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335312540112 = 243113126377893
BaseRepresentation
bin1001110000100100010…
…11110101000111010000
31012001111111200221010010
410320102023311013100
520443210002240422
6414012423234520
733140233364334
oct4702213650720
91161444627103
10335312540112
1111a229207350
1254b9b5a8a40
1325809a21164
141232cd677c4
158ac78c8b0c
hex4e122f51d0

335312540112 has 160 divisors (see below), whose sum is σ = 979176185856. Its totient is φ = 97956979200.

The previous prime is 335312540053. The next prime is 335312540119. The reversal of 335312540112 is 211045213533.

It is a super-2 number, since 2×3353125401122 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 335312540112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335312540119) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4265838 + ... + 4343730.

Almost surely, 2335312540112 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 335312540112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489588092928).

335312540112 is an abundant number, since it is smaller than the sum of its proper divisors (643863645744).

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

335312540112 is a wasteful number, since it uses less digits than its factorization.

335312540112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78209 (or 78203 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 335312540112 its reverse (211045213533), we get a palindrome (546357753645).

The spelling of 335312540112 in words is "three hundred thirty-five billion, three hundred twelve million, five hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 263 264 341 372 496 526 528 682 744 789 1023 1052 1364 1488 1578 2046 2104 2728 2893 3156 4092 4208 5456 5786 6312 8153 8184 8679 11572 12624 16306 16368 17358 23144 24459 32612 34716 46288 48918 65224 69432 77893 89683 97836 130448 138864 155786 179366 195672 233679 269049 311572 358732 391344 467358 538098 623144 717464 856823 934716 1076196 1246288 1434928 1713646 1869432 2152392 2414683 2570469 3427292 3738864 4304784 4829366 5140938 6854584 7244049 9658732 10281876 13709168 14488098 19317464 20485859 20563752 26561513 28976196 38634928 40971718 41127504 53123026 57952392 61457577 79684539 81943436 106246052 115904784 122915154 159369078 163886872 212492104 225344449 245830308 318738156 327773744 424984208 450688898 491660616 635061629 637476312 676033347 901377796 983321232 1270123258 1274952624 1352066694 1802755592 1905184887 2540246516 2704133388 3605511184 3810369774 5080493032 5408266776 6985677919 7620739548 10160986064 10816533552 13971355838 15241479096 20957033757 27942711676 30482958192 41914067514 55885423352 83828135028 111770846704 167656270056 335312540112