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14314892952 = 2337397131643
BaseRepresentation
bin11010101010011101…
…11110111010011000
31100221121222220111110
431111032332322120
5213304103033302
610324241500320
71014510403533
oct152516767230
940847886443
1014314892952
116086424a48
1229360416a0
131471922679
1499b245a1a
1558bad4b6c
hex3553bee98

14314892952 has 128 divisors (see below), whose sum is σ = 36988680960. Its totient is φ = 4615004160.

The previous prime is 14314892903. The next prime is 14314892953. The reversal of 14314892952 is 25929841341.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14314892953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22262343 + ... + 22262985.

It is an arithmetic number, because the mean of its divisors is an integer number (288974070).

Almost surely, 214314892952 is an apocalyptic number.

14314892952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14314892952 is an abundant number, since it is smaller than the sum of its proper divisors (22673788008).

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

14314892952 is a wasteful number, since it uses less digits than its factorization.

14314892952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 949 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The spelling of 14314892952 in words is "fourteen billion, three hundred fourteen million, eight hundred ninety-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 73 97 131 146 194 219 262 291 292 388 393 438 524 582 584 643 776 786 876 1048 1164 1286 1572 1752 1929 2328 2572 3144 3858 5144 7081 7716 9563 12707 14162 15432 19126 21243 25414 28324 28689 38121 38252 42486 46939 50828 56648 57378 62371 76242 76504 84233 84972 93878 101656 114756 124742 140817 152484 168466 169944 187113 187756 229512 249484 252699 281634 304968 336932 374226 375512 498968 505398 563268 673864 748452 927611 1010796 1126536 1496904 1855222 2021592 2782833 3710444 4553083 5565666 6149009 7420888 8170601 9106166 11131332 12298018 13659249 16341202 18212332 18447027 22262664 24511803 24596036 27318498 32682404 36424664 36894054 49023606 49192072 54636996 65364808 73788108 98047212 109273992 147576216 196094424 596453873 1192907746 1789361619 2385815492 3578723238 4771630984 7157446476 14314892952