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44422440000224 = 25111323341663953
BaseRepresentation
bin10100001100110111001111…
…10000011001101011100000
312211021202002020000012112212
422012123213300121223200
521310304124120001344
6234251215345341252
712233262321600056
oct1206334760315340
9184252066005485
1044422440000224
11131774a6320370
124b95449337828
131ba3030a5b770
14ad80b3d761d6
155207e266479e
hex2866e7c19ae0

44422440000224 has 96 divisors (see below), whose sum is σ = 103187281657824. Its totient is φ = 18558790778880.

The previous prime is 44422440000217. The next prime is 44422440000311. The reversal of 44422440000224 is 42200004422444.

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

It is a congruent number.

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, 19765769 + ... + 21898184.

It is an arithmetic number, because the mean of its divisors is an integer number (1074867517269).

Almost surely, 244422440000224 is an apocalyptic number.

44422440000224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44422440000224 is an abundant number, since it is smaller than the sum of its proper divisors (58764841657600).

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

44422440000224 is a wasteful number, since it uses less digits than its factorization.

44422440000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41664220 (or 41664212 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 44422440000224 its reverse (42200004422444), we get a palindrome (86622444422668).

The spelling of 44422440000224 in words is "forty-four trillion, four hundred twenty-two billion, four hundred forty million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 233 286 352 416 466 572 932 1144 1864 2288 2563 3029 3728 4576 5126 6058 7456 10252 12116 20504 24232 33319 41008 48464 66638 82016 96928 133276 266552 533104 1066208 41663953 83327906 166655812 333311624 458303483 541631389 666623248 916606966 1083262778 1333246496 1833213932 2166525556 3666427864 4333051112 5957945279 7332855728 8666102224 9707701049 11915890558 14665711456 17332204448 19415402098 23831781116 38830804196 47663562232 77661608392 95327124464 106784711539 126200113637 155323216784 190654248928 213569423078 252400227274 310646433568 427138846156 504800454548 854277692312 1009600909096 1388201250007 1708555384624 2019201818192 2776402500014 3417110769248 4038403636384 5552805000028 11105610000056 22211220000112 44422440000224