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14542522000 = 245361199599
BaseRepresentation
bin11011000101100110…
…10100011010010000
31101112111022122211221
431202303110122100
5214240341201000
610403012414424
71023243253216
oct154263243220
941474278757
1014542522000
116192969026
12299a317414
1314a9b31706
149bd57acb6
155a1a9a61a
hex362cd4690

14542522000 has 160 divisors (see below), whose sum is σ = 35979840000. Its totient is φ = 5683392000.

The previous prime is 14542521919. The next prime is 14542522009. The reversal of 14542522000 is 22524541.

It is a super-2 number, since 2×145425220002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (14542522009) 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, 24277701 + ... + 24278299.

It is an arithmetic number, because the mean of its divisors is an integer number (224874000).

Almost surely, 214542522000 is an apocalyptic number.

14542522000 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 14542522000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17989920000).

14542522000 is an abundant number, since it is smaller than the sum of its proper divisors (21437318000).

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

14542522000 is a wasteful number, since it uses less digits than its factorization.

14542522000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The spelling of 14542522000 in words is "fourteen billion, five hundred forty-two million, five hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 199 200 244 250 305 398 400 488 500 599 610 796 976 995 1000 1198 1220 1525 1592 1990 2000 2396 2440 2995 3050 3184 3980 4792 4880 4975 5990 6100 7625 7960 9584 9950 11980 12139 12200 14975 15250 15920 19900 23960 24278 24400 24875 29950 30500 36539 39800 47920 48556 49750 59900 60695 61000 73078 74875 79600 97112 99500 119201 119800 121390 122000 146156 149750 182695 194224 199000 238402 239600 242780 292312 299500 303475 365390 398000 476804 485560 584624 596005 599000 606950 730780 913475 953608 971120 1192010 1198000 1213900 1461560 1517375 1826950 1907216 2384020 2427800 2923120 2980025 3034750 3653900 4567375 4768040 4855600 5960050 6069500 7271261 7307800 9134750 9536080 11920100 12139000 14542522 14615600 14900125 18269500 23840200 24278000 29085044 29800250 36356305 36539000 47680400 58170088 59600500 72712610 73078000 116340176 119201000 145425220 181781525 238402000 290850440 363563050 581700880 727126100 908907625 1454252200 1817815250 2908504400 3635630500 7271261000 14542522000