Search a number
-
+
141657367104 = 263611276019
BaseRepresentation
bin1000001111101101101…
…1111110001001000000
3111112122100022212000000
42003323123332021000
54310103241221404
6145024305000000
713143254516241
oct2037333761100
9445570285000
10141657367104
1155092988620
1223554923000
13104870624a6
146bdb7b6cc8
153a414a3339
hex20fb6fe240

141657367104 has 196 divisors, whose sum is σ = 459775346640. Its totient is φ = 42926319360.

The previous prime is 141657367079. The next prime is 141657367127. The reversal of 141657367104 is 401763756141.

It is a happy number.

141657367104 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 573 + 6 + 71 + 0 + 4 = 666.

141657367104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 141657367104.

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 27 ways as a sum of consecutive naturals, for example, 375207 + ... + 651225.

Almost surely, 2141657367104 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 141657367104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229887673320).

141657367104 is an abundant number, since it is smaller than the sum of its proper divisors (318117979536).

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

141657367104 is an equidigital number, since it uses as much as digits as its factorization.

141657367104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276060 (or 276035 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 141657367104 in words is "one hundred forty-one billion, six hundred fifty-seven million, three hundred sixty-seven thousand, one hundred four".