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313124340031424 = 2631773631732321
BaseRepresentation
bin100011100110010001111000…
…1000011101101111111000000
31112001200101122122011011111122
41013030203301003231333000
5312020212122022001144
63025543200323131412
7122645326022205635
oct10714436103557700
91461611578134448
10313124340031424
11908533178a4169
122b151717b13b68
1310594663471a0c
14574742834c18c
152630138edb7ee
hex11cc8f10edfc0

313124340031424 has 112 divisors (see below), whose sum is σ = 642351152192256. Its totient is φ = 151287137894400.

The previous prime is 313124340031417. The next prime is 313124340031441. The reversal of 313124340031424 is 424130043421313.

It is a super-2 number, since 2×3131243400314242 (a number of 30 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 15 ways as a sum of consecutive naturals, for example, 9687937184 + ... + 9687969504.

Almost surely, 2313124340031424 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 313124340031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321175576096128).

313124340031424 is an abundant number, since it is smaller than the sum of its proper divisors (329226812160832).

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

313124340031424 is a wasteful number, since it uses less digits than its factorization.

313124340031424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39454 (or 39444 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 313124340031424 its reverse (424130043421313), we get a palindrome (737254383452737).

The spelling of 313124340031424 in words is "three hundred thirteen trillion, one hundred twenty-four billion, three hundred forty million, thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 773 992 1546 1984 3092 6184 6317 12368 12634 23963 24736 25268 32321 47926 49472 50536 64642 95852 101072 129284 191704 195827 202144 258568 383408 391654 404288 517136 766816 783308 1001951 1034272 1533632 1566616 2003902 2068544 3133232 4007804 4883041 6266464 8015608 9766082 12532928 16031216 19532164 24984133 32062432 39064328 49968266 64124864 78128656 99936532 151374271 156257312 199873064 204171757 302748542 312514624 399746128 408343514 605497084 774508123 799492256 816687028 1210994168 1549016246 1598984512 1633374056 2421988336 3098032492 3266748112 4843976672 6196064984 6329324467 6533496224 9687953344 12392129968 12658648934 13066992448 24784259936 25317297868 49568519872 50634595736 101269191472 157824768161 202538382944 315649536322 405076765888 631299072644 1262598145288 2525196290576 4892567812991 5050392581152 9785135625982 10100785162304 19570271251964 39140542503928 78281085007856 156562170015712 313124340031424