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14314650627648 = 263728373754241
BaseRepresentation
bin1101000001001110001110…
…1010100110111001000000
31212200110121121120222102110
43100103203222212321000
53334012401030041043
650240020522015320
73005125246511160
oct320234352467100
955613547528373
1014314650627648
11461989a108318
121732337647540
137cab341052a7
14376b9324c5a0
1519c5548adb33
hexd04e3aa6e40

14314650627648 has 112 divisors (see below), whose sum is σ = 43300045666944. Its totient is φ = 4088457461760.

The previous prime is 14314650627569. The next prime is 14314650627659. The reversal of 14314650627648 is 84672605641341.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1935808 + ... + 5690048.

Almost surely, 214314650627648 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 14314650627648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21650022833472).

14314650627648 is an abundant number, since it is smaller than the sum of its proper divisors (28985395039296).

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

14314650627648 is a wasteful number, since it uses less digits than its factorization.

14314650627648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3757100 (or 3757090 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 14314650627648 in words is "fourteen trillion, three hundred fourteen billion, six hundred fifty million, six hundred twenty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 2837 5674 8511 11348 17022 19859 22696 34044 39718 45392 59577 68088 79436 90784 119154 136176 158872 181568 238308 272352 317744 476616 544704 635488 953232 1270976 1906464 3754241 3812928 7508482 11262723 15016964 22525446 26279687 30033928 45050892 52559374 60067856 78839061 90101784 105118748 120135712 157678122 180203568 210237496 240271424 315356244 360407136 420474992 630712488 720814272 840949984 1261424976 1681899968 2522849952 5045699904 10650781717 21301563434 31952345151 42603126868 63904690302 74555472019 85206253736 127809380604 149110944038 170412507472 223666416057 255618761208 298221888076 340825014944 447332832114 511237522416 596443776152 681650029888 894665664228 1022475044832 1192887552304 1789331328456 2044950089664 2385775104608 3578662656912 4771550209216 7157325313824 14314650627648