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243132213504 = 2831721095427
BaseRepresentation
bin1110001001101111001…
…1110010100100000000
3212020120022011011011110
43202123303302210000
512440413321313004
6303405435043320
723365020500415
oct3423363624400
9766508134143
10243132213504
1194125883644
123b1545a0540
1319c092980bb
14baa667010c
1564cee19589
hex389bcf2900

243132213504 has 108 divisors (see below), whose sum is σ = 687389833424. Its totient is φ = 76276703232.

The previous prime is 243132213479. The next prime is 243132213523. The reversal of 243132213504 is 405312231342.

It is a super-2 number, since 2×2431322135042 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 325762 + ... + 769665.

Almost surely, 2243132213504 is an apocalyptic number.

243132213504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

243132213504 is an abundant number, since it is smaller than the sum of its proper divisors (444257619920).

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

243132213504 is a wasteful number, since it uses less digits than its factorization.

243132213504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095480 (or 1095449 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 243132213504 its reverse (405312231342), we get a palindrome (648444444846).

The spelling of 243132213504 in words is "two hundred forty-three billion, one hundred thirty-two million, two hundred thirteen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 289 384 408 544 578 768 816 867 1088 1156 1632 1734 2176 2312 3264 3468 4352 4624 6528 6936 9248 13056 13872 18496 27744 36992 55488 73984 110976 221952 1095427 2190854 3286281 4381708 6572562 8763416 13145124 17526832 18622259 26290248 35053664 37244518 52580496 55866777 70107328 74489036 105160992 111733554 140214656 148978072 210321984 223467108 280429312 297956144 316578403 420643968 446934216 595912288 633156806 841287936 893868432 949735209 1191824576 1266313612 1787736864 1899470418 2383649152 2532627224 3575473728 3798940836 4767298304 5065254448 7150947456 7597881672 10130508896 14301894912 15195763344 20261017792 30391526688 40522035584 60783053376 81044071168 121566106752 243132213504