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141414468 = 223132103677
BaseRepresentation
bin10000110110111…
…01000001000100
3100212002121011220
420123131001010
5242200230333
622011000340
73335001036
oct1033350104
9325077156
10141414468
1172908868
123b4390b0
13233b4100
1414ad1c56
15c6358b3
hex86dd044

141414468 has 72 divisors (see below), whose sum is σ = 361303488. Its totient is φ = 43026048.

The previous prime is 141414461. The next prime is 141414479. The reversal of 141414468 is 864414141.

It is a happy number.

141414468 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (141414461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208546 + ... + 209222.

It is an arithmetic number, because the mean of its divisors is an integer number (5018104).

Almost surely, 2141414468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141414468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180651744).

141414468 is an abundant number, since it is smaller than the sum of its proper divisors (219889020).

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

141414468 is a wasteful number, since it uses less digits than its factorization.

141414468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 798 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 141414468 is about 11891.7815317975. The cubic root of 141414468 is about 520.9922719936.

The spelling of 141414468 in words is "one hundred forty-one million, four hundred fourteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 103 156 169 206 309 338 412 507 618 676 677 1014 1236 1339 1354 2028 2031 2678 2708 4017 4062 5356 8034 8124 8801 16068 17407 17602 26403 34814 35204 52221 52806 69628 69731 104442 105612 114413 139462 208884 209193 228826 278924 343239 418386 457652 686478 836772 906503 1372956 1813006 2719509 3626012 5439018 10878036 11784539 23569078 35353617 47138156 70707234 141414468