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14354556040 = 23511535910433
BaseRepresentation
bin11010101111001100…
…10010010010001000
31101001101122000000201
431113212102102020
5213344231243130
610332215541544
71015501466416
oct152746222210
941041560021
1014354556040
1160a6855460
12294738a8b4
131479bcba56
149a260c2b6
1559031bbca
hex357992488

14354556040 has 128 divisors (see below), whose sum is σ = 36510652800. Its totient is φ = 5034065920.

The previous prime is 14354556011. The next prime is 14354556049. The reversal of 14354556040 is 4065545341.

It is not an unprimeable number, because it can be changed into a prime (14354556049) 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, 1370664 + ... + 1381096.

It is an arithmetic number, because the mean of its divisors is an integer number (285239475).

Almost surely, 214354556040 is an apocalyptic number.

14354556040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14354556040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18255326400).

14354556040 is an abundant number, since it is smaller than the sum of its proper divisors (22156096760).

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

14354556040 is a wasteful number, since it uses less digits than its factorization.

14354556040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10567 (or 10563 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 14354556040 in words is "fourteen billion, three hundred fifty-four million, five hundred fifty-six thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 59 88 106 110 118 212 220 236 265 295 424 440 472 530 583 590 649 1060 1166 1180 1298 2120 2332 2360 2596 2915 3127 3245 4664 5192 5830 6254 6490 10433 11660 12508 12980 15635 20866 23320 25016 25960 31270 34397 41732 52165 62540 68794 83464 104330 114763 125080 137588 171985 208660 229526 275176 343970 417320 459052 552949 573815 615547 687940 918104 1105898 1147630 1231094 1375880 2211796 2295260 2462188 2764745 3077735 4423592 4590520 4924376 5529490 6082439 6155470 6771017 11058980 12164878 12310940 13542034 22117960 24329756 24621880 27084068 30412195 32623991 33855085 48659512 54168136 60824390 65247982 67710170 121648780 130495964 135420340 163119955 243297560 260991928 270840680 326239910 358863901 652479820 717727802 1304959640 1435455604 1794319505 2870911208 3588639010 7177278020 14354556040