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141416016 = 2437894729
BaseRepresentation
bin10000110110111…
…01011001010000
3100212002200022020
420123131121100
5242200303031
622011011440
73335005410
oct1033353120
9325080266
10141416016
1172909a45
123b439b80
13233b4a21
1414ad2640
15c636096
hex86dd650

141416016 has 80 divisors (see below), whose sum is σ = 422294400. Its totient is φ = 39942144.

The previous prime is 141416003. The next prime is 141416027. The reversal of 141416016 is 610614141.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 27540 + ... + 32268.

It is an arithmetic number, because the mean of its divisors is an integer number (5278680).

Almost surely, 2141416016 is an apocalyptic number.

141416016 is a gapful number since it is divisible by the number (16) 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 141416016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211147200).

141416016 is an abundant number, since it is smaller than the sum of its proper divisors (280878384).

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

141416016 is a wasteful number, since it uses less digits than its factorization.

141416016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4836 (or 4830 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 141416016 is about 11891.8466185870. The cubic root of 141416016 is about 520.9941730087.

The spelling of 141416016 in words is "one hundred forty-one million, four hundred sixteen thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 89 112 168 178 267 336 356 534 623 712 1068 1246 1424 1869 2136 2492 3738 4272 4729 4984 7476 9458 9968 14187 14952 18916 28374 29904 33103 37832 56748 66206 75664 99309 113496 132412 198618 226992 264824 397236 420881 529648 794472 841762 1262643 1588944 1683524 2525286 2946167 3367048 5050572 5892334 6734096 8838501 10101144 11784668 17677002 20202288 23569336 35354004 47138672 70708008 141416016