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4420424000000 = 2956552553
BaseRepresentation
bin100000001010011010111…
…0011010110001000000000
3120122120212221121202211102
41000110311303112020000
51034411012021000000
613222414215233532
7634236141021461
oct100246563261000
916576787552742
104420424000000
111454767120508
125b485b0788a8
13260ac8906c78
14113d41c38d68
1579eba9743d5
hex40535cd6200

4420424000000 has 140 divisors (see below), whose sum is σ = 11040146614002. Its totient is φ = 1768166400000.

The previous prime is 4420423999877. The next prime is 4420424000039. The reversal of 4420424000000 is 4240244.

It can be written as a sum of positive squares in 7 ways, for example, as 2826325844224 + 1594098155776 = 1681168^2 + 1262576^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7723724 + ... + 8276276.

Almost surely, 24420424000000 is an apocalyptic number.

4420424000000 is a gapful number since it is divisible by the number (40) 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 4420424000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5520073307001).

4420424000000 is an abundant number, since it is smaller than the sum of its proper divisors (6619722614002).

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

4420424000000 is an frugal number, since it uses more digits than its factorization.

4420424000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552601 (or 552560 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 4420424000000 its reverse (4240244), we get a palindrome (4420428240244).

The spelling of 4420424000000 in words is "four trillion, four hundred twenty billion, four hundred twenty-four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 6250 6400 8000 10000 12500 12800 15625 16000 20000 25000 31250 32000 40000 50000 62500 64000 80000 100000 125000 160000 200000 250000 320000 400000 500000 552553 800000 1000000 1105106 1600000 2000000 2210212 2762765 4000000 4420424 5525530 8000000 8840848 11051060 13813825 17681696 22102120 27627650 35363392 44204240 55255300 69069125 70726784 88408480 110510600 138138250 141453568 176816960 221021200 276276500 282907136 345345625 353633920 442042400 552553000 690691250 707267840 884084800 1105106000 1381382500 1414535680 1726728125 1768169600 2210212000 2762765000 3453456250 3536339200 4420424000 5525530000 6906912500 7072678400 8633640625 8840848000 11051060000 13813825000 17267281250 17681696000 22102120000 27627650000 34534562500 35363392000 44204240000 55255300000 69069125000 88408480000 110510600000 138138250000 176816960000 221021200000 276276500000 442042400000 552553000000 884084800000 1105106000000 2210212000000 4420424000000