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220114043551440 = 243252683113944819
BaseRepresentation
bin110010000011000101001011…
…011000000011111011010000
31001212100200211011011020101200
4302003011023120003323100
5212322322030122121230
62100050555020431200
764235500123462533
oct6203051330037320
91055320734136350
10220114043551440
1164153929250545
122082b6ab9a8500
1395a88856cc3ac
143c4d8100b4a1a
151a6aa10ee7160
hexc8314b603ed0

220114043551440 has 120 divisors (see below), whose sum is σ = 739491854655840. Its totient is φ = 58675200360192.

The previous prime is 220114043551421. The next prime is 220114043551483. The reversal of 220114043551440 is 44155340411022.

220114043551440 is a `hidden beast` number, since 2 + 20 + 1 + 1 + 4 + 0 + 43 + 551 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 220114043551395 and 220114043551404.

It is a congruent number.

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, 55040650 + ... + 58904169.

It is an arithmetic number, because the mean of its divisors is an integer number (6162432122132).

Almost surely, 2220114043551440 is an apocalyptic number.

220114043551440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220114043551440 is an abundant number, since it is smaller than the sum of its proper divisors (519377811104400).

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

220114043551440 is a wasteful number, since it uses less digits than its factorization.

220114043551440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113947521 (or 113947512 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 220114043551440 its reverse (44155340411022), we get a palindrome (264269383962462).

The spelling of 220114043551440 in words is "two hundred twenty trillion, one hundred fourteen billion, forty-three million, five hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2683 5366 8049 10732 13415 16098 21464 24147 26830 32196 40245 42928 48294 53660 64392 80490 96588 107320 120735 128784 160980 193176 214640 241470 321960 386352 482940 643920 965880 1931760 113944819 227889638 341834457 455779276 569724095 683668914 911558552 1025503371 1139448190 1367337828 1709172285 1823117104 2051006742 2278896380 2734675656 3418344570 4102013484 4557792760 5127516855 5469351312 6836689140 8204026968 9115585520 10255033710 13673378280 16408053936 20510067420 27346756560 41020134840 82040269680 305713949377 611427898754 917141848131 1222855797508 1528569746885 1834283696262 2445711595016 2751425544393 3057139493770 3668567392524 4585709240655 4891423190032 5502851088786 6114278987540 7337134785048 9171418481310 11005702177572 12228557975080 13757127721965 14674269570096 18342836962620 22011404355144 24457115950160 27514255443930 36685673925240 44022808710288 55028510887860 73371347850480 110057021775720 220114043551440