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1314004053024 = 253213595948519
BaseRepresentation
bin10011000111110000101…
…111101010110000100000
311122121200012110001111200
4103013300233222300200
5133012040014144044
62443351203041200
7163635150110325
oct23076057526040
94577605401450
101314004053024
114672a2039533
121927b5370200
1396baa4c5050
14478533d8b4c
15242a85a9369
hex131f0beac20

1314004053024 has 144 divisors (see below), whose sum is σ = 4092343819200. Its totient is φ = 397456178688.

The previous prime is 1314004052993. The next prime is 1314004053029. The reversal of 1314004053024 is 4203504004131.

It is a happy number.

1314004053024 is a `hidden beast` number, since 1 + 31 + 40 + 0 + 40 + 530 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1314004053029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2753364 + ... + 3195155.

It is an arithmetic number, because the mean of its divisors is an integer number (28419054300).

Almost surely, 21314004053024 is an apocalyptic number.

It is an amenable number.

1314004053024 is an abundant number, since it is smaller than the sum of its proper divisors (2778339766176).

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

1314004053024 is a wasteful number, since it uses less digits than its factorization.

1314004053024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5948607 (or 5948596 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1314004053024 its reverse (4203504004131), we get a palindrome (5517508057155).

The spelling of 1314004053024 in words is "one trillion, three hundred fourteen billion, four million, fifty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 59 72 78 96 104 117 118 144 156 177 208 234 236 288 312 354 416 468 472 531 624 708 767 936 944 1062 1248 1416 1534 1872 1888 2124 2301 2832 3068 3744 4248 4602 5664 6136 6903 8496 9204 12272 13806 16992 18408 24544 27612 36816 55224 73632 110448 220896 5948519 11897038 17845557 23794076 35691114 47588152 53536671 71382228 77330747 95176304 107073342 142764456 154661494 190352608 214146684 231992241 285528912 309322988 350962621 428293368 463984482 571057824 618645976 695976723 701925242 856586736 927968964 1052887863 1237291952 1391953446 1403850484 1713173472 1855937928 2105775726 2474583904 2783906892 2807700968 3158663589 3711875856 4211551452 4562514073 5567813784 5615401936 6317327178 7423751712 8423102904 9125028146 11135627568 11230803872 12634654356 13687542219 16846205808 18250056292 22271255136 25269308712 27375084438 33692411616 36500112584 41062626657 50538617424 54750168876 73000225168 82125253314 101077234848 109500337752 146000450336 164250506628 219000675504 328501013256 438001351008 657002026512 1314004053024