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230420444024032 = 25113178935619043
BaseRepresentation
bin110100011001000011110000…
…101101110000110011100000
31010012211222102220221012202121
4310121003300231300303200
5220200202032132232112
62134021405103154024
766351220256161453
oct6431036055606340
91105758386835677
10230420444024032
116746784166a629
1221a150385a5914
139b757296ca9b2
1440c85a23dd49a
151b98b7048a407
hexd190f0b70ce0

230420444024032 has 48 divisors (see below), whose sum is σ = 457910593474320. Its totient is φ = 114126829996032.

The previous prime is 230420444023999. The next prime is 230420444024033.

230420444024032 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230420444024033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11340498 + ... + 24278545.

It is an arithmetic number, because the mean of its divisors is an integer number (9539804030715).

Almost surely, 2230420444024032 is an apocalyptic number.

It is an amenable number.

230420444024032 is a deficient number, since it is larger than the sum of its proper divisors (227490149450288).

230420444024032 is a wasteful number, since it uses less digits than its factorization.

230420444024032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35620955 (or 35620947 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

The spelling of 230420444024032 in words is "two hundred thirty trillion, four hundred twenty billion, four hundred forty-four million, twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 113 226 452 904 1789 1808 3578 3616 7156 14312 28624 57248 202157 404314 808628 1617256 3234512 6469024 35619043 71238086 142476172 284952344 569904688 1139809376 4024951859 8049903718 16099807436 32199614872 63722467927 64399229744 127444935854 128798459488 254889871708 509779743416 1019559486832 2039118973664 7200638875751 14401277751502 28802555503004 57605111006008 115210222012016 230420444024032