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141318000 = 2433532617
BaseRepresentation
bin10000110110001…
…01011101110000
3100211220200212000
420123011131300
5242134134000
622004534000
73334116555
oct1033053560
9324820760
10141318000
117285233a
123b3b1300
132337c225
1414aa8a2c
15c617000
hex86c5770

141318000 has 160 divisors (see below), whose sum is σ = 506425920. Its totient is φ = 37670400.

The previous prime is 141317993. The next prime is 141318011. The reversal of 141318000 is 813141.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52692 + ... + 55308.

It is an arithmetic number, because the mean of its divisors is an integer number (3165162).

Almost surely, 2141318000 is an apocalyptic number.

141318000 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 141318000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253212960).

141318000 is an abundant number, since it is smaller than the sum of its proper divisors (365107920).

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

141318000 is a wasteful number, since it uses less digits than its factorization.

141318000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 141318000 is about 11887.7247612821. The cubic root of 141318000 is about 520.8737774815.

The spelling of 141318000 in words is "one hundred forty-one million, three hundred eighteen thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 125 135 144 150 180 200 216 225 240 250 270 300 360 375 400 432 450 500 540 600 675 720 750 900 1000 1080 1125 1200 1350 1500 1800 2000 2160 2250 2617 2700 3000 3375 3600 4500 5234 5400 6000 6750 7851 9000 10468 10800 13085 13500 15702 18000 20936 23553 26170 27000 31404 39255 41872 47106 52340 54000 62808 65425 70659 78510 94212 104680 117765 125616 130850 141318 157020 188424 196275 209360 235530 261700 282636 314040 327125 353295 376848 392550 471060 523400 565272 588825 628080 654250 706590 785100 942120 981375 1046800 1130544 1177650 1308500 1413180 1570200 1766475 1884240 1962750 2355300 2617000 2826360 2944125 3140400 3532950 3925500 4710600 5234000 5652720 5888250 7065900 7851000 8832375 9421200 11776500 14131800 15702000 17664750 23553000 28263600 35329500 47106000 70659000 141318000