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241466331664 = 2437735587429
BaseRepresentation
bin1110000011100010000…
…0111101001000010000
3212002021012111120220001
43200320200331020100
512424010340103124
6302532245255344
723305521645145
oct3407040751020
9762235446801
10241466331664
11934504a3998
123a96a704554
1319a021060bc
14b98930a3cc
156433a54b44
hex383883d210

241466331664 has 40 divisors (see below), whose sum is σ = 487067447960. Its totient is φ = 115860907008.

The previous prime is 241466331599. The next prime is 241466331707. The reversal of 241466331664 is 466133664142.

241466331664 is digitally balanced in base 3, 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 100811330064 + 140655001600 = 317508^2 + 375040^2 .

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, 2750499 + ... + 2836930.

It is an arithmetic number, because the mean of its divisors is an integer number (12176686199).

Almost surely, 2241466331664 is an apocalyptic number.

It is an amenable number.

241466331664 is an abundant number, since it is smaller than the sum of its proper divisors (245601116296).

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

241466331664 is a wasteful number, since it uses less digits than its factorization.

241466331664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5587547 (or 5587541 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 46.

The spelling of 241466331664 in words is "two hundred forty-one billion, four hundred sixty-six million, three hundred thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 37 73 74 146 148 292 296 584 592 1168 2701 5402 10804 21608 43216 5587429 11174858 22349716 44699432 89398864 206734873 407882317 413469746 815764634 826939492 1631529268 1653878984 3263058536 3307757968 6526117072 15091645729 30183291458 60366582916 120733165832 241466331664