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134041440 = 25351321481
BaseRepresentation
bin1111111110101…
…00111101100000
3100100020000021210
413333110331200
5233303311230
621144550120
73215222241
oct777247540
9310200253
10134041440
1169732355
1238a82340
1321a02180
1413b32cc8
15bb7aeb0
hex7fd4f60

134041440 has 96 divisors (see below), whose sum is σ = 454730976. Its totient is φ = 32993280.

The previous prime is 134041421. The next prime is 134041441. The reversal of 134041440 is 44140431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134041441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4501 + ... + 16980.

It is an arithmetic number, because the mean of its divisors is an integer number (4736781).

Almost surely, 2134041440 is an apocalyptic number.

134041440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134041440 is an abundant number, since it is smaller than the sum of its proper divisors (320689536).

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

134041440 is a wasteful number, since it uses less digits than its factorization.

134041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21512 (or 21504 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 134041440 is about 11577.6266998034. The cubic root of 134041440 is about 511.7757400029.

Adding to 134041440 its reverse (44140431), we get a palindrome (178181871).

The spelling of 134041440 in words is "one hundred thirty-four million, forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 21481 42962 64443 85924 107405 128886 171848 214810 257772 279253 322215 343696 429620 515544 558506 644430 687392 837759 859240 1031088 1117012 1288860 1396265 1675518 1718480 2062176 2234024 2577720 2792530 3351036 3436960 4188795 4468048 5155440 5585060 6702072 8377590 8936096 10310880 11170120 13404144 16755180 22340240 26808288 33510360 44680480 67020720 134041440