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4404111080 = 23519103127443
BaseRepresentation
bin1000001101000000…
…10110011011101000
3102100221010000122012
410012200112123220
533004423023310
62005003215052
7214065216665
oct40640263350
912327100565
104404111080
111960007926
12a2ab17488
135525722b5
142daca8a6c
151ab99bc05
hex1068166e8

4404111080 has 128 divisors (see below), whose sum is σ = 10638950400. Its totient is φ = 1636008192.

The previous prime is 4404111053. The next prime is 4404111113. The reversal of 4404111080 is 801114044.

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, 9941339 + ... + 9941781.

It is an arithmetic number, because the mean of its divisors is an integer number (83116800).

Almost surely, 24404111080 is an apocalyptic number.

4404111080 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 4404111080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5319475200).

4404111080 is an abundant number, since it is smaller than the sum of its proper divisors (6234839320).

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

4404111080 is a wasteful number, since it uses less digits than its factorization.

4404111080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 4404111080 is about 66363.4770035447. The cubic root of 4404111080 is about 1639.1527301093.

The spelling of 4404111080 in words is "four billion, four hundred four million, one hundred eleven thousand, eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 103 127 152 190 206 254 380 412 443 508 515 635 760 824 886 1016 1030 1270 1772 1957 2060 2215 2413 2540 3544 3914 4120 4430 4826 5080 7828 8417 8860 9652 9785 12065 13081 15656 16834 17720 19304 19570 24130 26162 33668 39140 42085 45629 48260 52324 56261 65405 67336 78280 84170 91258 96520 104648 112522 130810 168340 182516 225044 228145 248539 261620 281305 336680 365032 450088 456290 497078 523240 562610 866951 912580 994156 1068959 1125220 1242695 1733902 1825160 1988312 2137918 2250440 2485390 3467804 4275836 4334755 4970780 5344795 5794883 6935608 8551672 8669510 9941560 10689590 11589766 17339020 21379180 23179532 28974415 34678040 42758360 46359064 57948830 110102777 115897660 220205554 231795320 440411108 550513885 880822216 1101027770 2202055540 4404111080