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4435420000 = 25541120161
BaseRepresentation
bin1000010000101111…
…10010001101100000
3102110010000200101211
410020113302031200
533040431420000
62012042235504
7214625306434
oct41027621540
912403020354
104435420000
111976751770
12a394b5b94
13558bb4c9b
143010d89c4
151ae5d37ba
hex1085f2360

4435420000 has 120 divisors (see below), whose sum is σ = 11904370632. Its totient is φ = 1612800000.

The previous prime is 4435419979. The next prime is 4435420039. The reversal of 4435420000 is 245344.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 209920 + ... + 230080.

Almost surely, 24435420000 is an apocalyptic number.

4435420000 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 4435420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5952185316).

4435420000 is an abundant number, since it is smaller than the sum of its proper divisors (7468950632).

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

4435420000 is a wasteful number, since it uses less digits than its factorization.

4435420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20202 (or 20179 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 4435420000 is about 66598.9489406552. The cubic root of 4435420000 is about 1643.0278191568.

Adding to 4435420000 its reverse (245344), we get a palindrome (4435665344).

The spelling of 4435420000 in words is "four billion, four hundred thirty-five million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 4000 4400 5000 5500 6875 8800 10000 11000 13750 20000 20161 22000 27500 40322 44000 55000 80644 100805 110000 161288 201610 220000 221771 322576 403220 443542 504025 645152 806440 887084 1008050 1108855 1612880 1774168 2016100 2217710 2520125 3225760 3548336 4032200 4435420 5040250 5544275 7096672 8064400 8870840 10080500 11088550 12600625 16128800 17741680 20161000 22177100 25201250 27721375 35483360 40322000 44354200 50402500 55442750 80644000 88708400 100805000 110885500 138606875 177416800 201610000 221771000 277213750 403220000 443542000 554427500 887084000 1108855000 2217710000 4435420000