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141770106880 = 2115151277331
BaseRepresentation
bin1000010000001000101…
…0000010100000000000
3111112221012110121220021
42010002022002200000
54310321121410010
6145043413223224
713146124011523
oct2040212024000
9445835417807
10141770106880
1155140590696
1223586631b14
13104a451690c
146c0c762bba
153a4b3228da
hex2102282800

141770106880 has 192 divisors, whose sum is σ = 344692333440. Its totient is φ = 55959552000.

The previous prime is 141770106869. The next prime is 141770106889. The reversal of 141770106880 is 88601077141.

It is not an unprimeable number, because it can be changed into a prime (141770106889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428308315 + ... + 428308645.

It is an arithmetic number, because the mean of its divisors is an integer number (1795272570).

Almost surely, 2141770106880 is an apocalyptic number.

141770106880 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 141770106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172346166720).

141770106880 is an abundant number, since it is smaller than the sum of its proper divisors (202922226560).

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

141770106880 is a wasteful number, since it uses less digits than its factorization.

141770106880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 43.

The spelling of 141770106880 in words is "one hundred forty-one billion, seven hundred seventy million, one hundred six thousand, eight hundred eighty".