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12043031440 = 2451119898093
BaseRepresentation
bin10110011011101001…
…00001001110010000
31011002022002101101111
423031310201032100
5144131004001230
65311003543104
7604303035556
oct131564411620
934068071344
1012043031440
11511aa82850
12240122aa94
13119c05010b
1482361dbd6
154a742092a
hex2cdd21390

12043031440 has 160 divisors (see below), whose sum is σ = 32518454400. Its totient is φ = 4101672960.

The previous prime is 12043031419. The next prime is 12043031447. The reversal of 12043031440 is 4413034021.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (12043031447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1484034 + ... + 1492126.

It is an arithmetic number, because the mean of its divisors is an integer number (203240340).

Almost surely, 212043031440 is an apocalyptic number.

12043031440 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 12043031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16259227200).

12043031440 is an abundant number, since it is smaller than the sum of its proper divisors (20475422960).

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

12043031440 is a wasteful number, since it uses less digits than its factorization.

12043031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8225 (or 8219 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 12043031440 its reverse (4413034021), we get a palindrome (16456065461).

The spelling of 12043031440 in words is "twelve billion, forty-three million, thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 89 95 110 152 176 178 190 209 220 304 356 380 418 440 445 712 760 836 880 890 979 1045 1424 1520 1672 1691 1780 1958 2090 3344 3382 3560 3916 4180 4895 6764 7120 7832 8093 8360 8455 9790 13528 15664 16186 16720 16910 18601 19580 27056 32372 33820 37202 39160 40465 64744 67640 74404 78320 80930 89023 93005 129488 135280 148808 153767 161860 178046 186010 297616 307534 323720 356092 372020 445115 615068 647440 712184 720277 744040 768835 890230 1230136 1424368 1440554 1488080 1537670 1691437 1780460 2460272 2881108 3075340 3382874 3560920 3601385 5762216 6150680 6765748 7121840 7202770 7923047 8457185 11524432 12301360 13531496 13685263 14405540 15846094 16914370 27062992 27370526 28811080 31692188 33828740 39615235 54741052 57622160 63384376 67657480 68426315 79230470 109482104 126768752 135314960 136852630 150537893 158460940 218964208 273705260 301075786 316921880 547410520 602151572 633843760 752689465 1094821040 1204303144 1505378930 2408606288 3010757860 6021515720 12043031440