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14012021042300 = 22521719606771503
BaseRepresentation
bin1100101111100110110110…
…0010010110110001111100
31211121112110211122011201102
43023321231202112301330
53314033104341323200
645445011131432232
72644222641464111
oct313715542266174
954545424564642
1014012021042300
114512512649696
1216a37595b5678
137a8435575428
14366284ba6908
151947414286d5
hexcbe6d896c7c

14012021042300 has 144 divisors (see below), whose sum is σ = 33895195568640. Its totient is φ = 4996582640640.

The previous prime is 14012021042293. The next prime is 14012021042303. The reversal of 14012021042300 is 324012021041.

It is a super-3 number, since 3×140120210423003 (a number of 40 digits) contains 333 as substring.

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 (14012021042303) 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, 195928349 + ... + 195999851.

It is an arithmetic number, because the mean of its divisors is an integer number (235383302560).

Almost surely, 214012021042300 is an apocalyptic number.

14012021042300 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 14012021042300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16947597784320).

14012021042300 is an abundant number, since it is smaller than the sum of its proper divisors (19883174526340).

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

14012021042300 is a wasteful number, since it uses less digits than its factorization.

14012021042300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77620 (or 77613 counting only the distinct ones).

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

Adding to 14012021042300 its reverse (324012021041), we get a palindrome (14336033063341).

The spelling of 14012021042300 in words is "fourteen trillion, twelve billion, twenty-one million, forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 170 190 323 340 380 425 475 646 850 950 1292 1615 1700 1900 3230 6067 6460 8075 12134 16150 24268 30335 32300 60670 71503 103139 115273 121340 143006 151675 206278 230546 286012 303350 357515 412556 461092 515695 576365 606700 715030 1031390 1152730 1215551 1358557 1430060 1787575 1959641 2062780 2305460 2431102 2578475 2717114 2881825 3575150 3919282 4862204 5156950 5434228 5763650 6077755 6792785 7150300 7838564 9798205 10313900 11527300 12155510 13585570 19596410 23095469 24311020 27171140 30388775 33963925 39192820 46190938 48991025 60777550 67927850 92381876 97982050 115477345 121555100 135855700 195964100 230954690 433808701 461909380 577386725 867617402 1154773450 1735234804 2169043505 2309546900 4338087010 7374747917 8242365319 8676174020 10845217525 14749495834 16484730638 21690435050 29498991668 32969461276 36873739585 41211826595 43380870100 73747479170 82423653190 140120210423 147494958340 164847306380 184368697925 206059132975 280240420846 368737395850 412118265950 560480841692 700601052115 737474791700 824236531900 1401202104230 2802404208460 3503005260575 7006010521150 14012021042300