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141143546456 = 231110135714447
BaseRepresentation
bin1000001101110011001…
…1111001101001011000
3111111022112111001120122
42003130303321221120
54303030221441311
6144501312012412
713124445230663
oct2033463715130
9444275431518
10141143546456
1154949941560
1223430831108
131040477b7c3
146b8d4646da
153a1130a0db
hex20dccf9a58

141143546456 has 64 divisors (see below), whose sum is σ = 291708380160. Its totient is φ = 63488880000.

The previous prime is 141143546417. The next prime is 141143546549. The reversal of 141143546456 is 654645341141.

141143546456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31736825 + ... + 31741271.

It is an arithmetic number, because the mean of its divisors is an integer number (4557943440).

Almost surely, 2141143546456 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 141143546456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145854190080).

141143546456 is an abundant number, since it is smaller than the sum of its proper divisors (150564833704).

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

141143546456 is a wasteful number, since it uses less digits than its factorization.

141143546456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8136 (or 8132 counting only the distinct ones).

The product of its digits is 691200, while the sum is 44.

Adding to 141143546456 its reverse (654645341141), we get a palindrome (795788887597).

The spelling of 141143546456 in words is "one hundred forty-one billion, one hundred forty-three million, five hundred forty-six thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 22 44 88 101 202 404 808 1111 2222 3571 4444 4447 7142 8888 8894 14284 17788 28568 35576 39281 48917 78562 97834 157124 195668 314248 360671 391336 449147 721342 898294 1442684 1796588 2885368 3593176 3967381 4940617 7934762 9881234 15869524 15880237 19762468 31739048 31760474 39524936 63520948 127041896 174682607 349365214 698730428 1397460856 1603903937 3207807874 6415615748 12831231496 17642943307 35285886614 70571773228 141143546456