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243220105344 = 2731921754531
BaseRepresentation
bin1110001010000100001…
…1000100100010000000
3212020210102112112002210
43202201003010202000
512441103321332334
6303422254542120
723400135533016
oct3424103044200
9766712475083
10243220105344
1194170455027
123b179b07940
1319c2155c5c8
14bab41cc8b6
1564d79cb5e9
hex38a10c4880

243220105344 has 96 divisors (see below), whose sum is σ = 681846225840. Its totient is φ = 76806305280.

The previous prime is 243220105343. The next prime is 243220105411. The reversal of 243220105344 is 443501022342.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (243220105343) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 738642 + ... + 1015889.

Almost surely, 2243220105344 is an apocalyptic number.

243220105344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

243220105344 is an abundant number, since it is smaller than the sum of its proper divisors (438626120496).

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

243220105344 is a wasteful number, since it uses less digits than its factorization.

243220105344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754586 (or 1754555 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 243220105344 its reverse (443501022342), we get a palindrome (686721127686).

The spelling of 243220105344 in words is "two hundred forty-three billion, two hundred twenty million, one hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 361 384 456 608 722 912 1083 1216 1444 1824 2166 2432 2888 3648 4332 5776 7296 8664 11552 17328 23104 34656 46208 69312 138624 1754531 3509062 5263593 7018124 10527186 14036248 21054372 28072496 33336089 42108744 56144992 66672178 84217488 100008267 112289984 133344356 168434976 200016534 224579968 266688712 336869952 400033068 533377424 633385691 673739904 800066136 1066754848 1266771382 1600132272 1900157073 2133509696 2533542764 3200264544 3800314146 4267019392 5067085528 6400529088 7600628292 10134171056 12801058176 15201256584 20268342112 30402513168 40536684224 60805026336 81073368448 121610052672 243220105344