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442448622280 = 23572478947137
BaseRepresentation
bin1100111000000111111…
…11100011001011001000
31120022001000010210210101
412130003333203023020
524222113321403110
6535131425255144
743652201144200
oct6340377431310
91508030123711
10442448622280
11160706792615
12718bb1944b4
1332951aa1812
14175b3a49400
15b79835d13a
hex6703fe32c8

442448622280 has 96 divisors (see below), whose sum is σ = 1158307932600. Its totient is φ = 151661776896.

The previous prime is 442448622233. The next prime is 442448622313. The reversal of 442448622280 is 82226844244.

It can be written as a sum of positive squares in 4 ways, for example, as 91200376036 + 351248246244 = 301994^2 + 592662^2 .

It is a super-2 number, since 2×4424486222802 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 442448622280.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9362872 + ... + 9410008.

Almost surely, 2442448622280 is an apocalyptic number.

442448622280 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 442448622280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579153966300).

442448622280 is an abundant number, since it is smaller than the sum of its proper divisors (715859310320).

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

442448622280 is a wasteful number, since it uses less digits than its factorization.

442448622280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51951 (or 51940 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 46.

The spelling of 442448622280 in words is "four hundred forty-two billion, four hundred forty-eight million, six hundred twenty-two thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 4789 9578 19156 23945 33523 38312 47137 47890 67046 94274 95780 134092 167615 188548 191560 234661 235685 268184 329959 335230 377096 469322 471370 659918 670460 938644 942740 1173305 1319836 1340920 1649795 1877288 1885480 2309713 2346610 2639672 3299590 4619426 4693220 6599180 9238852 9386440 11548565 13198360 18477704 23097130 46194260 92388520 225739093 451478186 902956372 1128695465 1580173651 1805912744 2257390930 3160347302 4514781860 6320694604 7900868255 9029563720 11061215557 12641389208 15801736510 22122431114 31603473020 44244862228 55306077785 63206946040 88489724456 110612155570 221224311140 442448622280