Search a number
-
+
44385022320 = 24354120112243
BaseRepresentation
bin101001010101100011…
…011011000101110000
311020120021020202021120
4221111203123011300
51211400031203240
632220141022240
73130621315302
oct512543330560
9136507222246
1044385022320
1117907208231
128728554980
1342546a0122
142210b07972
15124b962ad0
hexa558db170

44385022320 has 160 divisors (see below), whose sum is σ = 141082470144. Its totient is φ = 11536435200.

The previous prime is 44385022309. The next prime is 44385022321. The reversal of 44385022320 is 2322058344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44385022321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19787119 + ... + 19789361.

Almost surely, 244385022320 is an apocalyptic number.

44385022320 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 44385022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70541235072).

44385022320 is an abundant number, since it is smaller than the sum of its proper divisors (96697447824).

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

44385022320 is a wasteful number, since it uses less digits than its factorization.

44385022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4311 (or 4305 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 44385022320 in words is "forty-four billion, three hundred eighty-five million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2011 2243 2460 3280 4022 4486 4920 6033 6729 8044 8972 9840 10055 11215 12066 13458 16088 17944 20110 22430 24132 26916 30165 32176 33645 35888 40220 44860 48264 53832 60330 67290 80440 82451 89720 91963 96528 107664 120660 134580 160880 164902 179440 183926 241320 247353 269160 275889 329804 367852 412255 459815 482640 494706 538320 551778 659608 735704 824510 919630 989412 1103556 1236765 1319216 1379445 1471408 1649020 1839260 1978824 2207112 2473530 2758890 3298040 3678520 3957648 4414224 4510673 4947060 5517780 6596080 7357040 9021346 9894120 11035560 13532019 18042692 19788240 22071120 22553365 27064038 36085384 45106730 54128076 67660095 72170768 90213460 108256152 135320190 180426920 184937593 216512304 270640380 360853840 369875186 541280760 554812779 739750372 924687965 1082561520 1109625558 1479500744 1849375930 2219251116 2774063895 2959001488 3698751860 4438502232 5548127790 7397503720 8877004464 11096255580 14795007440 22192511160 44385022320