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14101202142504 = 23321913775240119
BaseRepresentation
bin1100110100110011000100…
…1001010000010100101000
31211221001200000121110111200
43031030301021100110220
53322013230222030004
645554000340124200
72653530635356521
oct315146111202450
954831600543450
1014101202142504
114547316aa0194
1216b8aa8096660
137b39788280c9
1436a705019848
15196c10948239
hexcd331250528

14101202142504 has 96 divisors (see below), whose sum is σ = 40494232584000. Its totient is φ = 4420507412736.

The previous prime is 14101202142491. The next prime is 14101202142563. The reversal of 14101202142504 is 40524120210141.

14101202142504 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 12 + 0 + 2 + 142 + 504 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37432644 + ... + 37807475.

It is an arithmetic number, because the mean of its divisors is an integer number (421814922750).

Almost surely, 214101202142504 is an apocalyptic number.

It is an amenable number.

14101202142504 is an abundant number, since it is smaller than the sum of its proper divisors (26393030441496).

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

14101202142504 is a wasteful number, since it uses less digits than its factorization.

14101202142504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75240287 (or 75240280 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 14101202142504 its reverse (40524120210141), we get a palindrome (54625322352645).

The spelling of 14101202142504 in words is "fourteen trillion, one hundred one billion, two hundred two million, one hundred forty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 137 152 171 228 274 342 411 456 548 684 822 1096 1233 1368 1644 2466 2603 3288 4932 5206 7809 9864 10412 15618 20824 23427 31236 46854 62472 93708 187416 75240119 150480238 225720357 300960476 451440714 601920952 677161071 902881428 1354322142 1429562261 1805762856 2708644284 2859124522 4288686783 5417288568 5718249044 8577373566 10307896303 11436498088 12866060349 17154747132 20615792606 25732120698 30923688909 34309494264 41231585212 51464241396 61847377818 82463170424 92771066727 102928482792 123694755636 185542133454 195850029757 247389511272 371084266908 391700059514 587550089271 742168533816 783400119028 1175100178542 1566800238056 1762650267813 2350200357084 3525300535626 4700400714168 7050601071252 14101202142504