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3301010440420 = 2257112544335801
BaseRepresentation
bin110000000010010011100…
…011100000000011100100
3102200120111002111222212111
4300002103203200003210
5413040432133043140
611004244021530404
7460330054533040
oct60022343400344
912616432458774
103301010440420
111062a50377900
12453911873a04
131ac38cab2b44
14b5aac303020
155ad009977ea
hex300938e00e4

3301010440420 has 144 divisors (see below), whose sum is σ = 8709963260544. Its totient is φ = 1028668608000.

The previous prime is 3301010440417. The next prime is 3301010440471. The reversal of 3301010440420 is 240440101033.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3301010440391 and 3301010440400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92186520 + ... + 92222320.

It is an arithmetic number, because the mean of its divisors is an integer number (60485855976).

Almost surely, 23301010440420 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 3301010440420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354981630272).

3301010440420 is an abundant number, since it is smaller than the sum of its proper divisors (5408952820124).

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

3301010440420 is a wasteful number, since it uses less digits than its factorization.

3301010440420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41282 (or 41269 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 3301010440420 its reverse (240440101033), we get a palindrome (3541450541453).

The spelling of 3301010440420 in words is "three trillion, three hundred one billion, ten million, four hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1540 1694 2420 3388 4235 5443 8470 10886 16940 21772 27215 35801 38101 54430 59873 71602 76202 108860 119746 143204 152404 179005 190505 239492 250607 299365 358010 381010 393811 419111 501214 598730 658603 716020 762020 787622 838222 1002428 1197460 1253035 1317206 1575244 1676444 1969055 2095555 2506070 2634412 2756677 3293015 3938110 4191110 4331921 4610221 5012140 5513354 6586030 7876220 8382220 8663842 9220442 11026708 13172060 13783385 17327684 18440884 21659605 23051105 27566770 30323447 43319210 46102210 55133540 60646894 86638420 92204420 121293788 151617235 194864843 303234470 389729686 606468940 779459372 974324215 1364053901 1948648430 2143513273 2728107802 3897296860 4287026546 5456215604 6820269505 8574053092 10717566365 13640539010 15004592911 21435132730 23578646003 27281078020 30009185822 42870265460 47157292006 60018371644 75022964555 94314584012 117893230015 150045929110 165050522021 235786460030 300091858220 330101044042 471572920060 660202088084 825252610105 1650505220210 3301010440420