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44424304200 = 2334522742241
BaseRepresentation
bin101001010111111001…
…010001011001001000
311020200000011110220000
4221113321101121020
51211440110213300
632224103003000
73131606232603
oct512771213110
9136600143800
1044424304200
11179273a82a1
128739739460
13425c874b43
14221601133a
151250121c00
hexa57e51648

44424304200 has 120 divisors (see below), whose sum is σ = 154292246130. Its totient is φ = 11846476800.

The previous prime is 44424304097. The next prime is 44424304213. The reversal of 44424304200 is 240342444.

It is a happy number.

44424304200 is a `hidden beast` number, since 4 + 4 + 424 + 30 + 4 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 33834659364 + 10589644836 = 183942^2 + 102906^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1354921 + ... + 1387320.

Almost surely, 244424304200 is an apocalyptic number.

44424304200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44424304200 is an abundant number, since it is smaller than the sum of its proper divisors (109867941930).

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

44424304200 is a wasteful number, since it uses less digits than its factorization.

44424304200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742269 (or 2742251 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 44424304200 its reverse (240342444), we get a palindrome (44664646644).

The spelling of 44424304200 in words is "forty-four billion, four hundred twenty-four million, three hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1800 2025 2700 3240 4050 5400 8100 16200 2742241 5484482 8226723 10968964 13711205 16453446 21937928 24680169 27422410 32906892 41133615 49360338 54844820 65813784 68556025 74040507 82267230 98720676 109689640 123400845 137112050 148081014 164534460 197441352 205668075 222121521 246801690 274224100 296162028 329068920 370202535 411336150 444243042 493603380 548448200 592324056 617004225 740405070 822672300 888486084 987206760 1110607605 1234008450 1480810140 1645344600 1776972168 1851012675 2221215210 2468016900 2961620280 3702025350 4442430420 4936033800 5553038025 7404050700 8884860840 11106076050 14808101400 22212152100 44424304200