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14001224102300 = 22521921312960653
BaseRepresentation
bin1100101110111110100111…
…1111010011000110011100
31211120111121101021210102202
43023233221333103012130
53313344001332233200
645440023515511032
72643361246141661
oct313575177230634
954514541253382
1014001224102300
114508981aa3886
1216a1645758478
137a7404736b36
1436593cc73a68
1519430d5ea1d5
hexcbbe9fd319c

14001224102300 has 108 divisors (see below), whose sum is σ = 32310694780056. Its totient is φ = 5265223516800.

The previous prime is 14001224102197. The next prime is 14001224102303. The reversal of 14001224102300 is 320142210041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001224102303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3248774 + ... + 6209426.

Almost surely, 214001224102300 is an apocalyptic number.

14001224102300 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 14001224102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16155347390028).

14001224102300 is an abundant number, since it is smaller than the sum of its proper divisors (18309470677756).

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

14001224102300 is a wasteful number, since it uses less digits than its factorization.

14001224102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960836 (or 2960810 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14001224102300 its reverse (320142210041), we get a palindrome (14321366312341).

The spelling of 14001224102300 in words is "fourteen trillion, one billion, two hundred twenty-four million, one hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 131 190 262 361 380 475 524 655 722 950 1310 1444 1805 1900 2489 2620 3275 3610 4978 6550 7220 9025 9956 12445 13100 18050 24890 36100 47291 49780 62225 94582 124450 189164 236455 248900 472910 945820 1182275 2364550 2960653 4729100 5921306 11842612 14803265 29606530 56252407 59213060 74016325 112504814 148032650 225009628 281262035 296065300 387845543 562524070 775691086 1068795733 1125048140 1406310175 1551382172 1939227715 2137591466 2812620350 3878455430 4275182932 5343978665 5625240700 7369065317 7756910860 9696138575 10687957330 14738130634 19392277150 21375914660 26719893325 29476261268 36845326585 38784554300 53439786650 73690653170 106879573300 140012241023 147381306340 184226632925 280024482046 368453265850 560048964092 700061205115 736906531700 1400122410230 2800244820460 3500306025575 7000612051150 14001224102300