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14186954240 = 29517325987
BaseRepresentation
bin11010011011001101…
…11011111000000000
31100121201020221120122
431031212323320000
5213023330013430
610303431355412
71011365056424
oct151546737000
940551227518
1014186954240
116020190778
1228bb222b68
1314512791a4
14988260b84
15580761ee5
hex34d9bbe00

14186954240 has 80 divisors (see below), whose sum is σ = 36016458192. Its totient is φ = 5340954624.

The previous prime is 14186954233. The next prime is 14186954273. The reversal of 14186954240 is 4245968141.

14186954240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 14186954191 and 14186954200.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 119474 + ... + 206513.

Almost surely, 214186954240 is an apocalyptic number.

14186954240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14186954240 is an abundant number, since it is smaller than the sum of its proper divisors (21829503952).

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

14186954240 is an equidigital number, since it uses as much as digits as its factorization.

14186954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326027 (or 326011 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 14186954240 in words is "fourteen billion, one hundred eighty-six million, nine hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1088 1280 1360 2176 2560 2720 4352 5440 8704 10880 21760 43520 325987 651974 1303948 1629935 2607896 3259870 5215792 5541779 6519740 10431584 11083558 13039480 20863168 22167116 26078960 27708895 41726336 44334232 52157920 55417790 83452672 88668464 104315840 110835580 166905344 177336928 208631680 221671160 354673856 417263360 443342320 709347712 834526720 886684640 1418695424 1773369280 2837390848 3546738560 7093477120 14186954240