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2044220420440 = 235112521810671
BaseRepresentation
bin11101101111110101000…
…010000011000101011000
321020102111020100221220201
4131233311002003011120
5231443030411423230
64203034002031544
7300455454606442
oct35576502030530
97212436327821
102044220420440
11718a49153200
122902253485b4
1311a9ccac2223
1470d2578b492
15382952795ca
hex1dbf5083158

2044220420440 has 96 divisors (see below), whose sum is σ = 5065354284480. Its totient is φ = 741925184000.

The previous prime is 2044220420401. The next prime is 2044220420467. The reversal of 2044220420440 is 440240224402.

It is a junction number, because it is equal to n+sod(n) for n = 2044220420399 and 2044220420408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2116305 + ... + 2926975.

It is an arithmetic number, because the mean of its divisors is an integer number (52764107130).

Almost surely, 22044220420440 is an apocalyptic number.

2044220420440 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 2044220420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532677142240).

2044220420440 is an abundant number, since it is smaller than the sum of its proper divisors (3021133864040).

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

2044220420440 is a wasteful number, since it uses less digits than its factorization.

2044220420440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811225 (or 811210 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 2044220420440 its reverse (440240224402), we get a palindrome (2484460644842).

The spelling of 2044220420440 in words is "two trillion, forty-four billion, two hundred twenty million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 521 605 968 1042 1210 2084 2420 2605 4168 4840 5210 5731 10420 11462 20840 22924 28655 45848 57310 63041 114620 126082 229240 252164 315205 504328 630410 810671 1260820 1621342 2521640 3242684 4053355 6485368 8106710 8917381 16213420 17834762 32426840 35669524 44586905 71339048 89173810 98091191 178347620 196182382 356695240 392364764 422359591 490455955 784729528 844719182 980911910 1689438364 1961823820 2111797955 3378876728 3923647640 4223595910 4645955501 8447191820 9291911002 16894383640 18583822004 23229777505 37167644008 46459555010 51105510511 92919110020 102211021022 185838220040 204422042044 255527552555 408844084088 511055105110 1022110210220 2044220420440