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1341115040 = 255172392063
BaseRepresentation
bin100111111101111…
…1100101010100000
310110110112200222102
41033323330222200
510221311140130
6341024425532
745143201246
oct11773745240
93413480872
101341115040
1162902a641
123151782a8
13184b021c5
14ca184796
157cb12645
hex4fefcaa0

1341115040 has 96 divisors (see below), whose sum is σ = 3370429440. Its totient is φ = 502534144.

The previous prime is 1341115033. The next prime is 1341115049. The reversal of 1341115040 is 405111431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1341115049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 649049 + ... + 651111.

It is an arithmetic number, because the mean of its divisors is an integer number (35108640).

Almost surely, 21341115040 is an apocalyptic number.

1341115040 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 1341115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685214720).

1341115040 is an abundant number, since it is smaller than the sum of its proper divisors (2029314400).

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

1341115040 is a wasteful number, since it uses less digits than its factorization.

1341115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1341115040 is about 36621.2375541843. The cubic root of 1341115040 is about 1102.7794832747.

Adding to 1341115040 its reverse (405111431), we get a palindrome (1746226471).

The spelling of 1341115040 in words is "one billion, three hundred forty-one million, one hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 239 272 340 478 544 680 956 1195 1360 1912 2063 2390 2720 3824 4063 4126 4780 7648 8126 8252 9560 10315 16252 16504 19120 20315 20630 32504 33008 35071 38240 40630 41260 65008 66016 70142 81260 82520 130016 140284 162520 165040 175355 280568 325040 330080 350710 493057 561136 650080 701420 986114 1122272 1402840 1972228 2465285 2805680 3944456 4930570 5611360 7888912 8381969 9861140 15777824 16763938 19722280 33527876 39444560 41909845 67055752 78889120 83819690 134111504 167639380 268223008 335278760 670557520 1341115040