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243162139968 = 2634114264207
BaseRepresentation
bin1110001001110110010…
…1111100110101000000
3212020122101110120120000
43202131211330311000
512440444001434333
6303412424320000
723365533041526
oct3423545746500
9766571416500
10243162139968
1194140763860
123b162613000
1319c12545777
14baaa620316
1564d287b713
hex389d97cd40

243162139968 has 140 divisors (see below), whose sum is σ = 786337012032. Its totient is φ = 73685479680.

The previous prime is 243162139943. The next prime is 243162139999. The reversal of 243162139968 is 869931261342.

243162139968 is a `hidden beast` number, since 2 + 4 + 3 + 1 + 621 + 3 + 9 + 9 + 6 + 8 = 666.

243162139968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2075080 + ... + 2189127.

Almost surely, 2243162139968 is an apocalyptic number.

It is an amenable number.

243162139968 is an abundant number, since it is smaller than the sum of its proper divisors (543174872064).

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

243162139968 is a wasteful number, since it uses less digits than its factorization.

243162139968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264242 (or 4264223 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 243162139968 in words is "two hundred forty-three billion, one hundred sixty-two million, one hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 576 594 648 704 792 864 891 1056 1188 1296 1584 1728 1782 2112 2376 2592 3168 3564 4752 5184 6336 7128 9504 14256 19008 28512 57024 4264207 8528414 12792621 17056828 25585242 34113656 38377863 46906277 51170484 68227312 76755726 93812554 102340968 115133589 136454624 140718831 153511452 187625108 204681936 230267178 272909248 281437662 307022904 345400767 375250216 409363872 422156493 460534356 562875324 614045808 690801534 750500432 818727744 844312986 921068712 1125750648 1228091616 1266469479 1381603068 1501000864 1688625972 1842137424 2251501296 2456183232 2532938958 2763206136 3002001728 3377251944 3684274848 3799408437 4503002592 5065877916 5526412272 6754503888 7368549696 7598816874 9006005184 10131755832 11052824544 13509007776 15197633748 20263511664 22105649088 27018015552 30395267496 40527023328 60790534992 81054046656 121581069984 243162139968