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14154106341152 = 251777394735543
BaseRepresentation
bin1100110111111000001001…
…1110110000011100100000
31212010010020000012012201102
43031332002132300130200
53323400102210404102
650034150124453532
72660412643550651
oct315760236603440
955103200165642
1014154106341152
1145677a503a708
1217071b16aa2a8
137b895a17896b
1436d0c3335528
151982aa25b402
hexcdf827b0720

14154106341152 has 96 divisors (see below), whose sum is σ = 29575265553792. Its totient is φ = 6644927770624.

The previous prime is 14154106341149. The next prime is 14154106341191. The reversal of 14154106341152 is 25114360145141.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398207093 + ... + 398242635.

It is an arithmetic number, because the mean of its divisors is an integer number (308075682852).

Almost surely, 214154106341152 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 14154106341152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14787632776896).

14154106341152 is an abundant number, since it is smaller than the sum of its proper divisors (15421159212640).

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

14154106341152 is a wasteful number, since it uses less digits than its factorization.

14154106341152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37290 (or 37282 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

Adding to 14154106341152 its reverse (25114360145141), we get a palindrome (39268466486293).

The spelling of 14154106341152 in words is "fourteen trillion, one hundred fifty-four billion, one hundred six million, three hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 773 947 1546 1894 3092 3788 6184 7576 12368 13141 15152 16099 24736 26282 30304 32198 35543 52564 64396 71086 105128 128792 142172 210256 257584 284344 420512 515168 568688 604231 732031 1137376 1208462 1464062 2416924 2928124 4833848 5856248 9667696 11712496 12444527 19335392 23424992 24889054 27474739 33659221 49778108 54949478 67318442 99556216 109898956 134636884 199112432 219797912 269273768 398224864 439595824 467070563 538547536 572206757 879191648 934141126 1077095072 1144413514 1868282252 2288827028 3736564504 4577654056 7473129008 9155308112 14946258016 18310616224 26018577833 52037155666 104074311332 208148622664 416297245328 442315823161 832594490656 884631646322 1769263292644 3538526585288 7077053170576 14154106341152