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3343431019122 = 234195973325117
BaseRepresentation
bin110000101001110100000…
…001001010101001110010
3102211121222110022200010000
4300221310001022221302
5414234321320102442
611035541230050430
7463361223516435
oct60516401125162
912747873280100
103343431019122
111079a39713507
1245bb90349a16
131b33904a799c
14b7b7416981c
155be84c1cd4c
hex30a7404aa72

3343431019122 has 160 divisors (see below), whose sum is σ = 8030988187200. Its totient is φ = 1036467798912.

The previous prime is 3343431019111. The next prime is 3343431019153. The reversal of 3343431019122 is 2219101343433.

3343431019122 is a `hidden beast` number, since 3 + 3 + 434 + 3 + 10 + 191 + 22 = 666.

It is a super-2 number, since 2×33434310191222 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 133101708 + ... + 133126824.

It is an arithmetic number, because the mean of its divisors is an integer number (50193676170).

Almost surely, 23343431019122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3343431019122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4015494093600).

3343431019122 is an abundant number, since it is smaller than the sum of its proper divisors (4687557168078).

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

3343431019122 is a wasteful number, since it uses less digits than its factorization.

3343431019122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25942 (or 25933 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 3343431019122 in words is "three trillion, three hundred forty-three billion, four hundred thirty-one million, nineteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 59 81 114 118 162 171 177 342 354 513 531 733 1026 1062 1121 1466 1539 1593 2199 2242 3078 3186 3363 4398 4779 6597 6726 9558 10089 13194 13927 19791 20178 25117 27854 30267 39582 41781 43247 50234 59373 60534 75351 83562 86494 90801 118746 125343 129741 150702 181602 226053 250686 259482 376029 389223 452106 477223 678159 752058 778446 821693 954446 1128087 1167669 1356318 1431669 1481903 1643386 2034477 2256174 2335338 2465079 2863338 2963806 3503007 4068954 4295007 4445709 4930158 7006014 7395237 8590014 8891418 12885021 13337127 14790474 18410761 22185711 25770042 26674254 28156157 36821522 38655063 40011381 44371422 55232283 56312314 66557133 77310126 80022762 84468471 110464566 120034143 133114266 165696849 168936942 240068286 253405413 331393698 349804459 497090547 506810826 699608918 760216239 994181094 1049413377 1086234899 1491271641 1520432478 2098826754 2172469798 2280648717 2982543282 3148240131 3258704697 4561297434 6296480262 6517409394 9444720393 9776114091 18889440786 19552228182 20638463081 28334161179 29328342273 41276926162 56668322358 58656684546 61915389243 87985026819 123830778486 175970053638 185746167729 371492335458 557238503187 1114477006374 1671715509561 3343431019122