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1448325688941 = 341961127331367
BaseRepresentation
bin10101000100110110111…
…100000010111001101101
312010110101022022011010000
4111010312330002321231
5142212132334021231
63025203541534513
7206431601142315
oct25046674027155
95113338264100
101448325688941
1150926010369a
121b4841414439
13a6765822ca1
1450156820445
1527a1aa276e6
hex15136f02e6d

1448325688941 has 160 divisors (see below), whose sum is σ = 2346404741120. Its totient is φ = 887530089600.

The previous prime is 1448325688939. The next prime is 1448325688949. The reversal of 1448325688941 is 1498865238441.

It is a happy number.

1448325688941 is a `hidden beast` number, since 1 + 4 + 483 + 2 + 5 + 68 + 8 + 94 + 1 = 666.

It is not a de Polignac number, because 1448325688941 - 21 = 1448325688939 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1448325688949) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3946391340 + ... + 3946391706.

It is an arithmetic number, because the mean of its divisors is an integer number (14665029632).

Almost surely, 21448325688941 is an apocalyptic number.

It is an amenable number.

1448325688941 is a deficient number, since it is larger than the sum of its proper divisors (898079052179).

1448325688941 is a wasteful number, since it uses less digits than its factorization.

1448325688941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 908 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 63.

The spelling of 1448325688941 in words is "one trillion, four hundred forty-eight billion, three hundred twenty-five million, six hundred eighty-eight thousand, nine hundred forty-one".

Divisors: 1 3 9 19 27 57 61 81 127 171 183 331 367 381 513 549 993 1101 1143 1159 1539 1647 2413 2979 3303 3429 3477 4941 6289 6973 7239 7747 8937 9909 10287 10431 18867 20191 20919 21717 22387 23241 26811 29727 31293 42037 46609 56601 60573 62757 65151 67161 69723 93879 121477 126111 139827 147193 169803 181719 188271 195453 201483 209169 364431 378333 383629 419481 425353 441579 509409 545157 564813 604449 627507 798703 885571 1093293 1134999 1150887 1258443 1276059 1324737 1635471 1813347 2308063 2396109 2564257 2656713 2843149 3279879 3404997 3452661 3775329 3828177 3974211 6924189 7188327 7410097 7692771 7970139 8529447 9839637 10357983 11484531 11922633 15427579 20772567 21564981 22230291 23078313 23910417 25588341 31073949 34453593 46282737 48720883 54019831 62317701 64694943 66690873 69234939 71731251 76765023 138848211 140791843 146162649 162059493 186953103 200072619 207704817 230295069 293124001 416544633 422375529 438487947 486178479 600217857 879372003 941082319 1249633899 1267126587 1315463841 1458535437 2638116009 2823246957 3801379761 3946391523 4375606311 7914348027 8469740871 11404139283 17880564061 23743044081 25409222613 53641692183 76227667839 160925076549 482775229647 1448325688941