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14135353801128 = 2333755011699469
BaseRepresentation
bin1100110110110010010010…
…1111011111100110101000
31212001022211002222110212000
43031230210233133212220
53323043201033114003
650021405240451000
72656150146600420
oct315544457374650
955038732873760
1014135353801128
11455a85179284a
121703639479a60
137b6c5c071731
1436c2249b5480
15197a5dca31a3
hexcdb24bdf9a8

14135353801128 has 128 divisors (see below), whose sum is σ = 44882322912000. Its totient is φ = 4037935968000.

The previous prime is 14135353801117. The next prime is 14135353801141. The reversal of 14135353801128 is 82110835353141.

14135353801128 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 535 + 3 + 80 + 11 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7467778 + ... + 9167246.

It is an arithmetic number, because the mean of its divisors is an integer number (350643147750).

Almost surely, 214135353801128 is an apocalyptic number.

14135353801128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14135353801128 is an abundant number, since it is smaller than the sum of its proper divisors (30746969110872).

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

14135353801128 is a wasteful number, since it uses less digits than its factorization.

14135353801128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704992 (or 1704982 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 14135353801128 in words is "fourteen trillion, one hundred thirty-five billion, three hundred fifty-three million, eight hundred one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 5501 11002 16503 22004 33006 38507 44008 49509 66012 77014 99018 115521 132024 148527 154028 198036 231042 297054 308056 346563 396072 462084 594108 693126 924168 1039689 1188216 1386252 1699469 2079378 2772504 3398938 4158756 5098407 6797876 8317512 10196814 11896283 13595752 15295221 20393628 23792566 30590442 35688849 40787256 45885663 47585132 61180884 71377698 91771326 95170264 107066547 122361768 142755396 183542652 214133094 285510792 321199641 367085304 428266188 642399282 856532376 1284798564 2569597128 9348778969 18697557938 28046336907 37395115876 56092673814 65441452783 74790231752 84139010721 112185347628 130882905566 168278021442 196324358349 224370695256 252417032163 261765811132 336556042884 392648716698 504834064326 523531622264 588973075047 673112085768 785297433396 1009668128652 1177946150094 1570594866792 1766919225141 2019336257304 2355892300188 3533838450282 4711784600376 7067676900564 14135353801128