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43130022144 = 28311342193
BaseRepresentation
bin101000001010101111…
…111110100100000000
311010022210202010200120
4220022233332210000
51201312241202034
631451430020240
73054542065536
oct501257764400
9133283663616
1043130022144
1117322856000
1284381a7680
1340b468c681
14213217c156
1511c66b0c49
hexa0abfe900

43130022144 has 144 divisors (see below), whose sum is σ = 126262000704. Its totient is φ = 13069393920.

The previous prime is 43130022121. The next prime is 43130022161. The reversal of 43130022144 is 44122003134.

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

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, 1001112 + ... + 1043304.

Almost surely, 243130022144 is an apocalyptic number.

43130022144 is a gapful number since it is divisible by the number (44) 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 43130022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63131000352).

43130022144 is an abundant number, since it is smaller than the sum of its proper divisors (83131978560).

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

43130022144 is an equidigital number, since it uses as much as digits as its factorization.

43130022144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42245 (or 42209 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 43130022144 its reverse (44122003134), we get a palindrome (87252025278).

The spelling of 43130022144 in words is "forty-three billion, one hundred thirty million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 528 704 726 768 968 1056 1331 1408 1452 1936 2112 2662 2816 2904 3872 3993 4224 5324 5808 7744 7986 8448 10648 11616 15488 15972 21296 23232 30976 31944 42193 42592 46464 63888 84386 85184 92928 126579 127776 168772 170368 253158 255552 337544 340736 464123 506316 511104 675088 928246 1012632 1022208 1350176 1392369 1856492 2025264 2700352 2784738 3712984 4050528 5105353 5400704 5569476 7425968 8101056 10210706 10801408 11138952 14851936 15316059 16202112 20421412 22277904 29703872 30632118 32404224 40842824 44555808 56158883 59407744 61264236 81685648 89111616 112317766 118815488 122528472 163371296 168476649 178223232 224635532 245056944 326742592 336953298 356446464 449271064 490113888 653485184 673906596 898542128 980227776 1306970368 1347813192 1797084256 1960455552 2695626384 3594168512 3920911104 5391252768 7188337024 10782505536 14376674048 21565011072 43130022144