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14204145021520 = 24519139307218987
BaseRepresentation
bin1100111010110010100100…
…0001001011001001010000
31212021220101021210112211111
43032230221001023021100
53330210042111142040
650113143311223104
72664133645404316
oct316545101131120
955256337715744
1014204145021520
114586a42621903
121714a37517a94
137c05a2c3c67c
143716acc540b6
151997381e1dea
hexceb2904b250

14204145021520 has 160 divisors (see below), whose sum is σ = 35127076723200. Its totient is φ = 5326468305408.

The previous prime is 14204145021509. The next prime is 14204145021529. The reversal of 14204145021520 is 2512054140241.

It is a super-2 number, since 2×142041450215202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14204145021529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64753467 + ... + 64972453.

It is an arithmetic number, because the mean of its divisors is an integer number (219544229520).

Almost surely, 214204145021520 is an apocalyptic number.

14204145021520 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 14204145021520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17563538361600).

14204145021520 is an abundant number, since it is smaller than the sum of its proper divisors (20922931701680).

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

14204145021520 is a wasteful number, since it uses less digits than its factorization.

14204145021520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219465 (or 219459 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

Adding to 14204145021520 its reverse (2512054140241), we get a palindrome (16716199161761).

The spelling of 14204145021520 in words is "fourteen trillion, two hundred four billion, one hundred forty-five million, twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 139 152 190 278 304 307 380 556 614 695 760 1112 1228 1390 1520 1535 2224 2456 2641 2780 3070 4912 5282 5560 5833 6140 10564 11120 11666 12280 13205 21128 23332 24560 26410 29165 42256 42673 46664 52820 58330 85346 93328 105640 116660 170692 211280 213365 218987 233320 341384 426730 437974 466640 682768 810787 853460 875948 1094935 1621574 1706920 1751896 2189870 3243148 3413840 3503792 4053935 4160753 4379740 6486296 8107870 8321506 8759480 12972592 16215740 16643012 17518960 20803765 30439193 32431480 33286024 41607530 60878386 64862960 66572048 67229009 83215060 121756772 134458018 152195965 166430120 243513544 268916036 304391930 332860240 336145045 487027088 537832072 578344667 608783860 672290090 1075664144 1156689334 1217567720 1277351171 1344580180 2313378668 2435135440 2554702342 2689160360 2891723335 4626757336 5109404684 5378320720 5783446670 6386755855 9253514672 9344832251 10218809368 11566893340 12773511710 18689664502 20437618736 23133786680 25547023420 37379329004 46267573360 46724161255 51094046840 74758658008 93448322510 102188093680 149517316016 177551812769 186896645020 355103625538 373793290040 710207251076 747586580080 887759063845 1420414502152 1775518127690 2840829004304 3551036255380 7102072510760 14204145021520