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335316434144 = 25194316997549
BaseRepresentation
bin1001110000100100110…
…10101011110011100000
31012001111210000202201112
410320102122223303200
520443212001343034
6414013042522452
733140311443236
oct4702232536340
91161453022645
10335316434144
1111a230426a5a
1254ba0966428
132580a785713
141232d69c956
158ac7de77ce
hex4e126abce0

335316434144 has 96 divisors (see below), whose sum is σ = 711572400000. Its totient is φ = 155028432384.

The previous prime is 335316434119. The next prime is 335316434161. The reversal of 335316434144 is 441434613533.

It is a super-4 number, since 4×3353164341444 (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44414882 + ... + 44422430.

It is an arithmetic number, because the mean of its divisors is an integer number (7412212500).

Almost surely, 2335316434144 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 335316434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355786200000).

335316434144 is an abundant number, since it is smaller than the sum of its proper divisors (376255965856).

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

335316434144 is a wasteful number, since it uses less digits than its factorization.

335316434144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9320 (or 9312 counting only the distinct ones).

The product of its digits is 622080, while the sum is 41.

The spelling of 335316434144 in words is "three hundred thirty-five billion, three hundred sixteen million, four hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 43 76 86 152 172 304 344 608 688 817 1376 1634 1699 3268 3398 6536 6796 7549 13072 13592 15098 26144 27184 30196 32281 54368 60392 64562 73057 120784 129124 143431 146114 241568 258248 286862 292228 324607 516496 573724 584456 649214 1032992 1147448 1168912 1298428 1388083 2294896 2337824 2596856 2776166 4589792 5193712 5552332 6167533 10387424 11104664 12335066 12825751 22209328 24670132 25651502 44418656 49340264 51303004 98680528 102606008 197361056 205212016 243689269 410424032 487378538 551507293 974757076 1103014586 1949514152 2206029172 3899028304 4412058344 7798056608 8824116688 10478638567 17648233376 20957277134 41914554268 83829108536 167658217072 335316434144