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4448440048080 = 243579672738243
BaseRepresentation
bin100000010111011101110…
…1100000101100111010000
3120202021012102202110210210
41000232323230011213100
51040340401123014310
613243330220324120
7636250330345110
oct100567354054720
916667172673723
104448440048080
111465633489056
125ba1796a3640
13263641c53402
1411543c9a5040
157aaaa30a820
hex40bbbb059d0

4448440048080 has 160 divisors (see below), whose sum is σ = 15776491382784. Its totient is φ = 1015734440448.

The previous prime is 4448440048067. The next prime is 4448440048103. The reversal of 4448440048080 is 808400448444.

It is a super-2 number, since 2×44484400480802 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255439 + ... + 2993681.

Almost surely, 24448440048080 is an apocalyptic number.

4448440048080 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 4448440048080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7888245691392).

4448440048080 is an abundant number, since it is smaller than the sum of its proper divisors (11328051334704).

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

4448440048080 is a wasteful number, since it uses less digits than its factorization.

4448440048080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739233 (or 2739227 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 48.

The spelling of 4448440048080 in words is "four trillion, four hundred forty-eight billion, four hundred forty million, forty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 967 1680 1934 2901 3868 4835 5802 6769 7736 9670 11604 13538 14505 15472 19340 20307 23208 27076 29010 33845 38680 40614 46416 54152 58020 67690 77360 81228 101535 108304 116040 135380 162456 203070 232080 270760 324912 406140 541520 812280 1624560 2738243 5476486 8214729 10952972 13691215 16429458 19167701 21905944 27382430 32858916 38335402 41073645 43811888 54764860 57503103 65717832 76670804 82147290 95838505 109529720 115006206 131435664 153341608 164294580 191677010 219059440 230012412 287515515 306683216 328589160 383354020 460024824 575031030 657178320 766708040 920049648 1150062060 1533416080 2300124120 2647880981 4600248240 5295761962 7943642943 10591523924 13239404905 15887285886 18535166867 21183047848 26478809810 31774571772 37070333734 39718214715 42366095696 52957619620 55605500601 63549143544 74140667468 79436429430 92675834335 105915239240 111211001202 127098287088 148281334936 158872858860 185351668670 211830478480 222422002404 278027503005 296562669872 317745717720 370703337340 444844004808 556055006010 635491435440 741406674680 889688009616 1112110012020 1482813349360 2224220024040 4448440048080