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13141243710 = 2335747147937
BaseRepresentation
bin11000011110100011…
…10111011100111110
31020220211120100102000
430033101313130332
5203403124244320
610011554243130
7643436504610
oct141721673476
936824510360
1013141243710
1156339869a1
122668b864a6
13131572616a
148c9414db0
1551da51c90
hex30f47773e

13141243710 has 128 divisors (see below), whose sum is σ = 40901898240. Its totient is φ = 2939784192.

The previous prime is 13141243681. The next prime is 13141243741. The reversal of 13141243710 is 1734214131.

It is a super-2 number, since 2×131412437102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14862 + ... + 162798.

It is an arithmetic number, because the mean of its divisors is an integer number (319546080).

Almost surely, 213141243710 is an apocalyptic number.

13141243710 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 13141243710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20450949120).

13141243710 is an abundant number, since it is smaller than the sum of its proper divisors (27760654530).

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

13141243710 is a wasteful number, since it uses less digits than its factorization.

13141243710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148007 (or 148001 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 13141243710 its reverse (1734214131), we get a palindrome (14875457841).

The spelling of 13141243710 in words is "thirteen billion, one hundred forty-one million, two hundred forty-three thousand, seven hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 47 54 63 70 90 94 105 126 135 141 189 210 235 270 282 315 329 378 423 470 630 658 705 846 945 987 1269 1410 1645 1890 1974 2115 2538 2961 3290 4230 4935 5922 6345 8883 9870 12690 14805 17766 29610 44415 88830 147937 295874 443811 739685 887622 1035559 1331433 1479370 2071118 2219055 2662866 3106677 3994299 4438110 5177795 6213354 6657165 6953039 7988598 9320031 10355590 13314330 13906078 15533385 18640062 19971495 20859117 27960093 31066770 34765195 39942990 41718234 46600155 48671273 55920186 62577351 69530390 93200310 97342546 104295585 125154702 139800465 146013819 187732053 208591170 243356365 279600930 292027638 312886755 375464106 438041457 486712730 625773510 730069095 876082914 938660265 1314124371 1460138190 1877320530 2190207285 2628248742 4380414570 6570621855 13141243710