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1312830140944 = 247215122712
BaseRepresentation
bin10011000110101010110…
…001100011001000010000
311122111122101112010212111
4103012222301203020100
5133002134004002234
62443034510035104
7163564104035200
oct23065261431020
94574571463774
101312830140944
1146684a430a63
121925281a8a94
1396a5123600a
144778153a400
152423a4c3664
hex131aac63210

1312830140944 has 135 divisors (see below), whose sum is σ = 2989648242063. Its totient is φ = 556852968000.

The previous prime is 1312830140893. The next prime is 1312830141041. The reversal of 1312830140944 is 4490410382131.

The square root of 1312830140944 is 1145788.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×13128301409442 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1312830140897 and 1312830140906.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4844391529 + ... + 4844391799.

Almost surely, 21312830140944 is an apocalyptic number.

1312830140944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1312830140944 is the 1145788-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312830140944

1312830140944 is an abundant number, since it is smaller than the sum of its proper divisors (1676818101119).

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

1312830140944 is an frugal number, since it uses more digits than its factorization.

1312830140944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 1312830140944 in words is "one trillion, three hundred twelve billion, eight hundred thirty million, one hundred forty thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 151 196 271 302 392 542 604 784 1057 1084 1208 1897 2114 2168 2416 3794 4228 4336 7399 7588 8456 13279 14798 15176 16912 22801 26558 29596 30352 40921 45602 53116 59192 73441 81842 91204 106232 118384 146882 159607 163684 182408 212464 286447 293764 319214 327368 364816 514087 572894 587528 638428 654736 1028174 1117249 1145788 1175056 1276856 2005129 2056348 2234498 2291576 2553712 3598609 4010258 4112696 4468996 4583152 6179071 7197218 8020516 8225392 8937992 11089591 12358142 14394436 16041032 17875984 22179182 24716284 28788872 32082064 43253497 44358364 49432568 57577744 77627137 86506994 88716728 98865136 155254274 173013988 177433456 302774479 310508548 346027976 543389959 605548958 621017096 692055952 1086779918 1211097916 1242034192 1674528241 2173559836 2422195832 3349056482 4347119672 4844391664 6698112964 8694239344 11721697687 13396225928 23443395374 26792451856 46886790748 82051883809 93773581496 164103767618 187547162992 328207535236 656415070472 1312830140944