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141414810 = 23523311659
BaseRepresentation
bin10000110110111…
…01000110011010
3100212002121122120
420123131012122
5242200233220
622011002110
73335002035
oct1033350632
9325077576
10141414810
1172909049
123b439336
13233b4304
1414ad201c
15c635a40
hex86dd19a

141414810 has 64 divisors (see below), whose sum is σ = 355829760. Its totient is φ = 35900480.

The previous prime is 141414761. The next prime is 141414811. The reversal of 141414810 is 18414141.

141414810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1414148102 = 39996296974672200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (141414811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214261 + ... + 214919.

It is an arithmetic number, because the mean of its divisors is an integer number (5559840).

Almost surely, 2141414810 is an apocalyptic number.

141414810 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 141414810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177914880).

141414810 is an abundant number, since it is smaller than the sum of its proper divisors (214414950).

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

141414810 is a wasteful number, since it uses less digits than its factorization.

141414810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003.

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 141414810 is about 11891.7959114677. The cubic root of 141414810 is about 520.9926919865.

Adding to 141414810 its reverse (18414141), we get a palindrome (159828951).

The spelling of 141414810 in words is "one hundred forty-one million, four hundred fourteen thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 311 345 622 659 690 933 1318 1555 1866 1977 3110 3295 3954 4665 6590 7153 9330 9885 14306 15157 19770 21459 30314 35765 42918 45471 71530 75785 90942 107295 151570 204949 214590 227355 409898 454710 614847 1024745 1229694 2049490 3074235 4713827 6148470 9427654 14141481 23569135 28282962 47138270 70707405 141414810