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141320340 = 223257591901
BaseRepresentation
bin10000110110001…
…10000010010100
3100211220211001200
420123012002110
5242134222330
622004552500
73334126440
oct1033060224
9324824050
10141320340
1172854077
123b3b2730
1323380305
1414aa9820
15c617a60
hex86c6094

141320340 has 144 divisors (see below), whose sum is σ = 498476160. Its totient is φ = 31737600.

The previous prime is 141320339. The next prime is 141320363. The reversal of 141320340 is 43023141.

141320340 is a `hidden beast` number, since 1 + 4 + 1 + 320 + 340 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73390 + ... + 75290.

It is an arithmetic number, because the mean of its divisors is an integer number (3461640).

Almost surely, 2141320340 is an apocalyptic number.

141320340 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 141320340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249238080).

141320340 is an abundant number, since it is smaller than the sum of its proper divisors (357155820).

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

141320340 is a wasteful number, since it uses less digits than its factorization.

141320340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 141320340 is about 11887.8231817268. The cubic root of 141320340 is about 520.8766524112.

Adding to 141320340 its reverse (43023141), we get a palindrome (184343481).

The spelling of 141320340 in words is "one hundred forty-one million, three hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 59 60 63 70 84 90 105 118 126 140 177 180 210 236 252 295 315 354 413 420 531 590 630 708 826 885 1062 1180 1239 1260 1652 1770 1901 2065 2124 2478 2655 3540 3717 3802 4130 4956 5310 5703 6195 7434 7604 8260 9505 10620 11406 12390 13307 14868 17109 18585 19010 22812 24780 26614 28515 34218 37170 38020 39921 53228 57030 66535 68436 74340 79842 85545 112159 114060 119763 133070 159684 171090 199605 224318 239526 266140 336477 342180 399210 448636 479052 560795 598815 672954 785113 798420 1009431 1121590 1197630 1345908 1570226 1682385 2018862 2243180 2355339 2395260 3140452 3364770 3925565 4037724 4710678 5047155 6729540 7066017 7851130 9421356 10094310 11776695 14132034 15702260 20188620 23553390 28264068 35330085 47106780 70660170 141320340