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30320421040 = 24571329143617
BaseRepresentation
bin11100001111001111…
…001110100010110000
32220021002012222102001
4130033033032202300
5444044011433130
621532355503344
72122240216660
oct341717164260
986232188361
1030320421040
111194a0a6108
125a622b7b54
132b22892b50
141678c161a0
15bc6d1d6ca
hex70f3ce8b0

30320421040 has 160 divisors (see below), whose sum is σ = 89755505280. Its totient is φ = 9264955392.

The previous prime is 30320421031. The next prime is 30320421041. The reversal of 30320421040 is 4012402303.

It is a junction number, because it is equal to n+sod(n) for n = 30320420999 and 30320421017.

It is not an unprimeable number, because it can be changed into a prime (30320421041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139312 + ... + 282928.

It is an arithmetic number, because the mean of its divisors is an integer number (560971908).

Almost surely, 230320421040 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 30320421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44877752640).

30320421040 is an abundant number, since it is smaller than the sum of its proper divisors (59435084240).

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

30320421040 is a wasteful number, since it uses less digits than its factorization.

30320421040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143679 (or 143673 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 30320421040 its reverse (4012402303), we get a palindrome (34332823343).

The spelling of 30320421040 in words is "thirty billion, three hundred twenty million, four hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 29 35 40 52 56 58 65 70 80 91 104 112 116 130 140 145 182 203 208 232 260 280 290 364 377 406 455 464 520 560 580 728 754 812 910 1015 1040 1160 1456 1508 1624 1820 1885 2030 2320 2639 3016 3248 3640 3770 4060 5278 6032 7280 7540 8120 10556 13195 15080 16240 21112 26390 30160 42224 52780 105560 143617 211120 287234 574468 718085 1005319 1148936 1436170 1867021 2010638 2297872 2872340 3734042 4021276 4164893 5026595 5744680 7468084 8042552 8329786 9335105 10053190 11489360 13069147 14936168 16085104 16659572 18670210 20106380 20824465 26138294 29154251 29872336 33319144 37340420 40212760 41648930 52276588 54143609 58308502 65345735 66638288 74680840 80425520 83297860 104553176 108287218 116617004 130691470 145771255 149361680 166595720 209106352 216574436 233234008 261382940 270718045 291542510 333191440 379005263 433148872 466468016 522765880 541436090 583085020 758010526 866297744 1045531760 1082872180 1166170040 1516021052 1895026315 2165744360 2332340080 3032042104 3790052630 4331488720 6064084208 7580105260 15160210520 30320421040