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21440243040 = 253523284437
BaseRepresentation
bin10011111101111100…
…000010010101100000
32001100012121012021120
4103331330002111200
5322402200234130
613503254452240
71356211026126
oct237574022540
961305535246
1021440243040
119102504a27
1241a4364080
132038ba6758
1410756b1916
1585740e910
hex4fdf02560

21440243040 has 144 divisors (see below), whose sum is σ = 70601651568. Its totient is φ = 5468750848.

The previous prime is 21440242969. The next prime is 21440243053. The reversal of 21440243040 is 4034204412.

It is a happy number.

It is a super-2 number, since 2×214402430402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21440243040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211702 + ... + 296138.

It is an arithmetic number, because the mean of its divisors is an integer number (490289247).

Almost surely, 221440243040 is an apocalyptic number.

21440243040 is a gapful number since it is divisible by the number (20) 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 21440243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35300825784).

21440243040 is an abundant number, since it is smaller than the sum of its proper divisors (49161408528).

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

21440243040 is a wasteful number, since it uses less digits than its factorization.

21440243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84501 (or 84470 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 21440243040 its reverse (4034204412), we get a palindrome (25474447452).

The spelling of 21440243040 in words is "twenty-one billion, four hundred forty million, two hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 529 552 690 736 920 1058 1104 1380 1587 1840 2116 2208 2645 2760 3174 3680 4232 5290 5520 6348 7935 8464 10580 11040 12696 15870 16928 21160 25392 31740 42320 50784 63480 84437 84640 126960 168874 253311 253920 337748 422185 506622 675496 844370 1013244 1266555 1350992 1688740 1942051 2026488 2533110 2701984 3377480 3884102 4052976 5066220 5826153 6754960 7768204 8105952 9710255 10132440 11652306 13509920 15536408 19420510 20264880 23304612 29130765 31072816 38841020 40529760 44667173 46609224 58261530 62145632 77682040 89334346 93218448 116523060 134001519 155364080 178668692 186436896 223335865 233046120 268003038 310728160 357337384 446671730 466092240 536006076 670007595 714674768 893343460 932184480 1072012152 1340015190 1429349536 1786686920 2144024304 2680030380 3573373840 4288048608 5360060760 7146747680 10720121520 21440243040