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1341145146 = 231143612127
BaseRepresentation
bin100111111110000…
…0100000000111010
310110110121020021110
41033330010000322
510221313121041
6341025221150
745143355105
oct11774040072
93413536243
101341145146
11629050220
123151917b6
13184b12b13
14ca19173c
157cb1b516
hex4ff0403a

1341145146 has 96 divisors (see below), whose sum is σ = 3068043264. Its totient is φ = 387374400.

The previous prime is 1341145121. The next prime is 1341145171. The reversal of 1341145146 is 6415411431.

It is an interprime number because it is at equal distance from previous prime (1341145121) and next prime (1341145171).

It is a super-2 number, since 2×13411451462 = 3597340605278722632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10560135 + ... + 10560261.

It is an arithmetic number, because the mean of its divisors is an integer number (31958784).

Almost surely, 21341145146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1341145146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534021632).

1341145146 is an abundant number, since it is smaller than the sum of its proper divisors (1726898118).

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

1341145146 is a wasteful number, since it uses less digits than its factorization.

1341145146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 247 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 1341145146 is about 36621.6485975167. The cubic root of 1341145146 is about 1102.7877351222.

Adding to 1341145146 its reverse (6415411431), we get a palindrome (7756556577).

The spelling of 1341145146 in words is "one billion, three hundred forty-one million, one hundred forty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 22 33 43 61 66 86 122 127 129 183 254 258 366 381 473 671 762 946 1342 1397 1419 2013 2623 2794 2838 3721 4026 4191 5246 5461 7442 7747 7869 8382 10922 11163 15494 15738 16383 22326 23241 28853 32766 40931 46482 57706 60071 81862 85217 86559 120142 122793 160003 170434 173118 180213 245586 255651 320006 333121 360426 472567 480009 511302 666242 945134 960018 999363 1417701 1760033 1998726 2835402 3520066 3664331 5198237 5280099 7328662 10396474 10560198 10992993 15594711 20320381 21985986 31189422 40640762 60961143 121922286 223524191 447048382 670572573 1341145146