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146534326344 = 23337213844891
BaseRepresentation
bin1000100001111000100…
…0000110000001001000
3112000020020012001101000
42020132020012001020
54400100241420334
6151152243055000
713405154136300
oct2103610060110
9460206161330
10146534326344
115716589724a
1224496071460
1310a835710a3
1471413aa600
153c29703299
hex221e206048

146534326344 has 96 divisors (see below), whose sum is σ = 473495306400. Its totient is φ = 41866947360.

The previous prime is 146534326307. The next prime is 146534326361. The reversal of 146534326344 is 443623435641.

It is a happy number.

146534326344 is a `hidden beast` number, since 1 + 4 + 6 + 5 + 3 + 4 + 3 + 2 + 634 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 146534326344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6911862 + ... + 6933029.

It is an arithmetic number, because the mean of its divisors is an integer number (4932242775).

Almost surely, 2146534326344 is an apocalyptic number.

146534326344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

146534326344 is an abundant number, since it is smaller than the sum of its proper divisors (326960980056).

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

146534326344 is a wasteful number, since it uses less digits than its factorization.

146534326344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13844920 (or 13844903 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 45.

It can be divided in two parts, 146534 and 326344, that added together give a triangular number (472878 = T972).

The spelling of 146534326344 in words is "one hundred forty-six billion, five hundred thirty-four million, three hundred twenty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 3528 5292 10584 13844891 27689782 41534673 55379564 83069346 96914237 110759128 124604019 166138692 193828474 249208038 290742711 332277384 373812057 387656948 498416076 581485422 678399659 747624114 775313896 872228133 996832152 1162970844 1356799318 1495248228 1744456266 2035198977 2325941688 2616684399 2713598636 2990496456 3488912532 4070397954 5233368798 5427197272 6105596931 6977825064 8140795908 10466737596 12211193862 16281591816 18316790793 20933475192 24422387724 36633581586 48844775448 73267163172 146534326344