Search a number
-
+
14100134025240 = 2333536735574059
BaseRepresentation
bin1100110100101111000101…
…1110101101100000011000
31211220221220120202111002000
43031023301132231200120
53322004033302301430
645553302342441000
72653462315463154
oct315136136554030
954827816674060
1014100134025240
11454691908194a
1216b884a433160
137b383845b363
1436a64321a064
15196b9bcade60
hexcd2f17ad818

14100134025240 has 128 divisors (see below), whose sum is σ = 47128514688000. Its totient is φ = 3749790305664.

The previous prime is 14100134025239. The next prime is 14100134025287. The reversal of 14100134025240 is 4252043100141.

14100134025240 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 0 + 13 + 402 + 5 + 240 = 666.

14100134025240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 17390670 + ... + 18183389.

It is an arithmetic number, because the mean of its divisors is an integer number (368191521000).

Almost surely, 214100134025240 is an apocalyptic number.

14100134025240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14100134025240 is an abundant number, since it is smaller than the sum of its proper divisors (33028380662760).

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

14100134025240 is a wasteful number, since it uses less digits than its factorization.

14100134025240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35574446 (or 35574436 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 14100134025240 its reverse (4252043100141), we get a palindrome (18352177125381).

The spelling of 14100134025240 in words is "fourteen trillion, one hundred billion, one hundred thirty-four million, twenty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 367 540 734 1080 1101 1468 1835 2202 2936 3303 3670 4404 5505 6606 7340 8808 9909 11010 13212 14680 16515 19818 22020 26424 33030 39636 44040 49545 66060 79272 99090 132120 198180 396360 35574059 71148118 106722177 142296236 177870295 213444354 284592472 320166531 355740590 426888708 533610885 640333062 711481180 853777416 960499593 1067221770 1280666124 1422962360 1600832655 1920999186 2134443540 2561332248 3201665310 3841998372 4268887080 4802497965 6403330620 7683996744 9604995930 12806661240 13055679653 19209991860 26111359306 38419983720 39167038959 52222718612 65278398265 78334077918 104445437224 117501116877 130556796530 156668155836 195835194795 235002233754 261113593060 313336311672 352503350631 391670389590 470004467508 522227186120 587505584385 705006701262 783340779180 940008935016 1175011168770 1410013402524 1566681558360 1762516753155 2350022337540 2820026805048 3525033506310 4700044675080 7050067012620 14100134025240