275 632336000 722127712 902659640 1128324550 1264672000 1444255424 1805319280 2256649100 2529344000 2820811375 2888510848 3610638560 4513298200 5641622750 5777021696 7221277120 9026596400 11283245500 11554043392 14442554240 18053192800 22566491000 28885108480 36106385600 45132982000 57770216960 72212771200 90265964000 144425542400 180531928000 288851084800 361063856000 722127712000 1444255424000