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146343234304 = 281912992949
BaseRepresentation
bin1000100001001010111…
…1001000101100000000
3111222201220121120101001
42020102233020230000
54344202331444204
6151121255221344
713400343652531
oct2102257105400
9458656546331
10146343234304
1157077a38a43
1224442077854
1310a52ab5587
147123c66688
153c17a584a4
hex2212bc8b00

146343234304 has 36 divisors (see below), whose sum is σ = 293644310400. Its totient is φ = 72788495360.

The previous prime is 146343234269. The next prime is 146343234307. The reversal of 146343234304 is 403432343641.

It is not an unprimeable number, because it can be changed into a prime (146343234307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1447579 + ... + 1545370.

It is an arithmetic number, because the mean of its divisors is an integer number (8156786400).

Almost surely, 2146343234304 is an apocalyptic number.

It is an amenable number.

146343234304 is an abundant number, since it is smaller than the sum of its proper divisors (147301076096).

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

146343234304 is an equidigital number, since it uses as much as digits as its factorization.

146343234304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993156 (or 2993142 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 37.

Adding to 146343234304 its reverse (403432343641), we get a palindrome (549775577945).

The spelling of 146343234304 in words is "one hundred forty-six billion, three hundred forty-three million, two hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 191 256 382 764 1528 3056 6112 12224 24448 48896 2992949 5985898 11971796 23943592 47887184 95774368 191548736 383097472 571653259 766194944 1143306518 2286613036 4573226072 9146452144 18292904288 36585808576 73171617152 146343234304