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444414334100 = 225211795114089
BaseRepresentation
bin1100111011110010010…
…10001001010010010100
31120111002222222022110212
412131321022021102110
524240130032142400
6540054445304552
744052000340352
oct6357112112224
91514088868425
10444414334100
1116152533aa40
1272169565158
1332ba61020c9
141771cb3a7d2
15b860beb335
hex6779289494

444414334100 has 72 divisors (see below), whose sum is σ = 1065367228800. Its totient is φ = 159559545600.

The previous prime is 444414334019. The next prime is 444414334127. The reversal of 444414334100 is 1433414444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2470145 + ... + 2643944.

Almost surely, 2444414334100 is an apocalyptic number.

It is an amenable number.

444414334100 is an abundant number, since it is smaller than the sum of its proper divisors (620952894700).

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

444414334100 is a wasteful number, since it uses less digits than its factorization.

444414334100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5114193 (or 5114186 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 444414334100 its reverse (1433414444), we get a palindrome (445847748544).

It can be divided in two parts, 44 and 4414334100, that added together give a palindrome (4414334144).

The spelling of 444414334100 in words is "four hundred forty-four billion, four hundred fourteen million, three hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 79 100 110 158 220 275 316 395 550 790 869 1100 1580 1738 1975 3476 3950 4345 7900 8690 17380 21725 43450 86900 5114089 10228178 20456356 25570445 51140890 56254979 102281780 112509958 127852225 225019916 255704450 281274895 404013031 511408900 562549790 808026062 1125099580 1406374475 1616052124 2020065155 2812748950 4040130310 4444143341 5625497900 8080260620 8888286682 10100325775 17776573364 20200651550 22220716705 40401303100 44441433410 88882866820 111103583525 222207167050 444414334100