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14198190991350 = 2352269391789833
BaseRepresentation
bin1100111010011100011000…
…1000010110011111110110
31212021100000100020110220120
43032213012020112133312
53330110343343210400
650110320415512410
72663533260106632
oct316470610263766
955240010213816
1014198190991350
114584467739913
121713855528706
137bcb6454a7b2
143712a61addc2
151994da639ca0
hexce9c62167f6

14198190991350 has 96 divisors (see below), whose sum is σ = 35351827829280. Its totient is φ = 3771104240640.

The previous prime is 14198190991297. The next prime is 14198190991351. The reversal of 14198190991350 is 5319909189141.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14198190991351) 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, 158006034 + ... + 158095866.

It is an arithmetic number, because the mean of its divisors is an integer number (368248206555).

Almost surely, 214198190991350 is an apocalyptic number.

14198190991350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14198190991350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17675913914640).

14198190991350 is an abundant number, since it is smaller than the sum of its proper divisors (21153636837930).

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

14198190991350 is a wasteful number, since it uses less digits than its factorization.

14198190991350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94034 (or 94029 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 60.

The spelling of 14198190991350 in words is "fourteen trillion, one hundred ninety-eight billion, one hundred ninety million, nine hundred ninety-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 269 538 807 1345 1614 2690 3917 4035 6725 7834 8070 11751 13450 19585 20175 23502 39170 40350 58755 89833 97925 117510 179666 195850 269499 293775 449165 538998 587550 898330 1053673 1347495 2107346 2245825 2694990 3161019 4491650 5268365 6322038 6737475 10536730 13474950 15805095 24165077 26341825 31610190 48330154 52683650 72495231 79025475 120825385 144990462 158050950 241650770 351875861 362476155 604126925 703751722 724952310 1055627583 1208253850 1759379305 1812380775 2111255166 3518758610 3624761550 5278137915 8796896525 10556275830 17593793050 26390689575 52781379150 94654606609 189309213218 283963819827 473273033045 567927639654 946546066090 1419819099135 2366365165225 2839638198270 4732730330450 7099095495675 14198190991350