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4404243000 = 233536612221
BaseRepresentation
bin1000001101000001…
…10110101000111000
3102100221100201121010
410012200312220320
533004441234000
62005010113520
7214066306413
oct40640665070
912327321533
104404243000
111960097a53
12a2ab7b8a0
135525ba361
142dad00b7a
151ab9c5d50
hex106836a38

4404243000 has 128 divisors (see below), whose sum is σ = 13768223040. Its totient is φ = 1172160000.

The previous prime is 4404242957. The next prime is 4404243059. The reversal of 4404243000 is 3424044.

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 31 ways as a sum of consecutive naturals, for example, 1981890 + ... + 1984110.

Almost surely, 24404243000 is an apocalyptic number.

4404243000 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 4404243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6884111520).

4404243000 is an abundant number, since it is smaller than the sum of its proper divisors (9363980040).

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

4404243000 is a wasteful number, since it uses less digits than its factorization.

4404243000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 4404243000 is about 66364.4709162968. The cubic root of 4404243000 is about 1639.1690962473.

Adding to 4404243000 its reverse (3424044), we get a palindrome (4407667044).

The spelling of 4404243000 in words is "four billion, four hundred four million, two hundred forty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 661 750 1000 1322 1500 1983 2221 2644 3000 3305 3966 4442 5288 6610 6663 7932 8884 9915 11105 13220 13326 15864 16525 17768 19830 22210 26440 26652 33050 33315 39660 44420 49575 53304 55525 66100 66630 79320 82625 88840 99150 111050 132200 133260 165250 166575 198300 222100 247875 266520 277625 330500 333150 396600 444200 495750 555250 661000 666300 832875 991500 1110500 1332600 1468081 1665750 1983000 2221000 2936162 3331500 4404243 5872324 6663000 7340405 8808486 11744648 14680810 17616972 22021215 29361620 35233944 36702025 44042430 58723240 73404050 88084860 110106075 146808100 176169720 183510125 220212150 293616200 367020250 440424300 550530375 734040500 880848600 1101060750 1468081000 2202121500 4404243000