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14541243504 = 2431074316569
BaseRepresentation
bin11011000101011100…
…11100010001110000
31101112101220201002020
431202232130101300
5214240024243004
610402525151440
71023226346634
oct154256342160
941471821066
1014541243504
116192175517
1229999bb580
1314a97a47c8
149bd326dc4
155a18e68d9
hex362b9c470

14541243504 has 80 divisors (see below), whose sum is σ = 38009710080. Its totient is φ = 4789911040.

The previous prime is 14541243503. The next prime is 14541243569. The reversal of 14541243504 is 40534214541.

It is a happy number.

It is a super-2 number, since 2×145412435042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14541243503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2210332 + ... + 2216900.

It is an arithmetic number, because the mean of its divisors is an integer number (475121376).

Almost surely, 214541243504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14541243504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19004855040).

14541243504 is an abundant number, since it is smaller than the sum of its proper divisors (23468466576).

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

14541243504 is a wasteful number, since it uses less digits than its factorization.

14541243504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7118 (or 7112 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 14541243504 in words is "fourteen billion, five hundred forty-one million, two hundred forty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 431 642 856 862 1284 1293 1712 1724 2568 2586 3448 5136 5172 6569 6896 10344 13138 19707 20688 26276 39414 46117 52552 78828 92234 105104 138351 157656 184468 276702 315312 368936 553404 702883 737872 1106808 1405766 2108649 2213616 2811532 2831239 4217298 5623064 5662478 8434596 8493717 11246128 11324956 16869192 16987434 22649912 33738384 33974868 45299824 67949736 135899472 302942573 605885146 908827719 1211770292 1817655438 2423540584 3635310876 4847081168 7270621752 14541243504