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4424135320 = 23511101113881
BaseRepresentation
bin1000001111011001…
…01111001010011000
3102102022210100201201
410013230233022120
533030034312240
62011000323544
7214430346463
oct40754571230
912368710651
104424135320
111970344390
12a357735b4
13556763767
142dd7dc2da
151ad604d9a
hex107b2f298

4424135320 has 128 divisors (see below), whose sum is σ = 11076367680. Its totient is φ = 1576960000.

The previous prime is 4424135279. The next prime is 4424135347. The reversal of 4424135320 is 235314244.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5021280 + ... + 5022160.

Almost surely, 24424135320 is an apocalyptic number.

4424135320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4424135320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5538183840).

4424135320 is an abundant number, since it is smaller than the sum of its proper divisors (6652232360).

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

4424135320 is a wasteful number, since it uses less digits than its factorization.

4424135320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 4424135320 is about 66514.1738278391. The cubic root of 4424135320 is about 1641.6332282206.

Adding to 4424135320 its reverse (235314244), we get a palindrome (4659449564).

The spelling of 4424135320 in words is "four billion, four hundred twenty-four million, one hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 113 202 220 226 404 440 452 505 565 808 881 904 1010 1111 1130 1243 1762 2020 2222 2260 2486 3524 4040 4405 4444 4520 4972 5555 6215 7048 8810 8888 9691 9944 11110 11413 12430 17620 19382 22220 22826 24860 35240 38764 44440 45652 48455 49720 57065 77528 88981 91304 96910 99553 114130 125543 177962 193820 199106 228260 251086 355924 387640 398212 444905 456520 497765 502172 627715 711848 796424 889810 978791 995530 1004344 1095083 1255430 1779620 1957582 1991060 2190166 2510860 3559240 3915164 3982120 4380332 4893955 5021720 5475415 7830328 8760664 9787910 10054853 10950830 19575820 20109706 21901660 39151640 40219412 43803320 50274265 80438824 100548530 110603383 201097060 221206766 402194120 442413532 553016915 884827064 1106033830 2212067660 4424135320