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141991056 = 24343312
BaseRepresentation
bin10000111011010…
…01110010010000
3100220011220010000
420131221302100
5242322203211
622031210000
73342622044
oct1035516220
9326156100
10141991056
1173171a89
123b676900
132355669c
1414c02024
15c6eb656
hex8769c90

141991056 has 75 divisors (see below), whose sum is σ = 412208643. Its totient is φ = 47187360.

The previous prime is 141991051. The next prime is 141991063. The reversal of 141991056 is 650199141.

The square root of 141991056 is 11916.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×1419910562 = 40322919967990272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 141991056.

It is not an unprimeable number, because it can be changed into a prime (141991051) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 428811 + ... + 429141.

Almost surely, 2141991056 is an apocalyptic number.

141991056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

141991056 is the 11916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141991056

141991056 is an abundant number, since it is smaller than the sum of its proper divisors (270217587).

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

141991056 is an frugal number, since it uses more digits than its factorization.

141991056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The cubic root of 141991056 is about 521.6993909297.

Multiplying 141991056 by its sum of digits (36), we get a square (5111678016 = 714962).

141991056 divided by its sum of digits (36) gives a square (3944196 = 19862).

The spelling of 141991056 in words is "one hundred forty-one million, nine hundred ninety-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 331 432 648 662 993 1296 1324 1986 2648 2979 3972 5296 5958 7944 8937 11916 15888 17874 23832 26811 35748 47664 53622 71496 107244 109561 142992 214488 219122 328683 428976 438244 657366 876488 986049 1314732 1752976 1972098 2629464 2958147 3944196 5258928 5916294 7888392 8874441 11832588 15776784 17748882 23665176 35497764 47330352 70995528 141991056