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145465512554304 = 2632252544292629
BaseRepresentation
bin100001000100110011010100…
…001100111110111101000000
3201002001100220200100121122100
4201010303110030332331000
5123031301332203214204
61233213533421110400
742432352002336645
oct4104632414767500
9632040820317570
10145465512554304
1142393639616868
12143942359b8400
13632245395b217
1427cc7d588ddcc
1511c3d59ca8a39
hex844cd433ef40

145465512554304 has 42 divisors (see below), whose sum is σ = 416950627132130. Its totient is φ = 48488504184576.

The previous prime is 145465512554269. The next prime is 145465512554309. The reversal of 145465512554304 is 403455215564541.

145465512554304 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 6 + 5 + 51 + 2 + 554 + 30 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 129574510286400 + 15891002267904 = 11383080^2 + 3986352^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145465512554309) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126272145739 + ... + 126272146890.

Almost surely, 2145465512554304 is an apocalyptic number.

It is an amenable number.

145465512554304 is an abundant number, since it is smaller than the sum of its proper divisors (271485114577826).

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

145465512554304 is a wasteful number, since it uses less digits than its factorization.

145465512554304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252544292647 (or 252544292634 counting only the distinct ones).

The product of its (nonzero) digits is 28800000, while the sum is 54.

The spelling of 145465512554304 in words is "one hundred forty-five trillion, four hundred sixty-five billion, five hundred twelve million, five hundred fifty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 252544292629 505088585258 757632877887 1010177170516 1515265755774 2020354341032 2272898633661 3030531511548 4040708682064 4545797267322 6061063023096 8081417364128 9091594534644 12122126046192 16162834728256 18183189069288 24244252092384 36366378138576 48488504184768 72732756277152 145465512554304