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134141040 = 243251116937
BaseRepresentation
bin1111111111011…
…01010001110000
3100100102001220200
413333231101300
5233320003130
621151035200
73216115515
oct777552160
9310361820
10134141040
11697a0170
1238b0bb00
1321a385c7
1413b5b30c
15bb9a760
hex7fed470

134141040 has 120 divisors (see below), whose sum is σ = 491473008. Its totient is φ = 32517120.

The previous prime is 134141017. The next prime is 134141071. The reversal of 134141040 is 40141431.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1341410402 = 35987637224563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549 + ... + 16388.

Almost surely, 2134141040 is an apocalyptic number.

134141040 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 134141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245736504).

134141040 is an abundant number, since it is smaller than the sum of its proper divisors (357331968).

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

134141040 is a wasteful number, since it uses less digits than its factorization.

134141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16967 (or 16958 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 134141040 is about 11581.9273007561. The cubic root of 134141040 is about 511.9024675873.

Adding to 134141040 its reverse (40141431), we get a palindrome (174282471).

The spelling of 134141040 in words is "one hundred thirty-four million, one hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 16937 33874 50811 67748 84685 101622 135496 152433 169370 186307 203244 254055 270992 304866 338740 372614 406488 508110 558921 609732 677480 745228 762165 812976 931535 1016220 1117842 1219464 1354960 1490456 1524330 1676763 1863070 2032440 2235684 2438928 2794605 2980912 3048660 3353526 3726140 4064880 4471368 5589210 6097320 6707052 7452280 8383815 8942736 11178420 12194640 13414104 14904560 16767630 22356840 26828208 33535260 44713680 67070520 134141040