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4405223013440 = 265101346339359
BaseRepresentation
bin100000000011010101111…
…0000001011110001000000
3120121010122120021122102012
41000012223300023301000
51034133344042412230
613211422001312052
7633160350535424
oct100065360136100
916533576248365
104405223013440
1114492766022a7
125b1918335628
1325c545549872
141132dd056b84
15798cb1ad395
hex401abc0bc40

4405223013440 has 112 divisors (see below), whose sum is σ = 10597126440960. Its totient is φ = 1744094668800.

The previous prime is 4405223013437. The next prime is 4405223013467. The reversal of 4405223013440 is 443103225044.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4405223013397 and 4405223013406.

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, 111904481 + ... + 111943839.

Almost surely, 24405223013440 is an apocalyptic number.

4405223013440 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 4405223013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298563220480).

4405223013440 is an abundant number, since it is smaller than the sum of its proper divisors (6191903427520).

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

4405223013440 is a wasteful number, since it uses less digits than its factorization.

4405223013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42940 (or 42930 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 4405223013440 its reverse (443103225044), we get a palindrome (4848326238484).

The spelling of 4405223013440 in words is "four trillion, four hundred five billion, two hundred twenty-three million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 160 202 320 404 505 808 1010 1616 2020 3232 3463 4040 6464 6926 8080 13852 16160 17315 27704 32320 34630 39359 55408 69260 78718 110816 138520 157436 196795 221632 277040 314872 349763 393590 554080 629744 699526 787180 1108160 1259488 1399052 1574360 1748815 2518976 2798104 3148720 3497630 3975259 5596208 6297440 6995260 7950518 11192416 12594880 13990520 15901036 19876295 22384832 27981040 31802072 39752590 55962080 63604144 79505180 111924160 127208288 136300217 159010360 254416576 272600434 318020720 545200868 636041440 681501085 1090401736 1272082880 1363002170 2180803472 2726004340 4361606944 5452008680 8723213888 10904017360 13766321917 21808034720 27532643834 43616069440 55065287668 68831609585 110130575336 137663219170 220261150672 275326438340 440522301344 550652876680 881044602688 1101305753360 2202611506720 4405223013440