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141116652756 = 223237308934297
BaseRepresentation
bin1000001101101100110…
…1010011110011010100
3111111020122212201100200
42003123031103303110
54303001330342011
6144454511340500
713124000520462
oct2033315236324
9444218781320
10141116652756
1154935742962
1223423821730
13103cc023681
146b89a63832
153a0dc96856
hex20db353cd4

141116652756 has 72 divisors (see below), whose sum is σ = 366481675560. Its totient is φ = 45751412736.

The previous prime is 141116652751. The next prime is 141116652773. The reversal of 141116652756 is 657256611141.

141116652756 is a `hidden beast` number, since 1 + 4 + 1 + 11 + 66 + 527 + 56 = 666.

141116652756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 117313100100 + 23803552656 = 342510^2 + 154284^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141116652751) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4097400 + ... + 4131696.

Almost surely, 2141116652756 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 141116652756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183240837780).

141116652756 is an abundant number, since it is smaller than the sum of its proper divisors (225365022804).

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

141116652756 is a wasteful number, since it uses less digits than its factorization.

141116652756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37433 (or 37428 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 141116652756 in words is "one hundred forty-one billion, one hundred sixteen million, six hundred fifty-two thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 3089 6178 9267 12356 18534 27801 34297 37068 55602 68594 102891 111204 114293 137188 205782 228586 308673 342879 411564 457172 617346 685758 1028637 1234692 1268989 1371516 2057274 2537978 3806967 4114548 5075956 7613934 11420901 15227868 22841802 45683604 105943433 211886866 317830299 423773732 635660598 953490897 1271321196 1906981794 3813963588 3919907021 7839814042 11759721063 15679628084 23519442126 35279163189 47038884252 70558326378 141116652756