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14003223341100 = 22352711875617693
BaseRepresentation
bin1100101111000110000100…
…1001110010100000101100
31211120200202201012122111020
43023301201021302200230
53313412100133403400
645440554134254140
72643461633323350
oct313614111624054
954520681178436
1014003223341100
114509808570554
1216a1b031b7350
137a76629a5886
14365a8c5b1460
151943c8dac2a0
hexcbc6127282c

14003223341100 has 144 divisors (see below), whose sum is σ = 46343009357568. Its totient is φ = 3198039701760.

The previous prime is 14003223341059. The next prime is 14003223341123. The reversal of 14003223341100 is 114332230041.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316147 + ... + 5301546.

It is an arithmetic number, because the mean of its divisors is an integer number (321826453872).

Almost surely, 214003223341100 is an apocalyptic number.

14003223341100 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 14003223341100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23171504678784).

14003223341100 is an abundant number, since it is smaller than the sum of its proper divisors (32339786016468).

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

14003223341100 is a wasteful number, since it uses less digits than its factorization.

14003223341100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5618904 (or 5618897 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 14003223341100 its reverse (114332230041), we get a palindrome (14117555571141).

The spelling of 14003223341100 in words is "fourteen trillion, three billion, two hundred twenty-three million, three hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 1187 2100 2374 3561 4748 5935 7122 8309 11870 14244 16618 17805 23740 24927 29675 33236 35610 41545 49854 59350 71220 83090 89025 99708 118700 124635 166180 178050 207725 249270 356100 415450 498540 623175 830900 1246350 2492700 5617693 11235386 16853079 22470772 28088465 33706158 39323851 56176930 67412316 78647702 84265395 112353860 117971553 140442325 157295404 168530790 196619255 235943106 280884650 337061580 393238510 421326975 471886212 561769300 589857765 786477020 842653950 983096275 1179715530 1685307900 1966192550 2359431060 2949288825 3932385100 5898577650 6668201591 11797155300 13336403182 20004604773 26672806364 33341007955 40009209546 46677411137 66682015910 80018419092 93354822274 100023023865 133364031820 140032233411 166705039775 186709644548 200046047730 233387055685 280064466822 333410079550 400092095460 466774111370 500115119325 560128933644 666820159100 700161167055 933548222740 1000230238650 1166935278425 1400322334110 2000460477300 2333870556850 2800644668220 3500805835275 4667741113700 7001611670550 14003223341100