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141340410 = 23357173101
BaseRepresentation
bin10000110110010…
…10111011111010
3100211221211121000
420123022323322
5242140343120
622005225430
73334242111
oct1033127372
9324854530
10141340410
1172868162
123b402276
13233894a3
1414ab2c78
15c61d990
hex86caefa

141340410 has 128 divisors (see below), whose sum is σ = 391288320. Its totient is φ = 36288000.

The previous prime is 141340399. The next prime is 141340417. The reversal of 141340410 is 14043141.

It is a super-2 number, since 2×1413404102 = 39954222997936200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (141340417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1399360 + ... + 1399460.

It is an arithmetic number, because the mean of its divisors is an integer number (3056940).

Almost surely, 2141340410 is an apocalyptic number.

141340410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141340410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195644160).

141340410 is an abundant number, since it is smaller than the sum of its proper divisors (249947910).

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

141340410 is a wasteful number, since it uses less digits than its factorization.

141340410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 255 counting only the distinct ones).

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

The square root of 141340410 is about 11888.6672928466. The cubic root of 141340410 is about 520.9013091581.

Adding to 141340410 its reverse (14043141), we get a palindrome (155383551).

The spelling of 141340410 in words is "one hundred forty-one million, three hundred forty thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 71 73 90 101 135 142 146 202 213 219 270 303 355 365 426 438 505 606 639 657 710 730 909 1010 1065 1095 1278 1314 1515 1818 1917 1971 2130 2190 2727 3030 3195 3285 3834 3942 4545 5183 5454 6390 6570 7171 7373 9090 9585 9855 10366 13635 14342 14746 15549 19170 19710 21513 22119 25915 27270 31098 35855 36865 43026 44238 46647 51830 64539 66357 71710 73730 77745 93294 107565 110595 129078 132714 139941 155490 193617 199071 215130 221190 233235 279882 322695 331785 387234 398142 466470 523483 645390 663570 699705 968085 995355 1046966 1399410 1570449 1936170 1990710 2617415 3140898 4711347 5234830 7852245 9422694 14134041 15704490 23556735 28268082 47113470 70670205 141340410