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44424000404000 = 255371586571443
BaseRepresentation
bin10100001100111010001001…
…10000110111101000100000
312211021220002222011221010022
422012131010300313220200
521310320323100412000
6234252034250253012
712233346100033160
oct1206350460675040
9184256088157108
1044424000404000
1113178127107868
124b95803a27168
131ba321c10c6c9
14ad81c12c05a0
15520884641585
hex286744c37a20

44424000404000 has 96 divisors (see below), whose sum is σ = 124742593213056. Its totient is φ = 15231085843200.

The previous prime is 44424000403987. The next prime is 44424000404029. The reversal of 44424000404000 is 40400042444.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 793257722 + ... + 793313721.

It is an arithmetic number, because the mean of its divisors is an integer number (1299402012636).

Almost surely, 244424000404000 is an apocalyptic number.

44424000404000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44424000404000 is an abundant number, since it is smaller than the sum of its proper divisors (80318592809056).

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

44424000404000 is a wasteful number, since it uses less digits than its factorization.

44424000404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586571475 (or 1586571457 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 44424000404000 its reverse (40400042444), we get a palindrome (44464400446444).

The spelling of 44424000404000 in words is "forty-four trillion, four hundred twenty-four billion, four hundred four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 14000 28000 1586571443 3173142886 6346285772 7932857215 11106000101 12692571544 15865714430 22212000202 25385143088 31731428860 39664286075 44424000404 50770286176 55530000505 63462857720 79328572150 88848000808 111060001010 126925715440 158657144300 177696001616 198321430375 222120002020 253851430880 277650002525 317314288600 355392003232 396642860750 444240004040 555300005050 634628577200 793285721500 888480008080 1110600010100 1269257154400 1388250012625 1586571443000 1776960016160 2221200020200 2776500025250 3173142886000 4442400040400 5553000050500 6346285772000 8884800080800 11106000101000 22212000202000 44424000404000