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342202313221400 = 235217923131413243
BaseRepresentation
bin100110111001110110010111…
…1010100100010010100011000
31122212122012222120201221211202
41031303230233110202110120
5324323120314141041100
63211445323352013332
7132036205221204452
oct11563545724422430
91585565876657752
10342202313221400
119a044205687aa5
1232469126391248
13118c3702876b68
146070974b932d2
152986702b117d5
hex1373b2f522518

342202313221400 has 96 divisors (see below), whose sum is σ = 800101709409600. Its totient is φ = 136110013430400.

The previous prime is 342202313221397. The next prime is 342202313221471. The reversal of 342202313221400 is 4122313202243.

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, 827883179 + ... + 828296421.

It is an arithmetic number, because the mean of its divisors is an integer number (8334392806350).

Almost surely, 2342202313221400 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 342202313221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400050854704800).

342202313221400 is an abundant number, since it is smaller than the sum of its proper divisors (457899396188200).

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

342202313221400 is a wasteful number, since it uses less digits than its factorization.

342202313221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436569 (or 436560 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 342202313221400 its reverse (4122313202243), we get a palindrome (346324626423643).

The spelling of 342202313221400 in words is "three hundred forty-two trillion, two hundred two billion, three hundred thirteen million, two hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 179 200 358 716 895 1432 1790 3580 4475 7160 8950 17900 23131 35800 46262 92524 115655 185048 231310 413243 462620 578275 826486 925240 1156550 1652972 2066215 2313100 3305944 4132430 4140449 4626200 8264860 8280898 10331075 16529720 16561796 20662150 20702245 33123592 41324300 41404490 73970497 82648600 82808980 103511225 147940994 165617960 207022450 295881988 369852485 414044900 591763976 739704970 828089800 1479409940 1849262425 2958819880 3698524850 7397049700 9558723833 14794099400 19117447666 38234895332 47793619165 76469790664 95587238330 191174476660 238968095825 382348953320 477936191650 955872383300 1711011566107 1911744766600 3422023132214 6844046264428 8555057830535 13688092528856 17110115661070 34220231322140 42775289152675 68440462644280 85550578305350 171101156610700 342202313221400