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4414445420 = 22571121715329
BaseRepresentation
bin1000001110001111…
…10001011101101100
3102101122120001200112
410013013301131230
533020044223140
62010012515152
7214252111160
oct40707613554
912348501615
104414445420
111965926200
12a3247bab8
135547500a8
142dc3d8ca0
151ac83dc65
hex1071f176c

4414445420 has 144 divisors (see below), whose sum is σ = 12331206720. Its totient is φ = 1294909440.

The previous prime is 4414445417. The next prime is 4414445443. The reversal of 4414445420 is 245444144.

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 47 ways as a sum of consecutive naturals, for example, 280316 + ... + 295644.

It is an arithmetic number, because the mean of its divisors is an integer number (85633380).

Almost surely, 24414445420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4414445420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6165603360).

4414445420 is an abundant number, since it is smaller than the sum of its proper divisors (7916761300).

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

4414445420 is a wasteful number, since it uses less digits than its factorization.

4414445420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15384 (or 15371 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 32.

The square root of 4414445420 is about 66441.2930337753. The cubic root of 4414445420 is about 1640.4338307963.

Adding to 4414445420 its reverse (245444144), we get a palindrome (4659889564).

The spelling of 4414445420 in words is "four billion, four hundred fourteen million, four hundred forty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 28 34 35 44 55 68 70 77 85 110 119 121 140 154 170 187 220 238 242 308 340 374 385 476 484 595 605 748 770 847 935 1190 1210 1309 1540 1694 1870 2057 2380 2420 2618 3388 3740 4114 4235 5236 6545 8228 8470 10285 13090 14399 15329 16940 20570 26180 28798 30658 41140 57596 61316 71995 76645 107303 143990 153290 168619 214606 260593 287980 306580 337238 429212 521186 536515 674476 843095 1042372 1073030 1180333 1302965 1686190 1824151 1854809 2146060 2360666 2605930 2866523 3372380 3648302 3709618 4721332 5211860 5733046 5901665 7296604 7419236 9120755 9274045 11466092 11803330 12983663 14332615 18241510 18548090 20065661 23606660 25967326 28665230 31531753 36483020 37096180 40131322 51934652 57330460 63063506 64918315 80262644 100328305 126127012 129836630 157658765 200656610 220722271 259673260 315317530 401313220 441444542 630635060 882889084 1103611355 2207222710 4414445420