Search a number
-
+
3321142412016 = 2431113757639167
BaseRepresentation
bin110000010101000011100…
…000111000001011110000
3102202111110010101010010010
4300111003200320023300
5413403144424141031
611021413423534520
7461642001501552
oct60250340701360
912674403333103
103321142412016
111070541345060
124577aba5a440
131b124a916780
14b6a5bd3d4d2
155b5cd0d1246
hex305438382f0

3321142412016 has 160 divisors (see below), whose sum is σ = 10092882014208. Its totient is φ = 927762232320.

The previous prime is 3321142411957. The next prime is 3321142412099. The reversal of 3321142412016 is 6102142411233.

It is a super-2 number, since 2×33211424120162 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4876465 + ... + 5515631.

Almost surely, 23321142412016 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 3321142412016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5046441007104).

3321142412016 is an abundant number, since it is smaller than the sum of its proper divisors (6771739602192).

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

3321142412016 is a wasteful number, since it uses less digits than its factorization.

3321142412016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639959 (or 639953 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 3321142412016 its reverse (6102142411233), we get a palindrome (9423284823249).

The spelling of 3321142412016 in words is "three trillion, three hundred twenty-one billion, one hundred forty-two million, four hundred twelve thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 757 858 1144 1514 1716 2271 2288 3028 3432 4542 6056 6864 8327 9084 9841 12112 16654 18168 19682 24981 29523 33308 36336 39364 49962 59046 66616 78728 99924 108251 118092 133232 157456 199848 216502 236184 324753 399696 433004 472368 639167 649506 866008 1278334 1299012 1732016 1917501 2556668 2598024 3835002 5113336 5196048 7030837 7670004 8309171 10226672 14061674 15340008 16618342 21092511 24927513 28123348 30680016 33236684 42185022 49855026 56246696 66473368 84370044 91400881 99710052 112493392 132946736 168740088 182801762 199420104 274202643 337480176 365603524 398840208 483849419 548405286 731207048 967698838 1096810572 1451548257 1462414096 1935397676 2193621144 2903096514 3870795352 4387242288 5322343609 5806193028 6290042447 7741590704 10644687218 11612386056 12580084894 15967030827 18870127341 21289374436 23224772112 25160169788 31934061654 37740254682 42578748872 50320339576 63868123308 69190466917 75480509364 85157497744 100640679152 127736246616 138380933834 150961018728 207571400751 255472493232 276761867668 301922037456 415142801502 553523735336 830285603004 1107047470672 1660571206008 3321142412016