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14540670102700 = 22527131401395431
BaseRepresentation
bin1101001110011000001101…
…1110011110110010101100
31220111002000022002221121001
43103212003132132302230
53401213243021241300
650531520331450044
73030346234402060
oct323460336366254
956432008087531
1014540670102700
1146a6733220205
12176a0b4bb6924
13816243c26341
14383ab4c53aa0
151a338228216a
hexd398379ecac

14540670102700 has 144 divisors (see below), whose sum is σ = 36426841532928. Its totient is φ = 4934966400000.

The previous prime is 14540670102557. The next prime is 14540670102703. The reversal of 14540670102700 is 720107604541.

It is a super-2 number, since 2×145406701027002 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14540670102700.

It is not an unprimeable number, because it can be changed into a prime (14540670102703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36573985 + ... + 36969415.

It is an arithmetic number, because the mean of its divisors is an integer number (252964177312).

Almost surely, 214540670102700 is an apocalyptic number.

14540670102700 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 14540670102700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18213420766464).

14540670102700 is an abundant number, since it is smaller than the sum of its proper divisors (21886171430228).

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

14540670102700 is a wasteful number, since it uses less digits than its factorization.

14540670102700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395984 (or 395977 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The spelling of 14540670102700 in words is "fourteen trillion, five hundred forty billion, six hundred seventy million, one hundred two thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 131 140 175 262 350 401 524 655 700 802 917 1310 1604 1834 2005 2620 2807 3275 3668 4010 4585 5614 6550 8020 9170 10025 11228 13100 14035 18340 20050 22925 28070 40100 45850 52531 56140 70175 91700 105062 140350 210124 262655 280700 367717 395431 525310 735434 790862 1050620 1313275 1470868 1581724 1838585 1977155 2626550 2768017 3677170 3954310 5253100 5536034 7354340 7908620 9192925 9885775 11072068 13840085 18385850 19771550 27680170 36771700 39543100 51801461 55360340 69200425 103602922 138400850 158567831 207205844 259007305 276801700 317135662 362610227 518014610 634271324 725220454 792839155 1036029220 1109974817 1295036525 1450440908 1585678310 1813051135 2219949634 2590073050 3171356620 3626102270 3964195775 4439899268 5180146100 5549874085 7252204540 7928391550 9065255675 11099748170 15856783100 18130511350 20772385861 22199496340 27749370425 36261022700 41544771722 55498740850 83089543444 103861929305 110997481700 145406701027 207723858610 290813402054 415447717220 519309646525 581626804108 727033505135 1038619293050 1454067010270 2077238586100 2908134020540 3635167525675 7270335051350 14540670102700