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4421414543900 = 2252893839971301
BaseRepresentation
bin100000001010111000011…
…0101111110001000011100
3120122200102222111121121112
41000111300311332020130
51034420024110401100
613223100402121152
7634302526346534
oct100256065761034
916580388447545
104421414543900
111455125275832
125b4a969501b8
13260c25bb3013
14113dd76044c4
157a0278d8b35
hex40570d7e21c

4421414543900 has 144 divisors (see below), whose sum is σ = 9744846289920. Its totient is φ = 1741039872000.

The previous prime is 4421414543899. The next prime is 4421414544049. The reversal of 4421414543900 is 93454141244.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3398473250 + ... + 3398474550.

It is an arithmetic number, because the mean of its divisors is an integer number (67672543680).

Almost surely, 24421414543900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4421414543900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4872423144960).

4421414543900 is an abundant number, since it is smaller than the sum of its proper divisors (5323431746020).

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

4421414543900 is a wasteful number, since it uses less digits than its factorization.

4421414543900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 4421414543900 in words is "four trillion, four hundred twenty-one billion, four hundred fourteen million, five hundred forty-three thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 383 445 766 890 997 1301 1532 1780 1915 1994 2225 2602 3830 3988 4450 4985 5204 6505 7660 8900 9575 9970 13010 19150 19940 24925 26020 32525 34087 38300 49850 65050 68174 88733 99700 115789 130100 136348 170435 177466 231578 340870 354932 381851 443665 463156 498283 578945 681740 763702 852175 887330 996566 1157890 1297097 1527404 1704350 1774660 1909255 1993132 2218325 2315780 2491415 2594194 2894725 3408700 3818510 4436650 4982830 5188388 5789450 6485485 7637020 8873300 9546275 9965660 11578900 12457075 12970970 19092550 24914150 25941940 32427425 33984739 38185100 44347187 49828300 64854850 67969478 88694374 115441633 129709700 135938956 169923695 177388748 221735935 230883266 339847390 443471870 461766532 496788151 577208165 679694780 849618475 886943740 993576302 1108679675 1154416330 1699236950 1987152604 2217359350 2308832660 2483940755 2886040825 3398473900 4434718700 4967881510 5772081650 9935763020 11544163300 12419703775 24839407550 44214145439 49678815100 88428290878 176856581756 221070727195 442141454390 884282908780 1105353635975 2210707271950 4421414543900