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44306315721440 = 2551954779266059
BaseRepresentation
bin10100001001011110111100…
…01101011011101011100000
312210212122100022200122001122
422010233132031123223200
521301403313311041230
6234122012423151412
712222011543526323
oct1204573615335340
9183778308618048
1044306315721440
1113132226185a33
124b76a3b5a5568
131b950b5801476
14ad26196727ba
1551c797a85be5
hex284bde35bae0

44306315721440 has 96 divisors (see below), whose sum is σ = 110185237008000. Its totient is φ = 16789392142848.

The previous prime is 44306315721401. The next prime is 44306315721581. The reversal of 44306315721440 is 4412751360344.

It is a super-2 number, since 2×443063157214402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44306315721391 and 44306315721400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166395131 + ... + 166661189.

It is an arithmetic number, because the mean of its divisors is an integer number (1147762885500).

Almost surely, 244306315721440 is an apocalyptic number.

44306315721440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44306315721440 is an abundant number, since it is smaller than the sum of its proper divisors (65878921286560).

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

44306315721440 is a wasteful number, since it uses less digits than its factorization.

44306315721440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320872 (or 320864 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 44.

The spelling of 44306315721440 in words is "forty-four trillion, three hundred six billion, three hundred fifteen million, seven hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 54779 109558 219116 266059 273895 438232 532118 547790 876464 1040801 1064236 1095580 1330295 1752928 2081602 2128472 2191160 2660590 4163204 4256944 4382320 5055121 5204005 5321180 8326408 8513888 8764640 10110242 10408010 10642360 16652816 20220484 20816020 21284720 25275605 33305632 40440968 41632040 42569440 50551210 80881936 83264080 101102420 161763872 166528160 202204840 404409680 808819360 14574445961 29148891922 58297783844 72872229805 116595567688 145744459610 233191135376 276914473259 291488919220 466382270752 553828946518 582977838440 1107657893036 1165955676880 1384572366295 2215315786072 2331911353760 2769144732590 4430631572144 5538289465180 8861263144288 11076578930360 22153157860720 44306315721440