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43141300224 = 2183114987
BaseRepresentation
bin101000001011011011…
…000000000000000000
311010100120222010022020
4220023123000000000
51201323133101344
631452511441440
73055040000331
oct501333000000
9133316863266
1043141300224
1117329159430
12843bb26280
1340b6b0aba9
142133876288
1511c768c719
hexa0b6c0000

43141300224 has 152 divisors (see below), whose sum is σ = 125526890688. Its totient is φ = 13070499840.

The previous prime is 43141300171. The next prime is 43141300243. The reversal of 43141300224 is 42200314134.

It is a super-2 number, since 2×431413002242 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 43141300194 and 43141300203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8648259 + ... + 8653245.

Almost surely, 243141300224 is an apocalyptic number.

43141300224 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 43141300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62763445344).

43141300224 is an abundant number, since it is smaller than the sum of its proper divisors (82385590464).

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

43141300224 is an frugal number, since it uses more digits than its factorization.

43141300224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5037 (or 5003 counting only the distinct ones).

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

Adding to 43141300224 its reverse (42200314134), we get a palindrome (85341614358).

The spelling of 43141300224 in words is "forty-three billion, one hundred forty-one million, three hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4096 4224 4987 5632 6144 8192 8448 9974 11264 12288 14961 16384 16896 19948 22528 24576 29922 32768 33792 39896 45056 49152 54857 59844 65536 67584 79792 90112 98304 109714 119688 131072 135168 159584 164571 180224 196608 219428 239376 262144 270336 319168 329142 360448 393216 438856 478752 540672 638336 658284 720896 786432 877712 957504 1081344 1276672 1316568 1441792 1755424 1915008 2162688 2553344 2633136 2883584 3510848 3830016 4325376 5106688 5266272 7021696 7660032 8650752 10213376 10532544 14043392 15320064 20426752 21065088 28086784 30640128 40853504 42130176 56173568 61280256 81707008 84260352 112347136 122560512 163414016 168520704 224694272 245121024 326828032 337041408 449388544 490242048 653656064 674082816 898777088 980484096 1307312128 1348165632 1797554176 1960968192 2696331264 3595108352 3921936384 5392662528 7190216704 10785325056 14380433408 21570650112 43141300224