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4319920000 = 2754114909
BaseRepresentation
bin1000000010111110…
…01011111110000000
3102011001200200012001
410001133023332000
532321344420000
61552354513344
7212023466644
oct40137137600
912131620161
104319920000
111917533920
12a06895854
1353aca53a6
142cda30c24
151a43bb46a
hex1017cbf80

4319920000 has 160 divisors (see below), whose sum is σ = 11734212600. Its totient is φ = 1570560000.

The previous prime is 4319919991. The next prime is 4319920001. The reversal of 4319920000 is 299134.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4319920001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 877546 + ... + 882454.

Almost surely, 24319920000 is an apocalyptic number.

4319920000 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 4319920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5867106300).

4319920000 is an abundant number, since it is smaller than the sum of its proper divisors (7414292600).

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

4319920000 is an equidigital number, since it uses as much as digits as its factorization.

4319920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4954 (or 4927 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 4319920000 is about 65726.0983171830. The cubic root of 4319920000 is about 1628.6405164963.

The spelling of 4319920000 in words is "four billion, three hundred nineteen million, nine hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 625 640 704 800 880 1000 1100 1250 1375 1408 1600 1760 2000 2200 2500 2750 3200 3520 4000 4400 4909 5000 5500 6875 7040 8000 8800 9818 10000 11000 13750 16000 17600 19636 20000 22000 24545 27500 35200 39272 40000 44000 49090 53999 55000 78544 80000 88000 98180 107998 110000 122725 157088 176000 196360 215996 220000 245450 269995 314176 392720 431992 440000 490900 539990 613625 628352 785440 863984 880000 981800 1079980 1227250 1349975 1570880 1727968 1963600 2159960 2454500 2699950 3068125 3141760 3455936 3927200 4319920 4909000 5399900 6136250 6749875 6911872 7854400 8639840 9818000 10799800 12272500 13499750 15708800 17279680 19636000 21599600 24545000 26999500 33749375 34559360 39272000 43199200 49090000 53999000 67498750 78544000 86398400 98180000 107998000 134997500 172796800 196360000 215996000 269995000 392720000 431992000 539990000 863984000 1079980000 2159960000 4319920000