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12343444444000 = 25536907446773
BaseRepresentation
bin1011001110011110111010…
…0111110001001101100000
31121201000120212101112221001
42303213232213301031200
53104213333234202000
642130300004241344
72412533026430425
oct263475647611540
947630525345831
1012343444444000
113a2990966097a
1214742aa6a0254
136b6c9c088097
143095d6947d4c
1516613469c46a
hexb39ee9f1360

12343444444000 has 96 divisors (see below), whose sum is σ = 30332301775776. Its totient is φ = 4936651891200.

The previous prime is 12343444443991. The next prime is 12343444444007. The reversal of 12343444444000 is 44444434321.

It is a super-2 number, since 2×123434444440002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12343444444007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27404614 + ... + 27851386.

It is an arithmetic number, because the mean of its divisors is an integer number (315961476831).

Almost surely, 212343444444000 is an apocalyptic number.

12343444444000 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 12343444444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15166150887888).

12343444444000 is an abundant number, since it is smaller than the sum of its proper divisors (17988857331776).

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

12343444444000 is an equidigital number, since it uses as much as digits as its factorization.

12343444444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453705 (or 453687 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 37.

Adding to 12343444444000 its reverse (44444434321), we get a palindrome (12387888878321).

The spelling of 12343444444000 in words is "twelve trillion, three hundred forty-three billion, four hundred forty-four million, four hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 6907 13814 27628 34535 55256 69070 110512 138140 172675 221024 276280 345350 446773 552560 690700 863375 893546 1105120 1381400 1726750 1787092 2233865 2762800 3453500 3574184 4467730 5525600 6907000 7148368 8935460 11169325 13814000 14296736 17870920 22338650 27628000 35741840 44677300 55846625 71483680 89354600 111693250 178709200 223386500 357418400 446773000 893546000 1787092000 3085861111 6171722222 12343444444 15429305555 24686888888 30858611110 49373777776 61717222220 77146527775 98747555552 123434444440 154293055550 246868888880 308586111100 385732638875 493737777760 617172222200 771465277750 1234344444400 1542930555500 2468688888800 3085861111000 6171722222000 12343444444000