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4424313913920 = 263251536220109
BaseRepresentation
bin100000001100001110110…
…1010001100001001000000
3120122221221001011212120100
41000120131222030021000
51034441443330221140
613224300213442400
7634434423524415
oct100303552141100
916587831155510
104424313913920
1114563829543aa
125b5565940400
13261298793094
141141d06d410c
157a147201530
hex4061da8c240

4424313913920 has 84 divisors (see below), whose sum is σ = 15217796409660. Its totient is φ = 1179817042944.

The previous prime is 4424313913889. The next prime is 4424313913927. The reversal of 4424313913920 is 293193134244.

4424313913920 is a `hidden beast` number, since 4 + 4 + 243 + 13 + 9 + 1 + 392 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3095882478144 + 1328431435776 = 1759512^2 + 1152576^2 .

It is a super-2 number, since 2×44243139139202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4424313913927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 768107175 + ... + 768112934.

Almost surely, 24424313913920 is an apocalyptic number.

4424313913920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4424313913920 is an abundant number, since it is smaller than the sum of its proper divisors (10793482495740).

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

4424313913920 is a wasteful number, since it uses less digits than its factorization.

4424313913920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536220132 (or 1536220119 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 4424313913920 in words is "four trillion, four hundred twenty-four billion, three hundred thirteen million, nine hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 1536220109 3072440218 4608660327 6144880436 7681100545 9217320654 12289760872 13825980981 15362201090 18434641308 23043301635 24579521744 27651961962 30724402180 36869282616 46086603270 49159043488 55303923924 61448804360 69129904905 73738565232 92173206540 98318086976 110607847848 122897608720 138259809810 147477130464 184346413080 221215695696 245795217440 276519619620 294954260928 368692826160 442431391392 491590434880 553039239240 737385652320 884862782784 1106078478480 1474771304640 2212156956960 4424313913920