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15141004050 = 2352191512233
BaseRepresentation
bin11100001100111100…
…10110001100010010
31110002012110200212210
432012132112030102
5222002044112200
610542232132550
71044131260644
oct160636261422
943065420783
1015141004050
11646a77a497
122b26837156
131573b183c3
14a38c4a894
155d93b8650
hex386796312

15141004050 has 144 divisors (see below), whose sum is σ = 39960254880. Its totient is φ = 3783456000.

The previous prime is 15141004037. The next prime is 15141004111. The reversal of 15141004050 is 5040014151.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64982734 + ... + 64982966.

It is an arithmetic number, because the mean of its divisors is an integer number (277501770).

Almost surely, 215141004050 is an apocalyptic number.

15141004050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15141004050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19980127440).

15141004050 is an abundant number, since it is smaller than the sum of its proper divisors (24819250830).

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

15141004050 is a wasteful number, since it uses less digits than its factorization.

15141004050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The spelling of 15141004050 in words is "fifteen billion, one hundred forty-one million, four thousand, fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 151 190 233 285 302 453 466 475 570 699 755 906 950 1165 1398 1425 1510 2265 2330 2850 2869 3495 3775 4427 4530 5738 5825 6990 7550 8607 8854 11325 11650 13281 14345 17214 17475 22135 22650 22801 26562 28690 34950 35183 43035 44270 45602 66405 68403 70366 71725 86070 105549 110675 114005 132810 136806 143450 175915 211098 215175 221350 228010 332025 342015 351830 430350 433219 527745 570025 664050 668477 684030 866438 879575 1055490 1140050 1299657 1336954 1710075 1759150 2005431 2166095 2599314 2638725 3342385 3420150 4010862 4332190 5277450 5312633 6498285 6684770 10027155 10625266 10830475 12996570 15937899 16711925 20054310 21660950 26563165 31875798 32491425 33423850 50135775 53126330 64982850 79689495 100271550 100940027 132815825 159378990 201880054 265631650 302820081 398447475 504700135 605640162 796894950 1009400270 1514100405 2523500675 3028200810 5047001350 7570502025 15141004050