Search a number
-
+
141465645346064 = 24131624941856317
BaseRepresentation
bin100000001010100110001001…
…100010011110110100010000
3200112212222120001112102202112
4200022212021202132310100
5122020233120202033224
61220512230441204452
741540361366132524
oct4012461142366420
9615788501472675
10141465645346064
1141091274883656
1213a48ba6490728
1360c21cb517bc0
1426d0d8c039d84
151154ca57ce30e
hex80a98989ed10

141465645346064 has 40 divisors (see below), whose sum is σ = 295191682695000. Its totient is φ = 65287816547328.

The previous prime is 141465645346033. The next prime is 141465645346099. The reversal of 141465645346064 is 460643546564141.

It can be written as a sum of positive squares in 4 ways, for example, as 20663388490000 + 120802256856064 = 4545700^2 + 10991008^2 .

It is a junction number, because it is equal to n+sod(n) for n = 141465645345994 and 141465645346012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17548367 + ... + 24307950.

It is an arithmetic number, because the mean of its divisors is an integer number (7379792067375).

Almost surely, 2141465645346064 is an apocalyptic number.

It is an amenable number.

141465645346064 is an abundant number, since it is smaller than the sum of its proper divisors (153726037348936).

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

141465645346064 is a wasteful number, since it uses less digits than its factorization.

141465645346064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41872587 (or 41872581 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 59.

The spelling of 141465645346064 in words is "one hundred forty-one trillion, four hundred sixty-five billion, six hundred forty-five million, three hundred forty-six thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 16249 32498 64996 129992 211237 259984 422474 844948 1689896 3379792 41856317 83712634 167425268 334850536 544132121 669701072 1088264242 2176528484 4353056968 8706113936 680123294933 1360246589866 2720493179732 5440986359464 8841602834129 10881972718928 17683205668258 35366411336516 70732822673032 141465645346064