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1022443101440 = 2851549515677
BaseRepresentation
bin11101110000011100101…
…10111001110100000000
310121202002211002002212022
432320032112321310000
5113222430413221230
62101412012021012
7133604043652445
oct16701626716400
93552084062768
101022443101440
11364685526212
121461a6161768
1375553b70517
14376b4dab9cc
151b8e1c1e1e5
hexee0e5b9d00

1022443101440 has 72 divisors (see below), whose sum is σ = 2450656559400. Its totient is φ = 408712421376.

The previous prime is 1022443101431. The next prime is 1022443101451. The reversal of 1022443101440 is 441013442201.

It can be written as a sum of positive squares in 4 ways, for example, as 211953427456 + 810489673984 = 460384^2 + 900272^2 .

It is a super-2 number, since 2×10224431014402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1724882 + ... + 2240558.

Almost surely, 21022443101440 is an apocalyptic number.

1022443101440 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 1022443101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225328279700).

1022443101440 is an abundant number, since it is smaller than the sum of its proper divisors (1428213457960).

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

1022443101440 is an equidigital number, since it uses as much as digits as its factorization.

1022443101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517247 (or 517233 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 1022443101440 its reverse (441013442201), we get a palindrome (1463456543641).

The spelling of 1022443101440 in words is "one trillion, twenty-two billion, four hundred forty-three million, one hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1549 3098 6196 7745 12392 15490 24784 30980 49568 61960 99136 123920 198272 247840 396544 495680 515677 991360 1031354 1982720 2062708 2578385 4125416 5156770 8250832 10313540 16501664 20627080 33003328 41254160 66006656 82508320 132013312 165016640 330033280 660066560 798783673 1597567346 3195134692 3993918365 6390269384 7987836730 12780538768 15975673460 25561077536 31951346920 51122155072 63902693840 102244310144 127805387680 204488620288 255610775360 511221550720 1022443101440