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10043212440 = 23354313714207
BaseRepresentation
bin10010101101001111…
…10100001010011000
3221220221002001110010
421112213310022120
5131032030244230
64340324521520
7503610616512
oct112647641230
927827061403
1010043212440
11429414a178
121b435502a0
13c4093a271
146b3bb0bb2
153dba969b0
hex2569f4298

10043212440 has 128 divisors (see below), whose sum is σ = 31057551360. Its totient is φ = 2596629504.

The previous prime is 10043212373. The next prime is 10043212511. The reversal of 10043212440 is 4421234001.

It is a super-2 number, since 2×100432124402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 699817 + ... + 714023.

It is an arithmetic number, because the mean of its divisors is an integer number (242637120).

Almost surely, 210043212440 is an apocalyptic number.

10043212440 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 10043212440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15528775680).

10043212440 is an abundant number, since it is smaller than the sum of its proper divisors (21014338920).

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

10043212440 is a wasteful number, since it uses less digits than its factorization.

10043212440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14401 (or 14397 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10043212440 its reverse (4421234001), we get a palindrome (14464446441).

The spelling of 10043212440 in words is "ten billion, forty-three million, two hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 137 172 215 258 274 344 411 430 516 548 645 685 822 860 1032 1096 1290 1370 1644 1720 2055 2580 2740 3288 4110 5160 5480 5891 8220 11782 14207 16440 17673 23564 28414 29455 35346 42621 47128 56828 58910 70692 71035 85242 88365 113656 117820 141384 142070 170484 176730 213105 235640 284140 340968 353460 426210 568280 610901 706920 852420 1221802 1704840 1832703 1946359 2443604 3054505 3665406 3892718 4887208 5839077 6109010 7330812 7785436 9163515 9731795 11678154 12218020 14661624 15570872 18327030 19463590 23356308 24436040 29195385 36654060 38927180 46712616 58390770 73308120 77854360 83693437 116781540 167386874 233563080 251080311 334773748 418467185 502160622 669547496 836934370 1004321244 1255401555 1673868740 2008642488 2510803110 3347737480 5021606220 10043212440